paper

Lagrangian of Self-dual Gauge Fields in Various Formulations

arXiv:1111.5118 · doi:10.1016/j.nuclphysb.2012.03.017

Abstract

The Lagrangian of self-dual gauge theory in various formulations are reviewed. From these results we see a simple rule and use it to present some new non-covariant Lagrangian based on the decomposition of spacetime into . Our prescription could be easily extended to more complex decomposition of spacetime and some more examples are presented therefore. The self-dual property of the new Lagrangian is proved in detail. We also show that the new non-covariant actions give field equations with 6d Lorentz invariance.

Latex, 27 pages,9 tables. V4: Modify Lagrangian (3.1) and prove its self-duality

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