Language：Japanese   Publishing type：Research paper (scientific journal)   Publisher：General Relativity and Gravitation  

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.

DOI： 10.1007/s10714-020-02698-8

Web of Science

Scopus

Language：Japanese   Publishing type：Research paper (scientific journal)  

We count the number of regular supersymmetric solutions in supergravity,
called superstrata, that represent non-linear completion of linear fluctuations
around empty AdS_3 x S^3. These solutions carry the same charges as the D1-D5-P
black hole and represent its microstates. We estimate the entropy using
thermodynamic approximation and find that it is parametrically smaller than the
area-entropy of the D1-D5-P black hole. Therefore, these superstrata based on
AdS_3 x S^3 are not typical microstates of the black hole. What are missing in
the superstrata based on AdS_3 x S^3 are higher and fractional modes in the
dual CFT language. We speculate on what kind of other configurations to look at
as possible realization of those modes in gravity picture, such as superstrata
based on other geometries, as well as other brane configurations.

DOI： 10.1007/JHEP10(2019)017

Web of Science

Scopus

arXiv

Language：Japanese   Publishing type：Research paper (scientific journal)  

We construct a new class of smooth horizonless microstate geometries of the
supersymmetric D1-D5-P black hole in type IIB supergravity. We first work in
the AdS$_3 \times S^3$ decoupling limit and use the fermionic symmetries of the
theory to generate new momentum carrying perturbations in the bulk that have an
explicit CFT dual description. We then use the supergravity equations to
calculate the backreaction of these perturbations and find the full non-linear
solutions both in the asymptotically AdS and asymptotically flat case. These
new geometries have a simpler structure than the previously known superstrata
solutions.

DOI： 10.1007/JHEP03(2019)095

Web of Science

Scopus

arXiv

Publishing type：Research paper (scientific journal)  

We construct an infinite family of smooth asymptotically-flat supergravity
solutions that have the same charges and angular momenta as general
supersymmetric D1-D5-P black holes, but have no horizon. These solutions
resemble the corresponding black hole to arbitrary accuracy outside of the
horizon: they have asymptotically flat regions, AdS_3 x S^3 throats and
very-near-horizon AdS_2 throats, which however end in a smooth cap rather than
an event horizon. The angular momenta of the solutions are general, and in
particular can take arbitrarily small values. Upon taking the AdS_3 x S^3
decoupling limit, we identify the holographically-dual CFT states.

DOI： 10.1007/JHEP02(2018)014

arXiv

Publishing type：Research paper (scientific journal)  

A supertube is a supersymmetric configuration in string theory which occurs
when a pair of branes spontaneously polarizes and generates a new dipole charge
extended along a closed curve. The dipole charge of a codimension-2 supertube
is characterized by the U-duality monodromy as one goes around the supertube.
For multiple codimension-2 supertubes, their monodromies do not commute in
general. In this paper, we construct a supersymmetric solution of
five-dimensional supergravity that describes two supertubes with such
non-Abelian monodromies, in a certain perturbative expansion. In supergravity,
the monodromies are realized as the multi-valuedness of the scalar fields,
while in higher dimensions they correspond to non-geometric duality twists of
the internal space. The supertubes in our solution carry NS5 and 5$_2^2$ dipole
charges and exhibit the same monodromy structure as the SU(2) Seiberg-Witten
geometry. The perturbative solution has $\mathrm{AdS}_2\times S^2$ asymptotics
and vanishing four-dimensional angular momentum. We argue that this solution
represents a microstate of four-dimensional black holes with a finite horizon
and that it provides a clue for the gravity realization of a pure-Higgs branch
state in the dual quiver quantum mechanics.

DOI： 10.1007/JHEP12(2017)103

arXiv

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DOI： 10.1088/1126-6708/2002/06/034

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