The M2/M5 BPS Partition Functions from Supergravity

dc.creatorSilva, Pedro J.
dc.date2008-10-25
dc.date2008-11-20
dc.date.accessioned2026-07-07T12:38:48Z
dc.date.available2026-07-07T12:38:48Z
dc.descriptionIn 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.
dc.description9 pages, 2 columns, 4 figures, revtex, typos corrected, reference added
dc.identifierhttps://arxiv.org/abs/0810.4648
dc.identifierhttp://arxiv.org/abs/0810.4648
dc.identifierJHEP 0901:083,2009
dc.identifierdoi:10.1088/1126-6708/2009/01/083
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218886
dc.subjectHigh Energy Physics - Theory
dc.titleThe M2/M5 BPS Partition Functions from Supergravity
dc.typetext

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