Noncommutative topological theories of gravity
Copyright policy )Noncommutative topological theories of gravity
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.
17+1 pages, LaTeX, no figures, some clarifications, comments and references added, style improved
- Universidad de Guanajuato Mexico
- University of Cambridge United Kingdom
Seiberg-Witten map, High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Methods of noncommutative geometry in general relativity, noncommutative topological gravity theories, FOS: Physical sciences
Seiberg-Witten map, High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Methods of noncommutative geometry in general relativity, noncommutative topological gravity theories, FOS: Physical sciences
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