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Non-local charges, Zm gradings and coset space actions

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arxiv hep-th/0503008 v2 pith:6GPZ5F6X submitted 2005-03-01 hep-th

classification hep-th
keywords actionschargescosetcurrentsnon-localalgebraschoiceconserved
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The construction of flat currents, and hence conserved non-local charges, for the superstring on AdS_5 x S^5 is generalised. It is shown that such currents exist for sigma-model type actions on all coset (super-)spaces G/H in which, at the level of the Lie algebras, h is the grade-zero subspace of a Zm grading of g. This is true for an essentially unique choice of the Wess-Zumino term, which is determined.

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  1. Integrable deformations of dimensionally reduced gravity

    hep-th 2025-02 conditional novelty 6.0 of 10

    Auxiliary field and Yang-Baxter deformations of D=2 dimensionally reduced gravity are shown to admit flat Lax representations, with the auxiliary field case preserving the Hamiltonian integrability structure.

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