☆ 4.6 Article

Deformed integrable models from holomorphic Chern-Simons theory

SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY (2022)

相关参考文献

注意：仅列出部分参考文献，下载原文获取全部文献信息。

Article Physics, Mathematical

Homotopical Analysis of 4d Chern-Simons Theory and Integrable Field Theories

Marco Benini et al.

Summary: This paper provides a detailed study of the behavior of 4-dimensional Chern-Simons theory under certain conditions and investigates its properties under finite gauge transformations using techniques from homotopy theory. By analyzing the boundary conditions and the groupoid of fields satisfying these conditions, the existence of edge modes is revealed, and the derivation of integrable field theories from 4-dimensional Chern-Simons theory is clarified.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2022)

添加到收藏夹

Article Physics, Particles & Fields

λ-Deformed Ad S5 x S5 superstring from 4D Chern-Simons theory

Jia Tian et al.

Summary: This paper presents the construction of the lambda-deformation of AdS(5) x S-5 superstring from the four dimensional Chern-Simons-type gauge theory, which can be applied to all semi-symmetric coset models and extends the previous construction of lambda-deformation of the symmetric coset models.

NUCLEAR PHYSICS B (2021)

添加到收藏夹

Article Physics, Particles & Fields

Faddeev-Reshetikhin model from a 4D Chern-Simons theory

Osamu Fukushima et al.

Summary: The Faddeev-Reshetikhin (FR) model was derived from a four-dimensional Chern-Simons theory with two ordered surface defects, following previous work by Costello and Yamazaki [arXiv:1908.02289]. Additionally, a trigonometric deformation of the FR model was presented by utilizing a boundary condition with an R-operator of Drinfeld-Jimbo type, extending previous work by Delduc, Lacroix, Magro, and Vicedo [arXiv:1909.13824].

JOURNAL OF HIGH ENERGY PHYSICS (2021)

添加到收藏夹

Article Physics, Mathematical

On the Zakharov-Mikhailov action: 4d Chern-Simons origin and covariant Poisson algebra of the Lax connection

Vincent Caudrelier et al.

Summary: The article presents a method for deriving the 2d Zakharov-Mikhailov action from 4d Chern-Simons theory, and for the first time determines the covariant Poisson bracket r-matrix structure of the Zakharov-Shabat Lax connection. The flatness condition is then derived as a covariant Hamilton equation, with a remarkable formula for the covariant Hamiltonian in terms of the Lax connection.

LETTERS IN MATHEMATICAL PHYSICS (2021)

添加到收藏夹

Article Physics, Particles & Fields

Twistor Actions for Integrable Systems

Robert F. Penna

Summary: This paper studies the Chern-Simons action on twistor space to derive Lagrangians for integrable sigma models, focusing on examples from dimensionally reduced gravity and supergravity. The dimensional reduction of general relativity to two spacetime dimensions results in an integrable coset sigma model coupled to a dilaton and 2d gravity, while the reduction of supergravity leads to a model coupled to matter fermions, a dilaton, and 2d supergravity. Lax operators and Lagrangians for these 2d integrable systems are derived using the Chern-Simons theory on twistor space, with an extended setup involving coupling with a pair of matter fermions in the supergravity example.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

添加到收藏夹

Article Mathematics

On Integrable Field Theories as Dihedral Affine Gaudin Models

Benoit Vicedo

INTERNATIONAL MATHEMATICS RESEARCH NOTICES (2020)

添加到收藏夹

Article Physics, Mathematical

A unifying 2D action for integrable σ-models from 4D Chern-Simons theory

Francois Delduc et al.

LETTERS IN MATHEMATICAL PHYSICS (2020)

添加到收藏夹

Article Physics, Particles & Fields

Integrable deformations of coupled σ-models

Cristian Bassi et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

添加到收藏夹

Editorial Material Physics, Particles & Fields

Comments on η-deformed principal chiral model from 4D Chern-Simons theory

Osamu Fukushima et al.

NUCLEAR PHYSICS B (2020)

添加到收藏夹

Article Physics, Multidisciplinary

Chern-Simons Origin of Superstring Integrability

Kevin Costello et al.

PHYSICAL REVIEW LETTERS (2020)

添加到收藏夹

Article Physics, Particles & Fields

Yang-Baxter deformations of the AdS5xS5 supercoset sigma model from 4D Chern-Simons theory

Osamu Fukushima et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

添加到收藏夹

Article Physics, Particles & Fields

Integrable lattice models from gauge theory

Edward Witten

ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS (2017)

添加到收藏夹

Article Physics, Particles & Fields

Integrable double deformation of the principal chiral model

F. Delduc et al.

NUCLEAR PHYSICS B (2015)

添加到收藏夹

Article Physics, Particles & Fields

Generalised integrable λ- and η-deformations and their relation

Konstantinos Sfetsos et al.

NUCLEAR PHYSICS B (2015)

添加到收藏夹

Article Physics, Particles & Fields

Integrable interpolations: From exact CFTs to non-Abelian T-duals

Konstadinos Sfetsos

NUCLEAR PHYSICS B (2014)

添加到收藏夹

Article Physics, Particles & Fields

On the classical equivalence of monodromy matrices in squashed sigma model

Io Kawaguchi et al.

JOURNAL OF HIGH ENERGY PHYSICS (2012)

添加到收藏夹

Article Physics, Particles & Fields

The classical origin of quantum affine algebra in squashed sigma models

Io Kawaguchi et al.

JOURNAL OF HIGH ENERGY PHYSICS (2012)

添加到收藏夹

Article Physics, Mathematical

On integrability of the Yang-Baxter σ-model

Ctirad Klimcik

JOURNAL OF MATHEMATICAL PHYSICS (2009)

添加到收藏夹

© Peeref 2019-2024. All rights reserved.