Nearing 11d Extremal Intersecting Giants and New Decoupled Sectors in D = 3,6 SCFT's

Abstract

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 $\times S^2$. We study the 4d, $11d$ and $5d,3d$ black hole properties. Moreover, we show that the BTZ$\times S^2$ 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 ($N\to \infty )$, 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 $N^{4/3}$ (for near-BPS case) while as $N^{3/2}$ (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.

39 pages, v2: minor modification and clarifications

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• 3D supergravity from wrapped M5-branes
• Emergent IR dual 2d CFTs in charged AdS5 black holes
• Near-Extremal Vanishing Horizon AdS5 Black Holes and Their CFT Duals
• Extremal black holes, Holography & Coarse graining
• Warped Ricci-flat reductions
• Dual 2d CFT Identification of Extremal Black Rings from Holes
• EVH Black Hole Solutions With Higher Derivative Corrections
• Near Horizon Structure of Extremal Vanishing Horizon Black Holes
• Three Theorems on Near Horizon Extremal Vanishing Horizon Geometries
• Extremal Vanishing Horizon Kerr-AdS Black Holes at Ultraspinning Limit
• On Classification of Geometries with SO(2,2) Symmetry
• AdS${}_3$ to dS${}_3$ transition in the near horizon of asymptotically de Sitter solutions
• Black Rings in U(1)^3 Supergravity and their dual 2d CFT
• Single-rotating Five-dimensional Near-horizon Extremal Geometry in General Relativity