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BLG-motivated Lagrangian formulation for the chiral two-form gauge field in D=6 and M5-branes

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arxiv 0907.4596 v2 pith:SWAHPARO submitted 2009-07-27 hep-th

classification hep-th
keywords fieldgaugemodelnon-lineararxivchiralformulationlagrangian
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We reveal non-manifest gauge and SO(1,5) Lorentz symmetries in the Lagrangian description of a six-dimensional free chiral field derived from the Bagger-Lambert-Gustavsson model in arXiv:0804.3629 and make this formulation covariant with the use of a triplet of auxiliary scalar fields. We consider the coupling of this self-dual construction to gravity and its supersymmetrization. In the case of the non-linear model of arXiv:0805.2898 we solve the equations of motion of the gauge field, prove that its non-linear field strength is self-dual and find a gauge-covariant form of the non-linear action. Issues of the relation of this model to the known formulations of the M5-brane worldvolume theory are discussed.

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Cited by 2 Pith papers

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

  1. On Covariant Actions for Chiral $p-$Forms

    hep-th 2019-08 conditional novelty 7.0 of 10

    A polynomial, Lorentz-covariant action for free chiral p-forms is presented, equivalent to PST and featuring an auxiliary p-form.

  2. Tensionless limit of M5-brane and conformal symmetry of its bosonic body

    hep-th 2026-07 conditional novelty 6.0 of 10

    The tensionless M5-brane has a complete action whose bosonic sector is invariant under 11D conformal symmetry and reduces to conformal chiral 2-form electrodynamics when transverse fluctuations vanish.

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