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Teleparallel gravity and dimensional reductions of noncommutative gauge theory
KTH, Superseded Departments, Physics.
2001 (English)In: Physical Review D. Particles and fields, ISSN 0556-2821, E-ISSN 1089-4918, Vol. 6410, no 10Article in journal (Refereed) Published
Abstract [en]

We study dimensional reductions of noncommutative electrodynamics on flat space, which lead to gauge theories of gravitation. For a general class of such reductions, we show that the noncommutative gauge fields naturally yield a Weitzenbock geometry on spacetime and that the induced diffeomorphism invariant field theory can be made equivalent to a teleparallel formulation of gravity which macroscopically describes general relativity. The Planck length is determined in this setting by the Yang-Mills coupling constant and the non-commutativity scale. The effective field theory can also contain higher curvature and non-local terms which are characteristic of string theory. Some applications to D-brane dynamics and generalizations to include the coupling of ordinary Yang-Mills theory to gravity are also described.

Place, publisher, year, edition, pages
2001. Vol. 6410, no 10
Keyword [en]
yang-mills, general-relativity, field-equations, matrix model, geometry, supergravity, su(infinity), formulation, invariance, algebras
URN: urn:nbn:se:kth:diva-21082ISI: 000172074100030OAI: diva2:339779
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

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