Schrodinger Sigma Models and Jordanian Twists
High Energy Physics - Theory
2015-06-16 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We proceed to study the integrable structures of two-dimensional non-linear sigma models defined on three-dimensional Schrodinger spacetimes. We show that anisotropic Lax pairs are equivalent with isotropic Lax pairs with flat conserved currents under non-local gauge transformations. Then a quite non-trivial realization of the undeformed Yangian symmetry Y(sl(2)) is revealed after an appropriate gauge fixing, which is determined by comparing the gauge transformation to a quantum Jordanian twist. As a result, an exotic symmetry found in arXiv:1209.4147 may be interpreted as a Jordanian deformation of Y(sl(2)).
Keywords
Cite
@article{arxiv.1305.6556,
title = {Schrodinger Sigma Models and Jordanian Twists},
author = {Io Kawaguchi and Takuya Matsumoto and Kentaroh Yoshida},
journal= {arXiv preprint arXiv:1305.6556},
year = {2015}
}
Comments
40 pages, 2 figures, LaTeX, typos corrected, references added, further clarification