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arxiv: 1104.0738 · v2 · pith:TZ47TJH5new · submitted 2011-04-05 · ✦ hep-th · math-ph· math.MP

Yangian symmetry in deformed WZNW models on squashed spheres

classification ✦ hep-th math-phmath.MP
keywords squashedyangianappropriateboundarychargeschoiceconservedconstruct
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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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Cited by 2 Pith papers

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    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.

  2. On Cosmological Singularities in String Theory

    hep-th 2026-01 unverdicted novelty 5.0

    Perturbations in string theory on a three-sphere spacetime cause big-bang/crunch singularities or unbounded expansion, which string theory may resolve.