Three-dimensional AdS gravity and extremal CFTs at c=8m

Details Three-dimensional AdS gravity and extremal CFTs at c=8m Three-dimensional AdS gravity and extremal CFTs at c=8m

2007-08-24

arxiv.org/abs/0708.3386v2

JHEP 0711:022,2007

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, harvmac; v2: references added, version accepted in JHEP

Scientific paper

10.1088/1126-6708/2007/11/022

We note that Witten's proposed duality between extremal c=24k CFTs and three-dimensional anti-de Sitter gravity may possibly be extended to central charges that are multiples of 8, for which extremal self-dual CFTs are known to exist up to c=40. All CFTs of this type with central charge 24 or higher, provided that they exist, have the required mass gap and may serve as candidate duals to three-dimensional gravity at the corresponding values of the cosmological constant. Here, we compute the genus one partition function of these theories up to c=88, we give exact and approximate formulas for the degeneracies of states, and we determine the genus two partition functions of the theories up to c=40.

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