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WZW-Poisson manifolds

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arxiv math/0104189 v2 pith:K54IVWOW submitted 2001-04-19 math.SG hep-thmath-phmath.MP

classification math.SGhep-thmath-phmath.MP
keywords closedpoissonwzw-poissonaddedalgebrabivectorcharacterizedclass
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We observe that a term of the WZW-type can be added to the Lagrangian of the Poisson Sigma model in such a way that the algebra of the first class constraints remains closed. This leads to a natural generalization of the concept of Poisson geometry. The resulting "WZW-Poisson" manifold M is characterized by a bivector Pi and by a closed three-form H such that [Pi,Pi]_Schouten = < H, Pi^3 >.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Gauged Courant sigma models

    hep-th 2026-01 unverdicted novelty 6.0 of 10

    Gauged Courant sigma models extend Courant sigma models by adding gauge symmetries from Lie algebroids and Courant algebroids, with consistency ensured by flatness conditions on target-space curvatures and torsions.

  2. Hamilton Lie algebroids over Dirac structures and sigma models

    math.DG 2023-09 unverdicted novelty 6.0 of 10

    Introduces Hamiltonian Lie algebroids over Dirac structures as a generalization and applies them to construct gauged Poisson and Dirac sigma models.

  3. M. Kontsevich's graph complexes and universal structures on graded symplectic manifolds

    math.QA 2019-08 conditional novelty 6.0 of 10

    For every d at least 2, the full Kontsevich graph complex maps injectively into the Chevalley-Eilenberg complex of the n=d-1 Schouten algebra, so its zeroth cohomology acts via L-infinity automorphisms on graded sympl...

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