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arXiv · 1210.1024

General Lagrangian of Non-Covariant Self-dual Gauge Field

Wung-Hong Huang
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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.

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Wung-Hong Huang. 2012-10-03. General Lagrangian of Non-Covariant Self-dual Gauge Field. https://doi.org/10.1007/jhep11(2012)051

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