Nearing 11D extremal intersecting giants and new decoupled sectors inD=3, 6 superconformal field theories

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×S 2 . We study the 4d, 11d and 5d, 3d black hole properties. Moreover, we show that the BTZ×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 → ∞), 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.

Warped Ricci-flat reductions

“…The main idea for such a reduction was presented in [13]. Our warped Ansatz naturally generalises the known reduction to a Minkowski vacuum on Calabi-Yau, for example [25].…”

“…Curvature singularities of this type have been identified as the "good" type in the literature [8] and their CFT interpretation has been explored in [13]. For λ = +1 this is a smooth embedding of D = 5 U(1) 3 de Sitter gravity in eleven-dimensional supergravity, albeit with a non-compact internal space.…”

“…In this section, we offer an explanation as to why that may be the case. Our observation hinges on a known "far from BPS" near-horizon limit of certain extremal black holes in D = 4 U(1) 4 and D = 5 U(1) 3 gauged supergravity [13,14] (see also [16]), where an AdS 3 near-horizon is formed by incorporating an internal circular direction with the scalars, in this case X i , all scaled appropriately.…”

“…Within an AdS/CFT context, such warped-product solutions have been studied previously in [13,14] (more recently [15,16]), where consistent KK reductions to lower-dimensional theories were constructed. In contrast to usual AdS/CFT setups, the vacua of the lower-dimensional theories are supported exclusively through the warp factor and lift to vacuum solutions in ten and eleven dimensions.…”

“…By constructing lower-dimensional Freund-Rubin type solutions within our AdS p , p = 5, 6, 8 truncations, we show that AdS 3 solutions are stable. On physical grounds, since these arise as the near-horizon of EVH black holes [13,14], they are expected to be classically stable.…”