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Paper IPM / P / 8764  


Abstract:  
We extend the analysis of arXiv:0801.4457 [hepth] to charged black hole solutions
of fourdimensional U(1)4 gauged supergravity which carry three charges. There
are two decoupling nearhorizon limits, one over the nearBPS black hole solution
and the other over the nearextremal, but nonBPS geometry. Taking the limit
over the eleven dimensional uplift of these black hole solutions, for both of these
cases we obtain a geometry which has a piece (conformal) to rotating BTZ×S2.
We study the 4d, 11d and 5d, 3d black hole properties. Moreover, we show
that the BTZ×S2 geometry obtained after the nearBPS (nearextremal) limit is
also a solution to fivedimensional U(1)3 ungauged (gauged) STU supergravity.
Based on these decoupling limits we argue that there should be sectors of 3d
CFT resulting from low energy limit of theory on N M2branes (N ! 1), which
are decoupled from the rest of the theory and are effectively described by a 2d
CFT. The central charge of the 2d CFT in both nearBPS and nearextremal
case scales as N. The engineering dimension of the operators in these decoupled
sectors scales as N4/3 (for nearBPS case) while as N3/2 (for the nearextremal
case). Moreover, we discuss the description of the decoupled sectors as certain
deformations of 6d CFT residing on the intersecting M5brane giants.
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