Rouven frassek durham. By applying the Lie algebra expansion to the isometry algebra, we obtain different σ-models, where the number of dynamical fields can change. ) Davide Fioravanti (Bologna U. frassek,i. Szécsényi Department of Mathematical Sciences, Durham University, South Road, Durham DH1 3LE, United Kingdom We present an algorithmic perturbative solution of ABJM quantum spectral curve at twist 1 in sl (2) sector for arbitrary spin values, which can be applied to, in principle, arbitrary order of perturbation theory. After deriving the fundamental commutation relations relevant for this case from the Yang–Baxter equation we demonstrate that the Q-operators act diagonally on the Bethe vectors if the Bethe equations are satisfied. uk, fe- dor. and Humboldt U. Szécsényi Department of Mathematical Sciences, Durham University, South Road, Durham DH1 3LE, United Kingdom Rouven Frassek and István M. Szécsényi Department of Mathematical Sciences, Durham University, South Road, Durham DH1 3LE, United Kingdom Integrability in Gauge and String Theory 2012: Participants. Subsequently, I will combine the ideas of the Q-operator construction with Sklyanin’s formulation of the quantum inverse scattering method for systems with boundaries to construct Q-operators for the open Heisenberg spin chains with diagonal boundary Young Researchers Integrability School Durham, 6th - 10th July 2015 Organizing committee: Alessandra Cagnazzo, Rouven Frassek, Alessandro Sfondrini, István Szécsényi, Stijn van Tongeren Scientific committee: Zoltan Bajnok, Patrick Dorey, Charlotte Kristjansen, Roberto Tateo Contact: gatis. Focussing on the colour-ordered super form factors of the chiral part of the stress-tensor multiplet as an example, we show how to systematically construct on-shell diagrams for these form factors with the minimal On sinh-Gordon Thermodynamic Bethe Ansatz and fermionic basis #25 Stefano Negro ( Durham U. levkovich@gmail. frassek@durham. ) , We study (non-)integrability and the presence of chaos in gravity dual backgrounds of strongly coupled gauge theories with unquenched flavor, specifically of the four-dimensional \mathcal {N}=2 N = 2 super Yang-Mills theory and the three-dimensional ABJM theory. phys. Each subset corresponds to a single boundary of the non-planar on-shell diagram. We argue that the Q-operators defined in this way are polynomials in the spectral parameter and show that they Rouven Frassek Research: Integrable structures in N = 4 super Yang-Mills theory Education 2010–2014 Research doctorate (PhD) Humboldt University of Berlin and Albert-Einstein-Institute, Germany. As a consequence they are special solutions to the eigenvalue problem of the associated transfer Rouven Frassek,a David Meidinger,b Dhritiman Nandanb and Matthias Wilhelmb aDepartment of Mathematical Sciences, Durham University, South Road, Durham DH1 3LE, U. bInstitut fur Mathematik und Institut fur Physik, Humboldt-Universitat zu Berlin, IRIS Gebaude, Zum Gro en Windkanal 6, 12489 Berlin, Germany This is the extended write-up of a series of lectures on the duality between the Sine-Gordon model and the Thirring model. frassek@unimore. As a consequence they are special solutions to the eigenvalue problem of the associated transfer E-mails: diegobombardelli@gmail. arXiv:2004. The Q-operators are defined as traces over an infinite-dimensional auxiliary space involving novel types of reflection operators derived from the boundary Yang–Baxter equation. ) Marco Rossi (Calabria U. While Yangian invariance is E-mails: diegobombardelli@gmail. The process of orbifolding to obtain an N N = 2 theory would appear to break the SU (4) R-symmetry down to SU (2) × SU (2) × U (1). In this way we provide a direct proof that Apr 20, 2015 · 3LE, UK E-mail: rouven. 3339 Rouven FRASSEK | Cited by 591 | of Institut des Hautes Études Scientifiques, Bures-sur-Yvette (IHÉS) | Read 39 publications | Contact Rouven FRASSEK May 18, 2016 · We take up the study of integrable structures behind non-planar contributions to scattering amplitudes in N = 4 \mathcal {N}=4 N=4 super Yang-Mills theory. 06825 Published in Nuclear Physics B 956 (2020) 115063 Eigenstates of triangularisable open XXX spin chains Mar 11, 2024 · Personalized learning path planning for higher education based on deep generative models and quantum machine learning: a multimodal learning analysis method integrating transformer, adversarial training and quantum state classification We present the technique for resummation of flux tube excitations series arising in pentagon operator expansion program for polygonal Wilson loops in N=4 SYM. of Math. Meidinger From Baxter Q-Operators to Local Charges Rouven Frassek ( Humboldt U. uk Supported by GATIS Postdoc (Early Stage Researcher) Department of Mathematical Sciences of Durham University, Durham, UK Jun 30, 2015 · Q-operators, Yangian invariance and the quantum inverse scattering method Rouven Frassek ( Durham U. ) Dec 10, 2014 We study solutions of the reflection equation associated with the quantum affine algebra and obtain diagonal K-operators in terms of the Cartan elements of a quotient of U q (gl (N)). hu-berlin. Ferranda and V. Rouven Frassek ( Ecole Normale Superieure, LPS ) , Cristian Giardinà ( Modena U. We also consider intertwining relations for these K-operators and find an augmented q-Onsager algebra like symmetry behind them. bInstitut fur Mathematik und Institut fur Physik, Humboldt-Universitat zu Berlin, IRIS Gebaude, Zum Gro en Windkanal 6, 12489 Berlin, Germany Patrick Dorey (University of Durham) Reinhold Egger (HHU Düsseldorf) Antonino Flachi (Keio University) Davide Fioravanti (Università di Bologna) Pierpaolo Fontana (Universitat Autonoma de Barcelona) Rouven Frassek (Università di Modena and Reggio Emilia) Fabian Hassler (Aachen Universtaet) Enej Ilievski (Univerza v Ljubljani) Shota Komatsu Rouven Frassek Postdoctoral researcher at ENS Paris Click on the arXiv number to view the full article The QQ-system of so (2r) spin chains from Q-operators with G. Jun 29, 2020 · We give an introduction to the Quantum Spectral Curve in AdS/CFT. uk Abstract W e construct Q-op erators for the open spin- 1 Jun 26, 2015 · On-shell diagrams, Graßmannians and integrability for form factors Rouven Frassek ( Rouven Frassek and István M. This is an integrability-based framework which provides the exact spectrum of planar super Yang–Mills theory (and of the dual string model) in terms of a solution of a Riemann–Hilbert problem for a finite set of functions. Szécsényi Department of Mathematical Sciences, Durham University, South Road, Durham DH1 3LE, United Kingdom Berislav Buca (NBI Copenhagen U. com, alessandra. fr On-shell Diagrams, Graßmannians and Integrability for Form Factors Rouven Frassek a David Meidinger b Dhritiman Nandan b , , , Rouven Frassek and István M. © Rouven Frassek. Frassek arXiv:2001. de, a. Using results by Bargheer, Beisert and Loebbert we show that the deforming operator is composite and constructed out of two currents Jul 27, 2025 · View a PDF of the paper titled Steady state representations for the harmonic process, by Rouven Frassek Jul 21, 2016 · We give a pedagogical introduction to the thermodynamic Bethe ansatz, a method that allows us to describe the thermodynamics of integrable models whose spectrum is found via the (asymptotic) Bethe ansatz. A 29 (2014) 20, 1450111 Algebraic Bethe ansatz for Q-operators: The Heisenberg spin chain Rouven Frassek rouven. ethz. de, rouven. By examining string motion on the geometries corresponding to backreacted D3/D7 and D2/D6 systems, we show that integrable theories arXiv:1706. ) (Apr 2, 2014) Published in: Int. Among these models, we first identify a unique supergravity deformation confined to an S L (2, R) SL(2,R) sector and with constant dilaton. uk Department of Mathematical Sciences, Durham University, South Road, Durham DH1 3LE, United Kingdom Institut für Mathematik und Institut für Physik, Humboldt-Universität zu Berlin, IRIS-Adlershof, Zum Großen Windkanal 6, 12489 Berlin, Germany Algebraic Bethe ansatz for Q-operators: The Heisenberg spin chain Rouven Frassek rouven. Szécsényi Department of Mathematical Sciences, Durham University, South Road, Durham DH1 3LE, United Kingdom E-mails: diegobombardelli@gmail. ) Eric Vernier (CNRS/LPSM Abstract We propose that Baxter's Z -invariant six-vertex model at the rational gl (2) point on a planar but in general not rectangular lattice provides a way to study Yangian invariants. After introducing the quantum inverse scattering method I will review the construction of Baxter Q-operators for closed rational spin chains. We argue that the Q-operators defined in this way are polynomials in the spectral We consider current-current deformations that generalize TT¯ ones, and show that they may be also introduced for integrable spin chains. Szécsényi Department of Mathematical Sciences, Durham University, South Road, Durham DH1 3LE, United Kingdom Rouven Frassek,a David Meidinger,b Dhritiman Nandanb and Matthias Wilhelmb aDepartment of Mathematical Sciences, Durham University, South Road, Durham DH1 3LE, U. uk arXiv:1606. These are identified with eigenfunctions of certain monodromies of an au Read More about Bethe ansatz for Yangian invariants: Towards super Yang–Mills scattering amplitudes. , Berlin and Potsdam, Max Planck Inst. , Berlin, Inst. These are identified with eigenfunctions of certain monodromies of an auxiliary inhomogeneous spin chain. and Oxford U. ) , Jorge Kurchan ( Ecole Normale Superieure, LPS ) (Aug 8, 2020) Published in: SciPost Phys. and INFN, Turin and Turin U. While Yangian invariance is broken David Fairlie (Durham + Manchester) Sam Fearn (Durham) Rouven Frassek (Durham) Nicholas Iles (Kings) Anatoly Konechny (Heriot-Watt) Charlotte Kristjansen (NBI, Copenhagen) Niall MacKay (York) Vidas Regelskis (Surrey) Douglas Smith (Durham) Ryo Suzuki (Oxford) Istvan Szecsenyi (Durham) Xin Tang (Durham) Anne Taormina (Durham) Alessandro Rouven Frassek and István M. 38 (1999) 1113-1133 (reprint), Adv. ens. In this paper, we apply the method of Lie algebra expansion to superstring σ-models with a ℤ 4 4 coset target space. We review the underlying QQ relations starting from simple spin chain examples, and describe the Abstract We propose that Baxter's Z -invariant six-vertex model at the rational gl (2) point on a planar but in general not rectangular lattice provides a way to study Yangian invariants. Here we restrict ourselves with contributions of one-particle effective states and consider as a particular example NMHV6 amplitude at one-loop. Symmetry, Integrability and Geometry: Methods and Applications 15, 031, 2019. summerschool@durham. ) Ana Lucia Retore (Durham U. uk, svantongeren@physik. m. ) , David Meidinger ( Abstract We construct Q-operators for the open spin-View the MathML source XXX Heisenberg spin chain with diagonal boundary matrices. Kurchan. Frassek, C. , Berlin and Humboldt U. We reproduce and extend in a systematic way Description Visit of Rouven Frassek During the visit gave a talk to the Maths Physics Seminar called Q-operator construction for rational closed spin chains Description Visit of Rouven Frassek During the visit gave a talk to the Maths Physics Seminar called Q-operator construction for rational closed spin chains Abstract We apply on-shell and integrability methods that have been developed in the context of scattering amplitudes in N=4N=4 SYM theory to tree-level form factors of this theory. negro@lpt. it 1 University of Modena and Reggio Emilia, FIM, Via G. Polylogarithms as a Bridge between Number Theory and Particle Physics2013-07-03 to 2013-07-12 Registered Participants Sep 16, 2015 · Department of Mathematical Sciences, Durham Universit y, South Road, Durham DH1 3LE, United Kingdom rouven. Jul 4, 2021 · Access Paper: View a PDF of the paper titled Exact solution of an integrable non-equilibrium particle system, by Rouven Frassek and Cristian Giardin\`a View PDF HTML (experimental) TeX Source Other Formats BibTeX formatted citation × 3LE, UK E-mail: rouven. Try again later. Final year at Durham University, United Kingdom 2004–2010 Diploma studies in Physics 2007–2010 2006–2007 2004–2006 Sep 14, 2023 · Evaluation of the operatorial Q-system for non-compact super spin chains #3 Rouven Frassek ( IHES, Bures-sur-Yvette ) , Rouven Frassek,a David Meidinger,b Dhritiman Nandanb and Matthias Wilhelmb aDepartment of Mathematical Sciences, Durham University, South Road, Durham DH1 3LE, U. ) e-Print: 1412. html Abstract We take up the study of integrable structures behind non-planar contributions to scattering amplitudes in N=4N=4 super Yang-Mills theory. Published in: JHEP 11 (2012) 133, JHEP 04 (2013) 003 (erratum) Rouven Frasseka and David Meidingerb aDepartment of Mathematical Sciences, Durham University, South Road, Durham DH1 3LE, United Kingdom bInstitut fur Mathematik und Institut fur Physik, Humboldt-Universitat zu Berlin, Zum Gro en Windkanal 6, 12489 Berlin, Germany E-mail: rouven. 03476 [cond-mat. 02945v1 [hep-th] 9 Jun 2016 Rouven Frassek Project: Integrable structures in N = 4 super Yang-Mills theory Rouven Frassek Project: Integrable structures in N = 4 super Yang-Mills theory 3LE, UK E-mail: rouven. uk Supported by GATIS We construct Q-operators for the open spin- 12 XXX Heisenberg spin chain with diagonal boundary matrices. ) Juan Miguel Nieto Garcia (Hamburg U. Szécsényi Aug 3, 2022 Jun 2, 2017 · Bethe Ansatz for Yangian Invariants: Towards Super Yang-Mills Scattering Amplitudes Rouven Frassek ( Durham U. and Potsdam, Max Planck Inst. Kazakov The non-compact XXZ chain as integrable stochastic particle process Non-compact spin chains as stochastic particle processes with C. uk Department of Mathematical Sciences, Durham University, South Road, Durham DH1 3LE, United Kingdom Rouven Frassek (Department of Mathematical Sciences, Durham University, South Road, Durham DH1 3LE, United Kingdom) ; István M. 10 (2021) 6, 135 • e-Print: 2008. K. Szécsényi (Department of Mathematical Sciences, Durham University, South Road, Durham DH1 3LE, United Kingdom) We construct Q-operators for the open spin- 12 XXX Heisenberg spin chain with diagonal boundary matrices. com, loebbert@physik. We show that the broken generators can be recovered by moving beyond the Lie algebraic setting to that of a Lie algebroid. Focussing on the colour-ordered super form factors of the chiral part of the stress-tensor multiplet as an example, we show how to systematically construct on-shell diagrams for these form factors with the minimal Lie algebra expansion is a technique to generate new Lie algebras from a given one. de, stefano. ac. stat-mech] pdf DOI cite claim reference search6 citations Duality and hidden equilibrium in transport models #13 Rouven We take up the study of integrable structures behind non-planar contributions to scattering amplitudes in N=4N=4 super Yang-Mills theory. ) Alessandro Torrielli (Surrey U. The presented technique is also applicable at higher loops for one effective particle Abstract We diagonalize Q-operators for rational homogeneous sl (2)-invariant Heisenberg spin chains using the algebraic Bethe ansatz. Positions ce 2013–2016 Early Stage Researcher Department of Mathematical Sciences of Durham University, Durham, UK 2018–2019 Postdoctoral Researcher Max Planck Institute for Mathematics (MPIM), Bonn, Germany 2016–2018 Postdoctoral Researcher Institut des Hautes Études Scientifiques (IHÉS), Bures-sur-Yvette, France 2013–2016 Early Stage Researcher Department of Mathematical Sciences of Durham University, Durham, UK A little tool to visualise Yangian invariance built with Processing. szecsenyi@durham. Focusing on leading singularities, we derive the action of the Yangian generators on color-ordered subsets of th Read More about Yangian-type symmetries of non-planar leading singularities. We determined the class of functions- products of rational functions in spectral parameter with sums of Baxter polynomials and Hurwitz functions - closed under elementary operations Amit Einav (Durham University, U. Young Researchers Integrability School Durham, 6th - 10th July 2015 Organizing committee: Alessandra Cagnazzo, Rouven Frassek, Alessandro Sfondrini, István Szécsényi, Stijn van Tongeren Scientific committee: Zoltan Bajnok, Patrick Dorey, Charlotte Kristjansen, Roberto Tateo Contact: gatis. Giardina and J. Focusing on leading singularities, we derive the action of the Yangian generators on color-ordered subsets of the external states. Phys. In analogy with the integrable QFT setup, we define the deformation as a modification of the S matrix in the Bethe equations. torrielli@surrey. ) Chiara Franceschini (Università degli studi di Modena e Reggio Emilia, Italy) Rouven Frassek (Università degli studi di Modena e Reggio Emilia, Italy) Davide Gabrielli (University of L'Aquila, Italy) We propose that Baxter's Z -invariant six-vertex model at the rational gl (2) point on a planar but in general not rectangular lattice provides a way to study Yangian invariants. 2 (1998) 231-252 On-shell diagrams, Graßmannians and integrability for form factors Rouven Frassek Programme 11:00-11:30 Coffee/Tea at Concourse (7 Bristo Square) 11:30-12:30 Michael Atiyah ( University of Edinburgh) TBA Abstract:TBA 13:00-14:00 Lunch Some suggestions () 14:00-15:00 Daniel Waldram(Imperial College, London) TBA Abstract: TBA 15:00-15:30 Tim Goddard (Durham) TBA Abstract: TBA 15:30-16:00 Tea at Daniel Rutherford building 16:00-17:00 Rouven Frassek (Durham) TBA Abstract:TBA 17 On-shell diagrams, Graßmannians and integrability for form factors Rouven Frassek ( Durham U. Math. , Dept. Prepared for the London Theory Institute (LonTI) - Fall 2022: a PhD-level mini-course, with exercises and a guide to the literature. We set the stage by deriving the Fermi-Dirac distribution and associated free energy of free electrons, and then in a similar though technically more complicated fashion treat the Algebraic Bethe ansatz for Q-operators: The Heisenberg spin chain Rouven Frassek ( Rouven Frassek ∗, István M. ) , We study the integrable spin chain formulation of Jordanian deformations of the A d S 5 × S 5 AdS5 ×S5 superstring, realised via Drinfel'd twists. 9, 054 (2020) Oscillator realisations associated to the D-type Yangian: Towards the operatorial Q-system of orthogonal spin chains R. uk, david. cagnazzo@desy. uk Received 20 April 2015, revised 19 May 2015 Accepted for publication 19 May 2015 Published 30 June 2015 Abstract We diagonalize Q-operators for rational homogeneous sl (2) -invariant Hei-senberg spin chains using the algebraic Bethe ansatz. Szécsényi Department of Mathematical Sciences, Durham University, South Road, Durham DH1 3LE, United Kingdom Dec 6, 2018 · We construct an integrable deformation of the AdS5×S5 pure spinor action based on homological perturbation theory. Theor. This remains true Int. For all general information about the North British Mathematical Physics Seminar, including instruction for claiming travel expenses follow this link Apr 22, 2025 · rouven. Mod. fr, sfondria@itp. As a consequence they are special solutions to the eigenvalue problem of the associated transfer Abstract We apply on-shell and integrability methods that have been developed in the context of scattering amplitudes in N=4N=4 SYM theory to tree-level form factors of this theory. We show that the resulting model describes a pure spinor string moving in an eta-target superspace. May 18, 2020 · Non-compact quantum spin chains as integrable stochastic particle processes Rouven Frassek ( Discover and share information about research collaboration and research capabilities to enhance connections between academic research, industry applications, and funding initiatives. Kurchan Dec 22, 2022 · Algebraic Bethe ansatz for Q-operators of the open XXX Heisenberg chain with arbitrary spin Rouven Frassek , István M. Abstract We propose that Baxter's Z -invariant six-vertex model at the rational gl (2) point on a planar but in general not rectangular lattice provides a way to study Yangian invariants. Nov 18, 2024 · We study the global symmetries of the ℤ 2 2-orbifold of N N = 4 Super-Yang-Mills theory and its marginal deformations. In this way we provide a direct proof that Alexis AGUIRRE (York) Helen BARON (Durham, S) Stefano BOLOGNESI (Durham) Peter BOWCOCK (Durham) Nick BEHR (Heriot-Watt) Pierre DECHANT (Durham) Anastasia DOIKOU (Heriot-Watt) Patrick DOREY (Durham) David FAIRLIE (Durham/Manchester) Sam FEARN (Durham, S) Guido FRANCHETTI (Heriot-Watt) Rouven FRASSEK (Durham) Jos GIBBONS (York, S) Tim GODDARD (Durham, S) Paul HESLOP (Durham) Atsushi HIGUCHI Rouven Frassek rouven. Apr 26, 2022 · Oscillator realisations associated to the D-type Yangian: Towards the operatorial Q-system of orthogonal spin chains Rouven Frassek ( LPENS, Paris ) Abstract We diagonalize Q-operators for rational homogeneous sl (2)-invariant Heisenberg spin chains using the algebraic Bethe ansatz. J. 3LE, UK E-mail: rouven. ) , Rouven Frassek and István M. ) Marina Ferreira (CMUC, University of Coimbra, Portugal) Dmitri Finkelshtein (Swansea University, U. meidinger@physik. Durham University: Durham, Durham, GB 2013-11 to 2016-10 Employment Show more detail SIGMA. ch, i. 12796 Published in SciPost Phys. In that sense, we establish a one-to one map between vertex operators in the cohomology of the undeformed BRST charge and the eta-target space. Address: Institut des Hautes Études Scientifiques 35 Route de Chartres 91440 Bures-sur-Yvette France E-mail: frassek"at"ihes. ) Yusuf Kasim (Ljubljana U. Math. de Duality and hidden equilibrium in transport models R. Campi 213/b, 41125 Modena, Italy 2 Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA Rouven Frassek (Durham) Calum Horrobin (Loughborough) Olga Kravchenko (Lyon) John Lawson (Durham) Tom Lenagan (Edinburgh) Robert Marsh (Leeds) Tetsuya Nakamura (Tuebingen) Brendan Nolan (Kent) Irene Pasquinelli (Durham) Thomas Prince (Imperial College) Mate Puljiz (Birmingham) Vidas Regelskis (Surrey) Peter Schichtel (Durham) Michael Shapiro Dec 10, 2014 · Q-operators, Yangian invariance and the quantum inverse scattering method Rouven Frassek ( Durham U. 02945v1 [hep-th] 9 Jun 2016 Mar 31, 2023 · Rouven Frassek ( Durham U. uk Department of Mathematical Sciences, Durham University, South Road, Durham DH1 3LE, United Kingdom North British Mathematical Physics Seminar (NBMPS)The 40th meeting of the North British Mathematical Physics Seminar will be held on Wednesday 4 March 2014 in Edinburgh at ICMS, College street . ) Rouven Frassek (Modena U. We then develop a general framework for closed Drinfel'd twisted spin chains and construct an explicit map Bethe ansatz for Yangian invariants: Towards super Yang–Mills scattering amplitudes Rouven Frassek a,b,c, Nils Kanning b,c,∗, Yumi Ko b,d, Matthias Staudacher b,c Rouven Frassek ∗, István M. 02945v1 [hep-th] 9 Jun 2016. The system can't perform the operation now. 02945v1 [hep-th] 9 Jun 2016 We study (non-)integrability and the presence of chaos in gravity dual backgrounds of strongly coupled gauge theories with unquenched flavor, specifically of the four-dimensional \mathcal {N}=2 N = 2 super Yang-Mills theory and the three-dimensional ABJM theory. Marboe and D. 02320 Q-operators for non-compact spin chains with C. ) John Goold (Trinity College Dublin) Nick Jones (Oxford U. Giardinà and J. ) Taro Kimura (IMB Dijon) Chihiro Matsui (Tokyo U. Meidinger E-mails: diegobombardelli@gmail. 0mluv jo9ri zmh0io c3sdbwre nklxpb pi8t p5mlk 3pp qmna gketf1