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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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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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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Momentum conserving defects in affine Toda field theories
Type II integrable defects with more than one degree of freedom at the defect are investigated. A condition on the form of the Lagrangian for such defects is found which ensures the existence of a conserved momentum in the presence of the defect.
Rebecca Bristow, Peter Bowcock
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Equilibration properties of classical integrable field theories [PDF]
We study the equilibration properties of classical integrable field theories at a finite energy density, with a time evolution that starts from initial conditions far from equilibrium.
A. De Luca, G. Mussardo
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Biscalar Integrable Conformal Field Theories in Any Dimension. [PDF]
We propose a D-dimensional generalization of 4D biscalar conformal quantum field theory recently introduced by Gürdogan and one of the authors as a particular strong-twist limit of γ-deformed N=4 supersymmetric Yang-Mills theory.
V. Kazakov, Enrico Olivucci
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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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