Generalizes the BIZZ recursive procedure and provides sufficient conditions under which auxiliary field deformations of integrable sigma models retain classical Yangian symmetry and Maillet bracket structure.
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 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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Perturbations in string theory on a three-sphere spacetime cause big-bang/crunch singularities or unbounded expansion, which string theory may resolve.
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The classical Yangian symmetry of Auxiliary Field Sigma Models
Generalizes the BIZZ recursive procedure and provides sufficient conditions under which auxiliary field deformations of integrable sigma models retain classical Yangian symmetry and Maillet bracket structure.
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On Cosmological Singularities in String Theory
Perturbations in string theory on a three-sphere spacetime cause big-bang/crunch singularities or unbounded expansion, which string theory may resolve.