1997/08/31 by C.M. Hull, C. M. Hull
Physics and Astronomy · #Abelian group #Antisymmetric tensor #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Curvature #Dilaton #Gauge theory #Holonomy #Introduction to gauge theory #Noncommutative and Quantum Gravity Theories #Tensor field #f(R) gravity #hep-th
paper · pdf · doi:10.1016/s0550-3213(97)00699-8
published in Nuclear Physics B 513(1-2), 229-238 (Elsevier BV) · 14 pages, phyzzx macro. Minor corrections
arxiv created 1997/09/19 · openalex publication_date 1998/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.