Near-horizon microstates of the D1-D5-P black hole

Raeymaekers, Joris

doi:10.1088/1126-6708/2008/02/006

Cited by 10 publications

(7 citation statements)

References 40 publications

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“…It is also interesting to note that our solution space quantization is somewhat reminiscent of the "near horizon probe" proposal of [56,64,58] and hence might lead to some insights in the exploration of the link between this proposal and the fuzzball picture [65,66].…”

Section: Discussionmentioning

confidence: 94%

Quantizing 𝒩 = 2 multicenter solutions

Boer¹,

El-Showk²,

Messamah³

et al. 2009

J. High Energy Phys.

115

315

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N = 2 supergravity in four dimensions, or equivalently N = 1 supergravity in five dimensions, has an interesting set of BPS solutions that each correspond to a number of charged centers. This set contains black holes, black rings and their bound states, as well as many smooth solutions. Moduli spaces of such solutions carry a natural symplectic form which we determine, and which allows us to study their quantization. By counting the resulting wavefunctions we come to an independent derivation of some of the wallcrossing formulae. Knowledge of the explicit form of these wavefunctions allows us to find quantum resolutions to some apparent classical paradoxes such as solutions with barely bound centers and those with an infinitely deep throat. We show that quantum effects seem to cap off the throat at a finite depth and we give an estimate for the corresponding mass gap in the dual CFT. This is an interesting example of a system where quantum effects cannot be neglected at macroscopic scales even though the curvature is everywhere small. arXiv:0807.4556v1 [hep-th] 29 Jul 2008Note that the spacetime contribution (from the vertices) and the "internal" contributions (nodes) are easily and clearly separated in this computation. For more details, including a derivation (assuming the split attractor conjecture) the reader is referred to [23] and [15]. Simple Solution SpacesLet us describe some simple moduli spaces of solutions in order to have some feeling for the spaces we wish to quantize (in section 4). We begin with the simple case of the two centers solution and then discuss the three centers case. The Two Center CaseThe solution space for two centers, when it exists, is two dimensional. The constraint

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Section: Discussionmentioning

confidence: 94%

Quantizing 𝒩 = 2 multicenter solutions

Boer¹,

El-Showk²,

Messamah³

et al. 2009

J. High Energy Phys.

115

315

View full text Add to dashboard Cite

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“…In this section we will give some non-trivial evidence that this is not the case and that the black hole degrees of freedom have to be sought outside of supergravity. An example of such states could be those of the proposal [15,25,17,18] or the possibly related setup of [13,26]. Roughly speaking the degrees of freedom in these pictures seem to reside in non-abelian D-brane degrees of freedom; see also [27].…”

Section: Free Supergravity Estimatementioning

confidence: 99%

A bound on the entropy of supergravity?

Boer

El-Showk

Messamah

et al. 2010

J. High Energ. Phys.

132

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We determine, in two independent ways, the number of BPS quantum states arising from supergravity degrees of freedom in a system with fixed total D4D0 charge. First, we count states generated by quantizing the spacetime degrees of freedom of "entropyless" multicentered solutions consisting of D0-branes bound to a D6D6 pair. Second, we determine the number of free supergravity excitations of the corresponding AdS 3 geometry with the same total charge. We find that, although these two approaches yield a priori different sets of states, the leading degeneracies in a large charge expansion are equal to each other and that, furthermore, the number of such states is parametrically smaller than that arising from the D4D0 black hole's entropy. This strongly suggests that supergravity alone is not sufficient to capture all degrees of freedom of large supersymmetric black holes. Comparing the free supergravity calculation to that of the D6D6D0 system we find that the bound on the free spectrum imposed by the stringy exclusion principle (a unitarity bound in the dual CFT) seems to be captured in the dynamics of the fully interacting but classcial supergravity equations of motion.

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“…Of special physical interest are embeddings in a type IIB string theory on S 3 × M 4 (with M 4 either K 3 or T 4 ), which is the near horizon limit of the D1-D5 system. In the probe approximation, branes wrapping the S 3 have been conjectured to account for the entropy of the Strominger-Vafa black hole in a similar manner as the S 2 -wrapping M2-branes in the M-theory frame did for the current setup [28]. Performing an Sduality, one obtains another interesting duality frame where only NS sector fields are excited and which could be the starting point for a sigma-model description.…”

Section: )mentioning

confidence: 84%

“…Such backgrounds arise for example in the near-horizon limit of the D1-D5 system and are of relevance in the description of the five-dimensional Strominger-Vafa black hole [60]. These alternative embeddings will be derived by applying U-dualities and the 4D-5D connection (see [28,61] for more details on this procedure). We will first discuss the effect of these transformations on the 'background branes' that have an AdS 3 near-horizon region, and then discuss the transformation of the 'source' branes that couple to the three-dimensional axion-dilaton and whose backreaction turns AdS 3 into Gödel space.…”

Section: A Other Embeddings Of the 3d Systemmentioning

confidence: 99%

“…The source branes have become D5 branes wrapping S 3 × T 2 . In the probe picture, such branes were argued to have a high lowest Landau level degeneracy Table 2: Dualities and 4D-5D connection and account for the entropy of the five-dimensional Strominger-Vafa black hole [28]. If we perform a further S-duality, the background consists of fundamental strings and NS5branes, while the source branes are NS5-branes on S 3 × T 2 , coupling to the complexified Kähler modulus of T 3 .…”

Section: A Other Embeddings Of the 3d Systemmentioning

confidence: 99%

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Gödel space from wrapped M2-branes

Levi

Raeymaekers

Bleeken

et al. 2010

J. High Energ. Phys.

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We show that M-theory admits a supersymmetric compactification to the Gödel universe of the form Gödel 3 ×S 2 ×CY 3 . We interpret this geometry as coming from the backreaction of M2-branes wrapping the S 2 in an AdS 3 ×S 2 ×CY 3 flux compactification. In the black hole deconstruction proposal similar states give rise to the entropy of a D4-D0 black hole. The system is effectively described by a three-dimensional theory consisting of an axion-dilaton coupled to gravity with a negative cosmological constant. Other embeddings of the three-dimensional theory imply similar supersymmetric Gödel compactifications of type IIA/IIB string theory and F-theory.

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Near-horizon microstates of the D1-D5-P black hole

Cited by 10 publications

References 40 publications

Quantizing 𝒩 = 2 multicenter solutions

Quantizing 𝒩 = 2 multicenter solutions

A bound on the entropy of supergravity?

Gödel space from wrapped M2-branes

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