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arXiv · 1011.1771

Classical Integrability of the Squashed Three-sphere, Warped AdS3 and Schroedinger Spacetime via T-Duality

Domenico Orlando·Susanne Reffert·Linda I. Uruchurtu
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Abstract

We discuss the integrability of 2d non-linear sigma models with target space being the squashed three-sphere, warped anti-de Sitter space and the Schroedinger spacetime. These models can be obtained via T-duality from integrable models. We construct an infinite family of non-local conserved charges from the T-dual Lax currents, enhancing the symmetry of warped anti-de Sitter space and the Schroedinger spacetime to sl2(R)+sl2(R).

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Domenico Orlando, Susanne Reffert, Linda I. Uruchurtu. 2010-11-14. Classical Integrability of the Squashed Three-sphere, Warped AdS3 and Schroedinger Spacetime via T-Duality. https://doi.org/10.1088/1751-8113/44/11/115401

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