Membranes with topological charge and AdS{sub 4}/CFT{sub 3} correspondence

Journal Article · Tue Jun 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.125011· OSTI ID:21413236

Klebanov, Igor R ^[1]; Pufu, Silviu S; Tesileanu, Tiberiu ^[1]

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1. Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544 (United States)

If the second Betti number b{sub 2} of a Sasaki-Einstein manifold Y{sup 7} does not vanish, then M-theory on AdS{sub 4}xY{sup 7} possesses 'topological' U(1){sup b}{sub 2} gauge symmetry. The corresponding Abelian gauge fields come from three-form fluctuations with one index in AdS{sub 4} and the other two in Y{sup 7}. We find black membrane solutions carrying one of these U(1) charges. In the zero-temperature limit, our solutions interpolate between AdS{sub 4}xY{sup 7} in the UV and AdS{sub 2}xR{sup 2}xsquashed Y{sup 7} in the IR. In fact, the AdS{sub 2}xR{sup 2}xsquashed Y{sup 7} background is by itself a solution of the supergravity equations of motion. These solutions do not appear to preserve any supersymmetry. We search for their possible instabilities and do not find any. We also discuss the meaning of our charged membrane backgrounds in a dual quiver Chern-Simons gauge theory with a global U(1) charge density. Finally, we present a simple analytic solution which has the same IR but different UV behavior. We reduce this solution to type IIA string theory, and perform T-duality to type IIB. The type IIB metric turns out to be a product of the squashed Y{sup 7} and the extremal Banados-Teitelboim-Zanelli black hole. We discuss an interpretation of this type IIB background in terms of the (1+1)-dimensional conformal field theory on D3-branes partially wrapped over the squashed Y{sup 7}.

• OSTI ID: 21413236
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 12; Other Information: DOI: 10.1103/PhysRevD.81.125011; (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
ANALYTICAL SOLUTION
ANTI DE SITTER SPACE
BLACK HOLES
BRANES
CHARGE DENSITY
CONFORMAL INVARIANCE
DUALITY
EQUATIONS OF MOTION
FLUCTUATIONS
GAUGE INVARIANCE
METRICS
M-THEORY
QUANTUM FIELD THEORY
STRING THEORY
SUPERGRAVITY
SUPERSYMMETRY
TEMPERATURE ZERO K
TOPOLOGY
TWO-DIMENSIONAL CALCULATIONS
U-1 GROUPS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
SPACE
SYMMETRY
SYMMETRY GROUPS
U GROUPS
UNIFIED-FIELD THEORIES
VARIATIONS