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

Abstract

We reveal nonmanifest 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 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 nonlinear model of we solve the equations of motion of the gauge field, prove that its nonlinear field strength is self-dual and find a gauge-covariant form of the nonlinear action. Issues of the relation of this model to the known formulations of the M5-brane worldvolume theory are discussed.

Original language	English
Article number	086008
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	80
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevD.80.086008
Publication status	Published - 23 Oct 2009

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1103/PhysRevD.80.086008

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title = "Bagger-Lambert-Gustavsson-motivated Lagrangian formulation for the chiral two-form gauge field in D=6 and M5-branes",

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AU - Pasti, Paolo

AU - Samsonov, Igor

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AU - Tonin, Mario

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AB - We reveal nonmanifest 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 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 nonlinear model of we solve the equations of motion of the gauge field, prove that its nonlinear field strength is self-dual and find a gauge-covariant form of the nonlinear action. Issues of the relation of this model to the known formulations of the M5-brane worldvolume theory are discussed.

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