AdS2 holography: mind the cap

Self Cite

111

At high energy densities, fivebranes are populated by a Hagedorn phase of so-called little strings, whose statistical mechanics underlies black fivebrane thermodynamics. A particular limit of this phase yields BTZ black holes in AdS 3 , leading us to the idea that in this context fuzzballs and highly excited little strings are one and the same. We explore these ideas through an analysis of D-brane probes of fivebrane supertube backgrounds. String theory dynamics on these backgrounds is described by an exactly solvable null-gauged WZW model. We develop the formalism of null gauging on worldsheets with boundaries, and find that D-branes wrapping topology at the bottom of the supertube throat are avatars of the "long string" structure that dominates the thermodynamics of the black hole regime, appearing here as excitations of supertubes lying near but slightly outside the black hole regime.

Section: W-brane Excitationsmentioning

confidence: 92%

Little strings, long strings, and fuzzballs

Martinec

Massai

Turton

2019

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111

“…However, the existence of a capped AdS 2 does not contradict with the no-go theorem, because the divergent dilaton is interpreted as the collapsing of an internal S 1 which caps off the geometry. In [84], it was found that the non-supersymmetric excitations at the bottom of the capped AdS 2 superstratum are normalizable with spectrum ∆E = 4J R /(N R y ), 28 which for J R = 1/2 reproduces the CFT expectation. However, it remains to be seen if these excitations preserve the AdS 2 28 The spectrum in the (1, 0, n) geometry was studied in [83] before.…”

Section: Further Aspects Of Superstratamentioning

confidence: 93%

“…At r ∼ a, there is a momentum wave that supports the geometry which smoothly caps off at r = 0. For studies of various physical aspects of this solution, see [42,44,79,[82][83][84][85][86][87][88][89][90], some of which are reviewed in section 5.…”

Section: Examplesmentioning

confidence: 99%

“…Although superstrata naturally come with AdS 3 asymptotics, one can take a scaling limit of deep superstrata geometries, such as the (1, 0, n) stratum, and find an asymptotically-AdS 2 superstratum [84]. Black-hole microstates with AdS 2 asymptotics are interesting, particularly because of the claim [114,115] that black-hole microstates must have zero angular momentum in four dimensions (J R = 0 in five dimensions) and fit in an AdS 2 region, and also because of the recent surge of interest in the near-AdS 2 /SYK correspondence [116,117] (for a review of the already large literature see e.g.…”

Section: Further Aspects Of Superstratamentioning

confidence: 99%

See 1 more Smart Citation

Counting superstrata

Shigemori

2019

We give a survey of the present status of the microstate geometries called superstrata. Superstrata are smooth, horizonless solutions of six-dimensional supergravity that represent some of the microstates of the D1-D5-P black hole in string theory. They are the most general microstate geometries of that sort whose CFT dual states are identified. After reviewing relevant features of the dual CFT, we discuss the construction of superstratum solutions in supergravity, based on the linear structure of the BPS equations. We also review some of recent work on generalizations of superstrata and physical properties of superstrata. Although the number of superstrata constructed so far is not enough to account for the black-hole entropy, they give us valuable insights into the microscopic physics of black holes.where J 3 0 is a generator of SU (2) L ∈ SO(4) coming from the rotational symmetry in the directions transverse to the D-branes.3 The CFT dual states of superstrata based on the five-dimensional multi-center solutions with two centers

“…In some classes of these geometries, the massless scalar wave equation is even separable [4,[7][8][9]. This has enabled a great deal of analysis of such geometries and an investigation of their possible effects on microstructure [4,10,11,6,7].…”

Section: Introductionmentioning

confidence: 99%

Holomorphic waves of black hole microstructure

Heidmann

Mayerson

Walker

et al. 2020

Self Cite

101

We obtain the largest families constructed to date of 1 8 -BPS solutions of type IIB supergravity. They have the same charges and mass as supersymmetric D1-D5-P black holes, but they cap off smoothly with no horizon. Their construction relies on the structure of superstratum states, but allows the momentum wave to have an arbitrary shape. Each family is based on an arbitrary holomorphic function of one variable. More broadly, we show that the most general solution is described by two arbitrary holomorphic functions of three variables. After exhibiting several new families of such "holomorphic superstrata," we reformulate the BPS backgrounds and equations in holomorphic form and show how this simplifies their structure. The holomorphic formulation is thus both a fundamental part of superstrata as well as an effective tool for their construction. In addition, we demonstrate that holomorphy provides a powerful tool in establishing the smoothness of our solutions without constraining the underlying functions. We also exhibit new families of solutions in which the momentum waves of the superstrata are highly localized at infinity but diffuse and spread into the infra-red limit in the core of the superstratum. Our work also leads to some results that can be tested within the dual CFT.