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arXiv · 1305.6556

Schrodinger Sigma Models and Jordanian Twists

Io Kawaguchi·Takuya Matsumoto·Kentaroh Yoshida
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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)).

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Io Kawaguchi, Takuya Matsumoto, Kentaroh Yoshida. 2013-06-06. Schrodinger Sigma Models and Jordanian Twists. https://doi.org/10.1007/jhep08(2013)013

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