Noncommutative Topological Theories of Gravity

Details Noncommutative Topological Theories of Gravity Noncommutative Topological Theories of Gravity

2002-10-21

arxiv.org/abs/hep-th/0210203v2

Phys.Rev. D68 (2003) 045010

Physics

High Energy Physics

High Energy Physics - Theory

17+1 pages, LaTeX, no figures, some clarifications, comments and references added, style improved

Scientific paper

10.1103/PhysRevD.68.045010

The possibility of noncommutative topological gravity arising in the same manner as Yang-Mills theory is explored. We use the Seiberg-Witten map to construct such a theory based on a SL(2,C) complex connection, from which the Euler characteristic and the signature invariant are obtained. This gives us a way towards the description of noncommutative gravitational instantons as well as noncommutative local gravitational anomalies.

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