On the developments of Sklyanin's quantum separation of variables for integrable quantum field theories [PDF]
, 2013 We present a microscopic approach in the framework of Sklyanin's quantum separation of variables (SOV) for the exact solution of 1+1-dimensional quantum field theories by integrable lattice regularizations.
G. Niccoli
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Integrable lattice models from four-dimensional field theories [PDF]
, 2013 This note gives a general construction of an integrable lattice model (and a solution of the Yang-Baxter equation with spectral parameter) from a four-dimensional field theory which is a mixture of topological and holomorphic.
K. Costello
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Deformations of Fermionic Quantum Field Theories and Integrable Models [PDF]
, 2012 Considering the model of a scalar massive Fermion, it is shown that by means of deformation techniques it is possible to obtain all integrable quantum field theoretic models on two-dimensional Minkowski space which have factorizing S-matrices ...
Sabina Alazzawi
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Crosscap States in Integrable Field Theories and Spin Chains [PDF]
Journal of statistical physics, 2021 We study crosscap states in integrable field theories and spin chains in 1+1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \
J. Caetano, S. Komatsu
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Four-dimensional Chern–Simons theory and integrable field theories [PDF]
Journal of Physics A: Mathematical and Theoretical, 2021 These lecture notes concern the semi-holomorphic 4D Chern–Simons theory and its applications to classical integrable field theories in 2D and in particular integrable sigma-models.
S. Lacroix
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Lax Connections in $T\bar{T}$-deformed Integrable Field Theories [PDF]
, 2021 In this work, we try to construct the Lax connections of T T̄ -deformed integrable field theories in two different ways. With reasonable assumptions, we make ansatz and find the Lax pairs in the T T̄ -deformed affine Toda theories and the principal ...
Bin Chen, Jue Hou, Jiahua Tian
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Completing the bootstrap program for TT― -deformed massive integrable quantum field theories [PDF]
Journal of Physics A: Mathematical and Theoretical, 2023 In recent years a considerable amount of attention has been devoted to the investigation of 2D quantum field theories perturbed by certain types of irrelevant operators.
O. Castro-Alvaredo +2 more
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Symmetry resolved entanglement in integrable field theories via form factor bootstrap [PDF]
Journal of High Energy Physics, 2020 We consider the form factor bootstrap approach of integrable field theories to derive matrix elements of composite branch-point twist fields associated with symmetry resolved entanglement entropies.
D. Horv'ath, P. Calabrese
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Integrable field theories with an interacting massless sector [PDF]
, 2020 We present the first known integrable relativistic field theories with interacting massive and massless sectors. And we demonstrate that knowledge of the massless sector is essential for understanding of the spectrum of the massive sector.
Michael C. Abbott, Inês Aniceto
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T T ¯ $$ T\overline{T} $$ -deformation and long range spin chains
Journal of High Energy Physics, 2020 We point out that two classes of deformations of integrable models, developed completely independently, have deep connections and share the same algebraic origin. One class includes the T T ¯ $$ T\overline{T} $$ -deformation of 1+1 dimensional integrable
Balázs Pozsgay +2 more
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