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

Fareghbal, R ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevD.81.046005
  3. Publisher: 2010
  4. Abstract:
  5. We extend the analysis of Fareghbal 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-Bogomol'nyi-Prasad- Sommerfield (BPS) black hole solution and the other over the near-extremal, but non-BPS geometry. Taking the limit over the 11-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 ungauged (gauged) STU supergravity. Based on these decoupling limits, we argue that there should be sectors of 3D conformal field theories (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 N4/3 (for the 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
  6. Keywords:
  8. Source: Physical Review D - Particles, Fields, Gravitation and Cosmology ; Volume 81, Issue 4 , 2010 ; 15507998 (ISSN)
  9. URL: http://journals.aps.org/prd/abstract/10.1103/PhysRevD.81.046005