Lagrangian Formulations of Self-dual Gauge Theories in Diverse Dimensions

Details Lagrangian Formulations of Self-dual Gauge Theories in Diverse Dimensions Lagrangian Formulations of Self-dual Gauge Theories in Diverse Dimensions

2010-01-20

arxiv.org/abs/1001.3608v4

Nucl.Phys.B837:1-21,2010

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, the modified Lorentz transformation rule revised, minor modifications

Scientific paper

10.1016/j.nuclphysb.2010.04.015

In this work, we study Lagrangian formulations for self-dual gauge theories, also known as chiral $n$-form gauge theories, for $n = 2p$ in $D = 4p+2$ dimensional spacetime. Motivated by a recent formulation of M5-branes derived from the BLG model, we generalize the earlier Lagrangian formulation based on a decomposition of spacetime into $(D-1)$ dimensions plus a special dimension, to construct Lagrangian formulations based on a generic decomposition of spacetime into $D'$ and $D" = D - D'$ dimensions. Although the Lorentz symmetry is not manifest, we prove that the action is invariant under modified Lorentz transformations.

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