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      Complexified Gravity in Noncommutative Spaces

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          Abstract

          The presence of a constant background antisymmetric tensor for open strings or D-branes forces the space-time coordinates to be noncommutative. This effect is equivalent to replacing ordinary products in the effective theory by the deformed star product. An immediate consequence of this is that all fields get complexified. The only possible noncommutative Yang-Mills theory is the one with U(N) gauge symmetry. By applying this idea to gravity one discovers that the metric becomes complex. We show in this article that this procedure is completely consistent and one can obtain complexified gravity by gauging the symmetry U(1,D1) instead of the usual SO(1,D1). The final theory depends on a Hermitian tensor containing both the symmetric metric and antisymmetric tensor. In contrast to other theories of nonsymmetric gravity the action is both unique and gauge invariant. The results are then generalized to noncommutative spaces.

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          Two-Vierbein Formalism for String-Inspired Axionic Gravity

          W Siegel (1993)
          Using independent left and right vierbeins to describe graviton plus axion as suggested by string mechanics, O(d,d) duality can be realized linearly.
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            Author and article information

            Journal
            24 May 2000
            2000-05-29
            Article
            10.1007/s002200100393
            hep-th/0005222
            beb0d40c-2215-4b4e-b434-1b7ebbc32a05
            History
            Custom metadata
            CAMS/00-04
            Commun.Math.Phys. 218 (2001) 283-292
            13 pages. References added
            hep-th

            High energy & Particle physics
            High energy & Particle physics

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