Integrability in Condensed Matter Physics and Quantum Field Theory

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Explore advanced mathematical physics through this comprehensive conference covering integrability theory in condensed matter physics and quantum field theory. Delve into cutting-edge research presentations from leading experts across multiple institutions, examining topics ranging from spin chain deformations and Bethe ansatz methods to conformal field theory and quantum many-body systems. Learn about perturbative expansions in integrable models, reflection relations, hidden fermionic structures, and quantum deformed systems through detailed lectures on the Haldane-Shastry model, Gaudin integrability, and conformal bootstrap methods. Investigate supersymmetric correlations, Painlevé equations, 't Hooft loops, and snake modules while exploring extended T-systems and correlation functions for higher rank systems. Discover orthogonal ring patterns, discrete surfaces, constant mean curvature embeddings, and topological gauging in quantum field theories. Examine Tracy-Widom distributions in supersymmetric gauge theories, ODE/IM correspondence, quantum local charges in chiral affine Gaudin models, and Ising-type formulations of vertex models. Study geometrical web models, algebraic Bethe ansatz for open spin chains, factorization of density matrices for critical RSOS models, and generalized Fishnet CFTs. Analyze double scaling limits, light-cone leading-logs, fusion products for Temperley-Lieb algebras, thermal form factor series, and nonthermal electronic orders in photo-doped Mott systems. Conclude with analytical solutions of Dirac-Bogoliubov-de Gennes equations, recoupling coefficients, quantum entropies, Selberg-Dyson integrals, quantum geometry aspects, non-linear integral equations with singular kernels, and separation of variables techniques connecting spin chains to conformal field theory.

Syllabus

Constructing perturbative long-range deformations of spin chains, A. Retore (Durham University)
Integrable sigma models at RG fixed points: quantisation as affine Gaudin models, J. Teschner (DESY)
Bethe ansatz inside Calogero - - Sutherland models, J. Lamers (IPhT, Saclay)
Perturbative expansion of energy densities in integrable models: the full analytic trans-series,
Reflection relations and singular vectors, F. Smirnov (Université Pierre et Marie Curie)
Application of the hidden fermionic structure to the integrable QFT, B. Hermann
The quantum deformed Haldane Shastry model at q=i, D. Serban (IPhT, Paris)
Gaudin Integrability of Conformal Blocks, V. Schomerus (DESY)
Conformal Bootstrap from Gaudin Integrability, J. Mann (King's College London)
Supersymmetric XYZ correlations and Painlevé VI, H. Rosengren (Chalmers University)
’t Hooft loops and integrability, K. Zarembo (NORDITA)
Snake Modules, Extended T Systems and Correlation Functions for higher rank, H. Juergens
Systems with a Hilbert space fragmentation, A. Hutsalyuk (ELTE)
Orthogonal ring patterns and discrete surfaces, A. Bobenko (TU Berlin)
Constant mean curvature embeddings and the Fateev model IQFT, G. Kotoousov
Topological gauging and non-relevant deformations of Quantum Field Theories, S. Negro (NYU)
Tracy-Widom distribution in supersymmetric gauge theories, G. Korchemsky (IPhT, Saclay)
Towards a mathematical theory of the ODE/IM correspondence, D. Masoero (University of Lisbon)
Quantum local charges in chiral affine Gaudin models, S. Lacroix (ETH Zurich)
An Ising-type formulation of the six-vertex model, V. Bazhanov (ANU)
Geometrical web models, J. Jacobsen (ENS Paris)
Agebc Bethe ansatz for the open XXZ spin chain with non-diagonal boundary terms via Uqsl2 symmetry
Factorization of density matrices for the critical RSOS models, H. Frahm
On the influence of boundary conditions on the critical behaviour of the staggered six-vertex model
Generalized Fishnet CFTs, V. Kazakov (ENS Paris)
Double scaling limits of rectangular fishnets, I. Kostov (IPhT, Saclay)
The light-cone leading-logs of higher-point correlators via Stampedes, E. Olivucci
Fusion products and finite-dimensional quotients for periodic Temperley-Lieb algebras
Thermal form factor series for dynamical two-point fcts of local operators in itgble quantum chains
Nonthermal electronic orders in photo-doped Mott systems, P. Werner (University of Fribourg)
Analytical solutions of Dirac-Bogoliubov-de Gennes eqt for inhomogeneous quantum many-body systems
Recoupling coefficients and quantum entropies, M. Christandl (University of Copenhagen)
Selberg-Dyson integral and aspects of quantum geometry, P. Wiegmann (University of Chicago)
How to deal with non-linear integral equations with singular kernels, A.Kluemper
Separation of variables and correlation functions from spin chains to CFT, F. Levkovich-Maslyuk