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Brackets, forms and invariant functionals

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arxiv math/0508618 v1 pith:ZMVTP5LX submitted 2005-08-30 math.DG hep-th

Brackets, forms and invariant functionals

classification math.DG hep-th
keywords bracketcourantgeometryinvariantinvestigatearisingassociatedbrackets
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In the context of generalized geometry we first show how the Courant bracket helps to define connections with skew torsion and then investigate a five-dimensional invariant functional and its associated geometry. A Hamiltonian flow arising from this corresponds to a version of the Nahm equations using the Courant bracket, and we investigate the six-dimensional geometrical structure this describes.

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Cited by 2 Pith papers

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  1. On Quantum Aspects of 1-Form Symmetries I: BV-BRST Cohomology and Anomaly Polynomials

    hep-th 2026-06 unverdicted novelty 6.0

    Develops Čech-de Rham bicomplex from gerbe data for BV-BRST cohomology of U(1) 2-form gauge theories and anomaly polynomials of 1-form symmetries.

  2. On Quantum Aspects of 1-Form Symmetries I: BV-BRST Cohomology and Anomaly Polynomials

    hep-th 2026-06 unverdicted novelty 5.0

    Constructs Čech-de Rham bicomplex from gerbe data for BV-BRST complex and anomaly descent of U(1) 1-form symmetries in Maxwell theory.