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Paper   IPM / P / 8764
School of Physics
  Title:   Nearing 11d Extremal Intersecting Giants and New Decoupled Sectors in D=3, 6 SCFTs
1.  R. Fareghbal
2.  C.N. Gowdigere
3.  A.E. Mosaffa
4.  M.M. Sheikh-Jabbari
  Status:   To Appear
  Journal: Phys. Rev. D
  Supported by:  IPM
We extend the analysis of arXiv:0801.4457 [hep-th] to charged black hole solutions of four-dimensional U(1)4 gauged supergravity which carry three charges. There are two decoupling near-horizon limits, one over the near-BPS black hole solution and the other over the near-extremal, but non-BPS 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 near-BPS (near-extremal) limit is also a solution to five-dimensional U(1)3 un-gauged (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 M2-branes (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 near-BPS and near-extremal case scales as N. The engineering dimension of the operators in these decoupled sectors scales as N4/3 (for near-BPS case) while as N3/2 (for the near-extremal case). Moreover, we discuss the description of the decoupled sectors as certain deformations of 6d CFT residing on the intersecting M5-brane giants.

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