D1-D5-P superstrata in 5 and 6 dimensions: separable wave equations and prepotentials

Self Cite

138

The most detailed constructions of microstate geometries, and particularly of superstrata, are done using $$ \mathcal{N} $$ N = (1, 0) supergravity coupled to two anti-self-dual tensor multiplets in six dimensions. We show that an important sub-sector of this theory has a consistent truncation to a particular gauged supergravity in three dimensions. Our consistent truncation is closely related to those recently laid out by Samtleben and Sarıoğlu [1], which enables us to develop complete uplift formulae from the three-dimensional theory to six dimensions. We also find a new family of multi-mode superstrata, indexed by two arbitrary holomorphic functions of one complex variable, that live within our consistent truncation and use this family to provide extensive tests of our consistent truncation. We discuss some of the future applications of having an intrinsically three-dimensional formulation of a significant class of microstate geometries.

Section: Jhep10(2020)030mentioning

confidence: 99%

Microstate geometries from gauged supergravity in three dimensions

Mayerson

Walker

Warner

2020

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138

“…In [9] it was shown that the (k, m, n) and (k, k − m, n) single-mode superstrata are rather similar solutions. In six dimensions they are almost related by sending θ → π 2 − θ and making coordinate redefinitions in (ϕ 1 , ϕ 2 ).…”

Section: The (1 1 N) Superstratamentioning

confidence: 99%

“…In six dimensions they are almost related by sending θ → π 2 − θ and making coordinate redefinitions in (ϕ 1 , ϕ 2 ). If one performs the requisite spectral transformations followed by dimensional reduction to five dimensions, then they indeed become identical [9]. Thus it is no surprise that the analysis of the (1, 1, n) multi-mode family built from…”

Section: The (1 1 N) Superstratamentioning

confidence: 99%

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Holomorphic waves of black hole microstructure

Heidmann

Mayerson

Walker

et al. 2020

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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.

“…If we solve the zeroth layer, the remaining two layers can be written as linear differential equations on B. In practice, in most of the explicit superstratum solutions in the literature, it is assumed that the B is flat R 4 or a Gibbons-Hawking space [43,71,72], and that β is independent of v.…”

Section: The Zeroth Layermentioning

confidence: 99%

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