Anisotropic Landau-Lifshitz sigma models from q-deformed AdS_5 x S^5 superstrings
Abstract
We consider bosonic subsectors of the q-deformed AdS_5 x S^5 superstring action and study the classical integrable structure of anisotropic Landau-Lifshitz sigma models (LLSMs) derived by taking fast-moving limits. The subsectors are 1) deformed AdS_3 x S^1 and 2) R x deformed S^3. The cases 1) and 2) lead to a time-like warped SL(2) LLSM and a squashed S^3 LLSM, respectively. For each of them, we construct an infinite number of non-local conserved charges and show a quantum affine algebra at the classical level. Furthermore, a pp-wave like limit is applied for the case 1). The resulting system is a null-like warped SL(2) LLSM and exhibits a couple of Yangians through non-local gauge transformations associated with Jordanian twists.
Keywords
Cite
@article{arxiv.1405.4467,
title = {Anisotropic Landau-Lifshitz sigma models from q-deformed AdS_5 x S^5 superstrings},
author = {Takashi Kameyama and Kentaroh Yoshida},
journal= {arXiv preprint arXiv:1405.4467},
year = {2015}
}
Comments
38 pages, 1 figure, typos corrected, minor comments and references added