Bubbling surface operators and S-duality

Gomis, Joaquim; Matsuura, Shunji

doi:10.1088/1126-6708/2007/06/025

Cited by 106 publications

(180 citation statements)

References 29 publications

(89 reference statements)

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“…Thermal properties and Wilson loops in the CFT dual to these geometries were studied in [127,128] while in [129,130,131] 1/2 BPS geometries corresponding to defects in the CFT were considered. In [132] the relation between phase space densities in the fermion formulation of the theory and generalized Young tableaux is studied.…”

Section: I-the 1/2 Bps Casementioning

confidence: 99%

Black holes as effective geometries

Balasubramanian

Boer²,

El-Showk³

et al. 2008

Class. Quantum Grav.

142

173

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Gravitational entropy arises in string theory via coarse graining over an underlying space of microstates. In this review we would like to address the question of how the classical black hole geometry itself arises as an effective or approximate description of a pure state, in a closed string theory, which semiclassical observers are unable to distinguish from the "naive" geometry. In cases with enough supersymmetry it has been possible to explicitly construct these microstates in spacetime, and understand how coarse-graining of non-singular, horizon-free objects can lead to an effective description as an extremal black hole. We discuss how these results arise for examples in Type II string theory on AdS 5 ×S 5 and on AdS 3 ×S 3 ×T 4 that preserve 16 and 8 supercharges respectively. For such a picture of black holes as effective geometries to extend to cases with finite horizon area the scale of quantum effects in gravity would have to extend well beyond the vicinity of the singularities in the effective theory. By studying examples in M-theory on AdS 3 ×S 2 ×CY that preserve 4 supersymmetries we show how this can happen. This review is a revised and extended version of proceedings submitted for the Sower's Theoretical Physics Workshop 2007 "What is String Theory?" and of lecture notes for the CERN RTN Winter School on Strings, Supergravity and Gauge Theories [1].

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Section: I-the 1/2 Bps Casementioning

confidence: 99%

Black holes as effective geometries

Balasubramanian

Boer²,

El-Showk³

et al. 2008

Class. Quantum Grav.

142

173

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“…This led to a natural gauge theory description of the tame case of the geometric Langlands correspondence. For an elegant supergravity analysis of the relevant family of surface operators, see [17].…”

Section: Introductionmentioning

confidence: 99%

Gauge Theory and Wild Ramification

Witten

2008

Anal. Appl.

171

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“…Restricting to systems with large amounts of supersymmetry, large classes of geometries have been explicitly constructed. These include geometries describing Wilson lines [6,7], surface operators [8], defect theories [9,10] and theories with boundaries [11]. These explicit geometries have been used to provide non-trivial checks of the AdS/CFT correspondence [12,13].…”

Section: Jhep10(2014)103mentioning

confidence: 99%

“…We note that the metric is regular in string frame, although the coupling still diverges. 8 Next we examine the solution near A = 0. Assuming A ∼ 0 and eliminating G in favor of a second order equation for A, we obtain the approximate equation 2A + ∂ h A − ∂ 2 h A = 0, whose general solution is given by A ∼ C 3 e −h + C 4 e 2h .…”

Section: Jhep10(2014)103mentioning

confidence: 99%

Near horizon geometry of strings ending on intersecting D8/D4-branes

Estes

Krym

Pol

2014

J. High Energ. Phys.

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We consider solutions of massive IIA supergravity corresponding to the half-BPS intersection of D8/D4-branes with fundamental strings. The 1 + 1-dimensional intersection preserves the symmetry D(2, 1; γ; 1) × SO(4). We give a reduction and partial integration of the BPS equations for this symmetry group. We then specialize to the cases of enhanced supersymmetry corresponding to γ = −1/2, −2 or γ = 1. In the first case, we show that the only solution with enhanced symmetry is given by the AdS 6 geometry describing the near horizon geometry of D8/D4-branes in the presence of an O8-plane. In the second case, we identify novel solutions corresponding to fundamental strings ending on D8-branes and a second set of novel solutions corresponding to fundamental strings ending on an O8-plane. In both cases, the fundamental string geometry contains an asymptotically flat region where the string coupling goes to zero. We also show that there are no solutions corresponding to 1+0-dimensional CFTs, which one may have hoped to construct by suspending fundamental strings between D8-branes.

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Bubbling surface operators and S-duality

Cited by 106 publications

References 29 publications

Black holes as effective geometries

Black holes as effective geometries

Gauge Theory and Wild Ramification

Near horizon geometry of strings ending on intersecting D8/D4-branes

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