Hidden Yangian symmetry in sigma model on squashed sphere

Details Hidden Yangian symmetry in sigma model on squashed sphere Hidden Yangian symmetry in sigma model on squashed sphere

2010-08-04

arxiv.org/abs/1008.0776v2

JHEP 1011:032,2010

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 1 figure, typos corrected, references added

Scientific paper

10.1007/JHEP11(2010)032

We discuss a hidden symmetry of a two-dimensional sigma model on a squashed S^3. The SU(2) current can be improved so that it can be regarded as a flat connection. Then we can obtain an infinite number of conserved non-local charges and show the Yangian algebra by directly checking the Serre relation. This symmetry is also deduced from the coset structure of the squashed sphere. The same argument is applicable to the warped AdS_3 spaces via double Wick rotations.

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