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arXiv · hep-th/9708048

Non-Abelian Gravity and Antisymmetric Tensor Gauge Theory

C. M. Hull
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Abstract

A non-abelian generalisation of a theory of gravity coupled to a 2-form gauge field and a dilaton is found, in which the metric and 3-form field strength are Lie algebra-valued. In the abelian limit, the curvature with torsion is self-dual in four dimensions, or has SU(n) holonomy in $2n$ dimensions. The coupling to self-dual Yang-Mills fields in 4 dimensions, or their higher dimensional generalisation, is discussed. The abelian theory is the effective action for (2,1) strings, and the non-abelian generalisation is relevant to the study of coincident branes in the (2,1) string approach to M-theory. The theory is local when expressed in terms of a vector pre-potential.

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C. M. Hull. 1997-09-19. Non-Abelian Gravity and Antisymmetric Tensor Gauge Theory. https://doi.org/10.1016/s0550-3213(97)00699-8

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