Journal ArticleDOI
An explicit approach to the group structure of hidden symmetry
Ge Mo-lin,Wu Yong-shi +1 more
TLDR
In this article, a closed expression for the commutators of chiral models was obtained, which summarizes the same set of commutation relations as recently uncovered for the hidden symmetry with a different set of off-shell transformations.Citations
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O(2, 2) transformations and the string Geroch group
TL;DR: In this article, the 1-loop string background equations with axion and dilaton fields are shown to be integrable in four dimensions in the presence of two commuting Killing symmetries and δc = 0.
Journal ArticleDOI
The group theoretical aspects of infinitesimal Riemann-Hilbert transform and hidden symmetry
Yong Shi Wu,Yong Shi Wu +1 more
TL;DR: In this paper, the group theoretical aspects of infinitesimal regular Riemann-Hilbert transforms are discussed with an eye to the comparison with the hidden symmetry transformations proposed by us before.
Journal ArticleDOI
A simplified derivation of the Geroch group in two‐dimensional reduced gravity
Yong‐Shi Wu,Mo‐Lin Ge +1 more
TL;DR: In this article, a simple and explicit approach to the Geroch group for the vacuum Einstein equations with the metric tensor depending only on two variables (i.e., two-dimensional reduced gravity) is proposed.
Book ChapterDOI
Chiral fields, self-dual Yang-Mills fields as integrable systems, and the role of the Kae-Moody algebra
Journal ArticleDOI
Infinite dimensional lie algebras acting on the solution space of various sigma models
Michel Jacques,Yvan Saint-Aubin +1 more
TL;DR: In this article, an infinite-dimensional Lie algebras of infinitesimal transformations acting on the solution space of various two-dimensional σ models are investigated. But the main tools are (i) Takasaki's interpretation [Commun. Math. Rev. Lett. 94, 35 (1984)] of the associated linear system in terms of points in an infinitedimensional Grassmann manifold and (ii) Mikhailov's reduction procedure [Physica D 3, 73 (1981)] for linear systems.
References
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Journal ArticleDOI
Gauge fields as rings of glue
TL;DR: In this article, the authors take the view that gauge fields can be considered as chiral fields on a loop space, both in classical and in quantum theories, and derive the equations of motion governing the propagation of the infinitely thin rings formed by the lines of color-electric flux.
Journal ArticleDOI
Scattering of massless lumps and non-local charges in the two-dimensional classical non-linear σ-model
M. Lüscher,K. Pohlmeyer +1 more
TL;DR: In this article, it was shown that finite energy solutions of the field equations of the non-linear σ-model decay asymptotically into massless lumps.
Journal ArticleDOI
String Representations and Hidden Symmetries for Gauge Fields
TL;DR: In this article, it was shown that gauge fields can be considered as chiral fields defined on the space of all possible contours, which leads to an infinite number of functionally conserved currents.
Journal ArticleDOI
Remarks about the existence of non-local charges in two-dimensional models
TL;DR: In this paper, a simple derivation of the classical non-local conservation laws in two dimensions discovered by Luscher and Pohlmeyer is given. And several classes of models are shown to possess the same structure.
Related Papers (5)
Noether analysis for the hidden symmetry responsible for an infinite set of nonlocal currents
Hou Bo-yu,Ge Mo-lin,Wu Yong-shi +2 more