The M2/M5 BPS Partition Functions from Supergravity

Details The M2/M5 BPS Partition Functions from Supergravity The M2/M5 BPS Partition Functions from Supergravity

2008-10-25

arxiv.org/abs/0810.4648v2

JHEP 0901:083,2009

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, 2 columns, 4 figures, revtex, typos corrected, reference added

Scientific paper

10.1088/1126-6708/2009/01/083

In the framework of the AdS/CFT duality, we calculate the supersymmetric partition function of the superconformal field theories living in the world volume of either $N$ $M2$-branes or $N$ $M5$-branes. We used the dual supergravity partition function in a saddle point approximation over supersymmetric Black Holes. Since our BHs are written in asymptotically global $AdS_{d+1}$ co-ordinates, the dual SCFTs are in $R x S^{d}$ for $d=2,5$. The resulting partition function shows phase transitions, constraints on the phase space and allowed us to identify unstable BPS Black hole in the $AdS$ phase. These configurations should correspond to unstable configurations in the dual theory. We also report an intriguing relation between the most general Witten Index, computed in the above theories, and our BPS partition functions.

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