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Non-extremal superdescendants of the D1D5 CFT
High Energy Physics - Theory · Submitted 29 Jun 2017
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We construct solutions of IIB supergravity dual to non-supersymmetric states of the D1D5 system.
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
We construct solutions of IIB supergravity dual to non-supersymmetric states of the D1D5 system. These solutions are constructed as perturbations carrying both left and right moving momentum around the maximally rotating D1D5 ground state at linear order. They are found by extending to the asymptotically flat region the geometry generated in the decoupling limit by the action of left and right R-currents on a known D1D5 microstate. The perturbations are regular everywhere and do not carry any global charge. We also study the near-extremal limit of the solutions and derive the first non-trivial correction to the extremal geometry.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We construct solutions of IIB supergravity dual to non-supersymmetric states of the D1D5 system. | contribution 0.99 | 0.96 | 0.47 | asserted 1.00 |
| s1 | These solutions are constructed as perturbations carrying both left and right moving momentum around the maximally rotating D1D5 ground state at linear order. | method 0.94 | 0.92 | 0.12 | asserted 1.00 |
| s2 | They are found by extending to the asymptotically flat region the geometry generated in the decoupling limit by the action of left and right R-currents on a known D1D5 microstate. | method 0.99 | 0.89 | 0.10 | asserted 1.00 |
| s3 | The perturbations are regular everywhere and do not carry any global charge. | result 1.00 | 0.89 | 0.11 | asserted 1.00 |
| s4 | We also study the near-extremal limit of the solutions and derive the first non-trivial correction to the extremal geometry. | contribution 0.69 | 0.96 | 0.17 | asserted 1.00 |
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The paper
Original abstract
We construct solutions of IIB supergravity dual to non-supersymmetric states of the D1D5 system. These solutions are constructed as perturbations carrying both left and right moving momentum around the maximally rotating D1D5 ground state at linear order. They are found by extending to the asymptotically flat region the geometry generated in the decoupling limit by the action of left and right R-currents on a known D1D5 microstate. The perturbations are regular everywhere and do not carry any global charge. We also study the near-extremal limit of the solutions and derive the first non-trivial correction to the extremal geometry.
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References
How the literature uses it
10 arXiv papers cite this in 15 sentences
Papers citing it · 9 sentences without a confident label
Cites it as background 4 papers
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In the $1/8$-BPS sector, the microstate geometries of typical states were firstly constructed in [ref] and more solutions were found in [ref] [For a non-supersymmetric example see [ref] ].
Holographic Correlators on Integrable Superstrata · Introduction · 0.81
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As noted in [ref] , there exists a class of superstrata, described in the previous section, that have a factorisable form.
Holographic entanglement entropy and complexity of microstate geometries · Factorisable geometries · 0.81
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A set of smooth nonextremal microstate geometries were constructed in [ref] .
A 4d non-BPS NS-NS microstate · Introduction · 0.84
What it cites · 36 sentences without a confident label
Uses the method or tool of 3 papers
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It turns out, indeed, that when supersymmetry is preserved the supergravity equations for $Z_4$, $a_4$ and $δ_2$ do not depend on $Z$: then, all one has to do to construct the asymptotically flat solution is to keep the same $Z_4$, $a_4$ and $δ_2$ of the inner region solution and simply “add back the 1" in the function $Z$ that appears in [ref] .
6D microstate geometries from 10D structures · Asymptotically flat ansatz · 0.89
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We reduce the problem to the solution of a partial differential equation, which we solve approximately using the same matching technique of [ref] .
Constructing "hair" for the three charge hole · Introduction · 1.00
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To provide evidence of the existence of a solution with the required boundary conditions we resort to a matched asymptotic expansion, as was done in [ref] and [ref] .
Hair on non-extremal D1-D5 bound states · A non-extremal solution · 1.00
Compares with 4 papers
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A similar conclusion was reached more recently in [ref] , which also considered non-extremal states obtained by applying left and right-moving chiral algebra transformations to 1/ 4 BPS geometries: it was concluded that the only normalisable solutions are given by extremal perturbations around the non-extremal background of [ref] .
Non-supersymmetric smooth geometries and D1-D5-P bound states · Introduction · 0.93
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A similar conclusion was reached more recently in [ref] , which also considered non-extremal states obtained by applying left and right-moving chiral algebra transformations to 1/ 4 BPS geometries: it was concluded that the only normalisable solutions are given by extremal perturbations around the non-extremal background of [ref] .
Holographic description of non-supersymmetric orbifolded D1-D5-P solutions · Introduction · 0.93
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This is a slower fall-off than the one exhibited by the extremal solutions, and agrees with the one estimated in Section 3.3 of [ref] for non-extremal perturbations[Note that the same decay was found for the time-dependent non-supersymmetric solutions of [ref] .
Oscillating supertubes and neutral rotating black hole microstates · The solution in the outer region $r≫a$ · 0.99
Cites as support 1 paper
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It was shown in [ref] that when the perturbation carries more energy than its charge, it will be non-normalisable, i.e. it belongs to the continuum spectrum of excitations around the extremal background: this behaviour is expected for non-extremal perturbations, and does not signal a pathology of the solution[We thank Samir Mathur for clarifying to us this point.].
Constructing "hair" for the three charge hole · Introduction · 0.98
Cites as background 20 papers
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We will work in the 6D theory dimensionally reduced on $ℳ$, whose field content and equations of motion have been nicely reviewed in [ref] .
Hair on non-extremal D1-D5 bound states · Asymptotically flat ansatz · 0.91
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At the supergravity point a simple picture of black hole microstates is expected again to emerge: the CFT states that can be identified with the microstates of black holes have a conformal dimension that scales like the central charge $c=6 N$ and are expected to be described by smooth horizonless geometries with the same global charges as the black hole [ref] .
Resolving the Structure of Black Holes: Philosophizing with a Hammer · Introduction · 0.82
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At the supergravity point a simple picture of black hole microstates is expected again to emerge: the CFT states that can be identified with the microstates of black holes have a conformal dimension that scales like the central charge $c=6 N$ and are expected to be described by smooth horizonless geometries with the same global charges as the black hole [ref] .
The fuzzball proposal for black holes · Introduction · 0.82
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