General Lagrangian of non-covariant self-dual gauge field

DOI10.1007/JHEP11(2012)051zbMATH Open1397.81152arXiv1210.1024MaRDI QIDQ1796111

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Publication date: 16 October 2018

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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.

Full work available at URL: https://arxiv.org/abs/1210.1024

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