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

Journal Article · Mon Feb 15 00:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.046005· OSTI ID:21409353

Fareghbal, R ^[1]; Gowdigere, C N ^[2]; Mosaffa, A E; Sheikh-Jabbari, M M ^[1]

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1. School of Physics, Institute for Research in Fundamental Sciences (IPM), Post Office Box 19395-5531, Tehran (Iran, Islamic Republic of)
2. Abdus Salam ICTP, Strada Costiera 11, Trieste (Italy)

We extend the analysis of Fareghbal et al.[arXiv:0801.4457] to charged black hole solutions of four-dimensional U(1){sup 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 BTZxS{sup 2}. We study the 4D, 11D, and 5D, 3D black hole properties. Moreover, we show that the BTZxS{sup 2} geometry obtained after the near-BPS (near-extremal) limit is also a solution to five-dimensional U(1){sup 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{yields}{infinity}), 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{sup 4/3} (for the near-BPS case) while as N{sup 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.

• OSTI ID: 21409353
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 4; Other Information: DOI: 10.1103/PhysRevD.81.046005; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
BRANES
CONFORMAL INVARIANCE
DECOUPLING
DEFORMATION
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
MATHEMATICAL SOLUTIONS
NITROGEN IONS
QUANTUM FIELD THEORY
SUPERGRAVITY
U-1 GROUPS
CHARGED PARTICLES
FIELD THEORIES
INVARIANCE PRINCIPLES
IONS
LIE GROUPS
SYMMETRY GROUPS
U GROUPS
UNIFIED-FIELD THEORIES