Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-08-08
Nucl.Phys. B513 (1998) 229-238
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, phyzzx macro. Minor corrections
Scientific paper
10.1016/S0550-3213(97)00699-8
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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