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.
Yangian symmetry in deformed WZNW models on squashed spheres
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abstract
We introduce a deformation of the Wess-Zumino-Novikov-Witten model with three-dimensional squashed sphere target space. We show how with an appropriate choice of Wess--Zumino and boundary terms it is possible to construct an infinite family of conserved charges realizing an SU(2) Yangian. Finally we discuss the running of the squashing parameter under renormalization group flow.
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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.