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Hidden Yangian symmetry in sigma model on squashed sphere

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Abstract

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 relations. This symmetry is also deduced from the coset structure of the squashed sphere. The same argument is applicable to the warped AdS3 spaces by the double Wick rotations.

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Authors and Affiliations

  1. Department of Physics, Kyoto University, Kyoto, 606-8502, Japan

    Io Kawaguchi & Kentaroh Yoshida

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  1. Io Kawaguchi
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  2. Kentaroh Yoshida
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Correspondence to Io Kawaguchi.

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ArXiv ePrint: 1008.0776

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Kawaguchi, I., Yoshida, K. Hidden Yangian symmetry in sigma model on squashed sphere. J. High Energ. Phys. 2010, 32 (2010). https://doi.org/10.1007/JHEP11(2010)032

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