Classical Integrability of the Squashed Three-sphere, Warped AdS3 and Schroedinger Spacetime via T-Duality
High Energy Physics - Theory
2011-03-18 v2
Abstract
We discuss the integrability of 2d non-linear sigma models with target space being the squashed three-sphere, warped anti-de Sitter space and the Schroedinger spacetime. These models can be obtained via T-duality from integrable models. We construct an infinite family of non-local conserved charges from the T-dual Lax currents, enhancing the symmetry of warped anti-de Sitter space and the Schroedinger spacetime to sl2(R)+sl2(R).
Keywords
Cite
@article{arxiv.1011.1771,
title = {Classical Integrability of the Squashed Three-sphere, Warped AdS3 and Schroedinger Spacetime via T-Duality},
author = {Domenico Orlando and Susanne Reffert and Linda I. Uruchurtu},
journal= {arXiv preprint arXiv:1011.1771},
year = {2011}
}
Comments
29 Pages, 3 appendices. Minor changes: added references, footnote