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Paper IPM / P / 8740  


Abstract:  
We study nearhorizon limits of nearextremal charged black hole solutions to fivedimensional U(1)^{3} gauged supergravity carrying two charges, extending the recent work of Balasubramanian et.al. We show that there are two nearhorizon decoupling limits, one corresponding to the nearBPS black hole and the other to nearextremal but not BPS case. Both of these limits are only defined on the 10d IIB uplift of the 5d black holes, resulting in a decoupled geometry with a sixdimensional part (conformal to) a rotating BTZ X S^{3}. We study various aspects of these decoupling limits both from the gravity side and the dual field theory side. For the latter we argue that there should be two different, but equivalent, dual gauge theory descriptions, one in terms of the 2d CFT's dual to the rotating BTZ and the other as certain large Rcharge sectors of d=4, N = 4 U(N) SYM theory. We discuss new BMNtype sectors of the N =4 SYM in the N→∞ limit in which the engineering dimensions scale as N^{3/2} (for the nearBPS case) and as N^{2} (for the nearextremal, nonBPS case).
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