Integrable coupled massive Thirring model with field values in a Grassmann algebra
A coupled massive Thirring model of two interacting Dirac spinors in 1 + 1 dimensions with fields taking values in a Grassmann algebra is introduced, which is closely related to a SU(1) version of the Grassmannian Thirring model also introduced in this ...
B. Basu-Mallick+3 more
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Utilizing some conservation laws of (1+1)-dimensional integrable local evolution systems, it is conjectured that higher dimensional integrable equations may be regularly constructed by a deformation algorithm.
S. Y. Lou, Xia-zhi Hao, Man Jia
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Conserved currents and T$$ \overline{\mathrm{T}} $$s irrelevant deformations of 2D integrable field theories [PDF]
The T $$ \overline{\mathrm{T}} $$ T ¯ deformation of 2-dimensional QFTs is closely-related to Jackiw- Teitelboim gravity. It has been shown that, at the classical level, this perturbation induces an interaction between the stress-energy ...
R. Conti, S. Negro, R. Tateo
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U(1) symmetry resolved entanglement in free 1+1 dimensional field theories via form factor bootstrap [PDF]
We generalise the form factor bootstrap approach to integrable field theories with U(1) symmetry to derive matrix elements of composite branch-point twist fields associated with symmetry resolved entanglement entropies. The bootstrap equations are solved
D. Horváth, Luca Capizzi, P. Calabrese
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On Integrable Field Theories as Dihedral Affine Gaudin Models [PDF]
We introduce the notion of a classical dihedral affine Gaudin model, associated with an untwisted affine Kac–Moody algebra $\widetilde{\mathfrak{g}}$ equipped with an action of the dihedral group $D_{2T}$, $T \geq 1$ through (anti-)linear automorphisms.
B. Vicedo
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Integrable Quantum Field Theories with Unstable Particles [PDF]
5 pages, LaTeX, JHEP.cls. Talk given at the TMR conference "Nonperturbative Quantum Effects 2000"
J. Luis Miramontes
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5d 2-Chern-Simons Theory and 3d Integrable Field Theories [PDF]
The 4-dimensional semi-holomorphic Chern-Simons theory of Costello and Yamazaki provides a gauge-theoretic origin for the Lax connection of 2-dimensional integrable field theories. The purpose of this paper is to extend this framework to the setting of 3-
Alexander Schenkel, Benoit Vicedo
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The non-chiral intermediate Heisenberg ferromagnet equation
We present and solve a soliton equation which we call the non-chiral intermediate Heisenberg ferromagnet (ncIHF) equation. This equation, which depends on a parameter δ > 0, describes the time evolution of two coupled spin densities propagating on the ...
Bjorn K. Berntson+2 more
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Integrability of generalised type II defects in affine Toda field theory
The Liouville integrability of the generalised type II defects is investigated. Full integrability is not considered, only the existence of an infinite number of conserved quantities associated with a system containing a defect.
Rebecca Bristow
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Classical and Quantum Integrable Sigma Models. Ricci Flow, “Nice Duality” and Perturbed Rational Conformal Field Theories [PDF]
We consider classical and quantum integrable sigma models and their relations with the solutions of renormalization group equations. We say that an integrable sigma model possesses the “nice” duality property if the dual quantum field theory has the weak
V. Fateev
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