General Lagrangian of Non-Covariant Self-dual Gauge Field

Abstract

We present the general formulation of non-covariant Lagrangian of self-dual gauge theory. After specifying the parameters therein the previous Lagrangian in the decomposition of spacetime into $6=D_1+D_2$ and $6=D_1+D_2+D_3$ can be obtained. The self-dual property of the general Lagrangian is proved in detail. We furthermore show that the new non-covariant actions give field equations with 6d Lorentz invariance. The method can be straightforward extended to any dimension and we also give a short discussion about the 10D self-dual gauge theory.

Latex 20 pages. Typos corrected. arXiv admin note: substantial text overlap with arXiv:1111.5118

References in corpus (3)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's

Cited by in corpus (3)

• Partition Function of Chiral Boson on 2-Torus from Floreanini-Jackiw Lagrangian
• Aspects of Effective Theory for Multiple M5-Branes Compactified On Circle
• Lorentz Covariant Lagrangians of Self-dual Gauge Fields