New Virasoro and Kac-Moody symmetries for the non-linear σ-model
- 1 October 1987
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 20 (14) , L897-L904
- https://doi.org/10.1088/0305-4470/20/14/001
Abstract
The authors give new linearisation equations for the O(3) new-linear σ-model which are similar to those obtained in the stationary axially symmetric Einstein field equations. By using the linearisation equations, they confirm the existence of the infinite-dimensional symmetries, which are dependent on a spectrum parameter, in the O(3) non-linear σ-model. The relationships between the hidden transformations and the infinitesimal Riemann-Hilbert transformation are discussed.Keywords
This publication has 26 references indexed in Scilit:
- The group theoretical aspects of infinitesimal Riemann-Hilbert transform and hidden symmetryCommunications in Mathematical Physics, 1983
- A simplified derivation of the Geroch group in two-dimensional reduced gravityJournal of Mathematical Physics, 1983
- The hidden symmetry of chiral fields and the Riemann-Hilbert problemPhysics Letters B, 1982
- An explicit approach to the group structure of hidden symmetryPhysics Letters B, 1982
- A generating function for hidden symmetries of chiral modelsNuclear Physics B, 1982
- Kac-Moody Algebra is Hidden Symmetry of Chiral ModelsPhysical Review Letters, 1981
- Noether analysis for the hidden symmetry responsible for an infinite set of nonlocal currentsPhysical Review D, 1981
- A homogeneous Hilbert problem for the Kinnersley–Chitre transformations of electrovac space-timesJournal of Mathematical Physics, 1980
- A homogeneous Hilbert problem for the Kinnersley–Chitre transformationsJournal of Mathematical Physics, 1980
- Symmetries of the stationary Einstein–Maxwell field equations. IIIJournal of Mathematical Physics, 1978