Large N of Chern-Simons Matrix Model and Conformal Field Theory
Explore the emergence of 1+1D conformal field theory from large N limit of 2+1D Chern-Simons matrix models, including Kac-Moody algebra and holographic duality.
The Ising Model and Its Quantum Interface Dynamics - A Centennial Perspective
Explore quantum Ising model's interface dynamics, examining domain evolution, quantum nucleation, and false-vacuum decay. Discover connections to mathematics and classical statistical physics.
Application of the Hidden Fermionic Structure to Integrable Quantum Field Theory
Explore hidden fermionic structures in integrable quantum field theory, applying concepts to condensed matter physics and enhancing understanding of complex systems.
Adiabatic Eigenstate Deformations and Weak Integrability Breaking of Heisenberg Chain
Explore adiabatic eigenstate deformations and weak integrability breaking in the Heisenberg chain, investigating quasiconserved charges and the adiabatic gauge potential's behavior in perturbed XXX chains.
From Liouville to Painlevé and Heun via CFT/Isomonodromy Relation
Explore conformal field theory through integrable, probabilistic, and supersymmetric perspectives, connecting Liouville theory to Painlevé and Heun equations.
Integrable Systems and Representation Theory: Between Geometry, Algebra and Analysis
Explore integrable systems in Hamiltonian mechanics, quantum systems, and statistical mechanics. Examine connections to representation theory and gauge theory quantization.
Extensions of Discrete Toda Lattices and their Applications - Lecture 3
Delve into advanced mathematical concepts of discrete Toda lattices, exploring integrable systems, difference equations, and their applications in theoretical physics and mathematics.
A Range Three Elliptic Deformation of the Hubbard Model
Explore a systematic method for constructing integrable Lindblad systems and discover a new range 3 integrable deformation of the Hubbard model in both Hermitian and Lindbladian formulations.
Moduli Spaces of Instantons and Integrable Systems - From Calogero-Moser to DELL Systems
Explore the intricate relationship between equivariant cohomology theories of instanton moduli spaces and integrable systems, focusing on Calogero-Moser, Ruijsennars-Schneider, and DELL systems.
Law of Fractional Logarithms for Extrema of Airy Processes
Delve into advanced mathematical concepts exploring fractional logarithms and their relationship to extrema of Airy processes through theoretical physics and integrable systems analysis.
Entanglement Transitions in Non-Hermitian Integrable Floquet Systems
Explore quantum entanglement transitions and their behavior in non-Hermitian integrable Floquet systems through advanced theoretical physics concepts and mathematical frameworks.
Total Positivity, Directed Networks and Integrable Cluster Dynamics - Lecture 1
Explore advanced mathematical concepts in discrete integrable systems, focusing on difference equations, cluster algebras, and their connections to theoretical physics and probability theory.
Extensions of Discrete Toda Lattices and their Application to Box-Ball Systems
Delve into discrete integrable systems, exploring Toda lattices, box-ball systems, and their mathematical applications through advanced theoretical physics and mathematical frameworks.
Colored Vertex Models, Orthogonal Functions and Probability - Lecture 1
Explore the intersection of colored vertex models, orthogonal functions, and probability theory through advanced mathematical concepts in discrete integrable systems and statistical physics.
Bond Percolation Games and Their Connections with Probabilistic Cellular Automata
Explore the fascinating intersection of bond percolation games and probabilistic cellular automata, examining their mathematical relationships and theoretical applications in discrete systems.
Extensions of Discrete Toda Lattices and their Applications - Lecture 2
Delve into advanced mathematical concepts of discrete Toda lattices, exploring integrable systems, difference equations, and their applications in theoretical physics and mathematics.
Total Positivity, Directed Networks and Integrable Cluster Dynamics - Lecture 3
Delve into advanced mathematical concepts of total positivity, directed networks, and integrable cluster dynamics through rigorous theoretical exploration and problem-solving approaches.
Last Passage Percolation in a Strip - Integrable Probability and Growth Models
Explore the mathematical theory of Last Passage Percolation in a strip, examining integrable systems, discrete models, and their applications to statistical physics and probability theory.
New Signed Bijections Pertaining to Alternating Sign Matrices and Gelfand-Tsetlin Patterns
Delve into discrete integrable systems through exploration of difference equations, cluster algebras, and probabilistic models, focusing on mathematical physics and combinatorial structures.
Phase Transitions in a System of Long Hard Rods on a Lattice
Explore phase transitions and behavior of long hard rods on lattice systems through rigorous mathematical analysis and integrable system theory in theoretical physics.
Ruijsenaars and Toda Integrable Systems
Explore advanced mathematical concepts in discrete integrable systems, focusing on difference equations, cluster algebras, and their applications in theoretical physics and probability theory.