Topologically Massive Gravity from the Heterotic String
Abstract
Topologically massive gravity (TMG) in three dimensions provides an interesting toy model for constructing a quantum theory of gravity. Although it can be thought of as standing as a theory in its own right, it is also of interest to see whether it can be described within the larger framework of string theory or M-theory. In this paper, we show that it can be embedded within the heterotic string, via a compactification on $S^3\times T^4$. Since all solutions of TMG can now be lifted to ten dimensions, this allows us to give a string and brane interpretation to quantities such as the central charges in the conformal field theory on the boundary of TMG, and the entropy of the BTZ black hole solution.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2010
- DOI:
- 10.48550/arXiv.1001.5043
- arXiv:
- arXiv:1001.5043
- Bibcode:
- 2010arXiv1001.5043L
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- Withdrawn by authors, due to errors in equations of motion