The Perturbation Spectrum of Black Holes in N=8 Supergravity

Finn Larsen

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The Perturbation Spectrum of Black Holes in N=8 Supergravity

Finn Larsen

High Energy Physics - Theory · Submitted 28 May 1998

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The authors' main claim The spectra are compared with string theory.

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The near horizon geometry of four-dimensional black holes in the dilute gas regime is AdS_3 x S^2, and the global symmetry group is SU(2) x USp(6). This is exploited to calculate their perturbation spectrum using group theoretical methods. The result is interpreted in terms of three extreme M5-branes, orthogonally intersecting over a common string. We also consider N=8 black holes in five dimensions, and compute the spectrum by explicit decoupling of the equations of motion, extending recent work on N=4 black holes. This result is interpreted in terms of D1- and D5-branes that are wrapped on a small four-torus. The spectra are compared with string theory.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The near horizon geometry of four-dimensional black holes in the dilute gas regime is AdS_3 x S^2, and the global symmetry group is SU(2) x USp(6).	background 0.97	0.18	0.06	asserted 1.00
s1	This is exploited to calculate their perturbation spectrum using group theoretical methods.	method 0.98	0.85	0.06	asserted 0.99
s2	The result is interpreted in terms of three extreme M5-branes, orthogonally intersecting over a common string.	interpretation 1.00	0.76	0.25	asserted 0.99
s3	We also consider N=8 black holes in five dimensions, and compute the spectrum by explicit decoupling of the equations of motion, extending recent work on N=4 black holes.	contribution 0.89	0.94	0.08	asserted 1.00
s4	This result is interpreted in terms of D1- and D5-branes that are wrapped on a small four-torus.	interpretation 1.00	0.63	0.11	asserted 0.99
s5	The spectra are compared with string theory.	contribution 0.59	0.83	0.10	asserted 0.84

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Original abstract

The near horizon geometry of four-dimensional black holes in the dilute gas regime is AdS_3 x S^2, and the global symmetry group is SU(2) x USp(6). This is exploited to calculate their perturbation spectrum using group theoretical methods. The result is interpreted in terms of three extreme M5-branes, orthogonally intersecting over a common string. We also consider N=8 black holes in five dimensions, and compute the spectrum by explicit decoupling of the equations of motion, extending recent work on N=4 black holes. This result is interpreted in terms of D1- and D5-branes that are wrapped on a small four-torus. The spectra are compared with string theory.

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Cited by 13 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

The Resolved Elliptic Genus and the D1-D5 CFT
hep-th 2026-03 unverdicted novelty 8.0 of 10

The resolved elliptic genus refines the supersymmetry index for the D1-D5 CFT by summing only over symmetry sectors that mix under a deformed supercharge, yielding agreement with supergravity below the black-hole thre...
U(1) Charges and Moduli in the D1-D5 System
hep-th 1999-05 accept novelty 7.0 of 10

The D1-D5 conformal field theory's moduli space has one weakly coupled cusp for each factorization of N into D1 and D5 charges, with the singular loci forming arcs that connect pairs of cusps.
Holographic covering and the fortuity of black holes
hep-th 2024-02 conditional novelty 6.0 of 10

BPS states in holographic CFTs split into monotone states dual to smooth horizonless geometries and fortuitous states that carry the black hole entropy.
Supercharging Superstrata
hep-th 2018-12 accept novelty 6.0 of 10

Acting twice with the fermionic generators of the AdS3 x S3 supergroup on a two-charge seed produces a new, simpler class of smooth horizonless D1-D5-P microstate geometries whose charges match the dual CFT.
Momentum Fractionation on Superstrata
hep-th 2016-01 accept novelty 6.0 of 10

Explicit horizonless supergravity solutions are built whose dual CFT states carry momentum in fractionally moded oscillators, the first asymptotically flat examples of this kind.

Show 8 more citing papers

Two-dimensional SCFTs from wrapped branes and c-extremization
hep-th 2013-02 accept novelty 6.0 of 10

c-extremization fixes the exact R-symmetry and central charges of 2d N=(0,2) SCFTs from wrapped branes, and the results match independently built AdS3 supergravity duals.
The chiral ring of AdS3/CFT2 and the attractor mechanism
hep-th 2008-09 conditional novelty 6.0 of 10

In N=(4,4) superconformal field theories the chiral ring is covariantly constant over the moduli space, giving an exact non-renormalization theorem for chiral-primary three-point functions in AdS3/CFT2.
Partition functions and elliptic genera from supergravity
hep-th 2006-07 accept novelty 6.0 of 10

The elliptic genus of string/M-theory on AdS3 can be computed from bulk supergravity as a sum over geometries, reproducing the CFT Farey tail expansion.
Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field Theory
hep-th 1998-06 conditional novelty 6.0 of 10

The Kaluza-Klein spectrum of 6d supergravity on S^3 x AdS_3 agrees with the K3^N/S_N orbifold CFT, and the non-chiral primaries Vafa counted via the elliptic genus arise as products of descendants of chiral primaries.
Chiral anomalies and AdS/CMT in two dimensions
hep-th 2010-12 conditional novelty 4.0 of 10

Two-dimensional current correlators are fixed by the chiral anomaly, and the bulk dual of a 2d gauge theory with an external current carries a new Weyl anomaly that renormalizes the charged BTZ black hole.
Fuzzballs and Microstate Geometries: Black-Hole Structure in String Theory
hep-th 2022-04 conditional novelty 2.0 of 10

String theory replaces black holes with horizonless fuzzballs, and this, the authors argue, resolves the black-hole information paradox.
Superstrata
hep-th 2020-02 accept novelty 2.0 of 10

Superstrata are reviewed as the most general D1-D5-P microstate geometries with identified CFT duals, built by solving the BPS equations in three linear layers and completed nonlinearly by coiffuring.
Lectures on black holes and the AdS_3 / CFT_2 correspondence
hep-th 2006-09 conditional novelty 2.0 of 10

The lectures show that AdS3 black-hole entropy and partition functions match a dual CFT once central charges are fixed by anomalies, with higher-derivative and Farey-tail corrections included.

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13 arXiv papers cite this in 21 sentences

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Papers citing it · 17 sentences without a confident label

Cites it as background 4 papers

(ii) Different aspects of perturbative superstring theory and supergravity in T^4/K3 have been emphasized in various studies over the years, including the subtleties of the GSO projection [ref] , the periodicity conditions of [ref] in the thermal theory, the spacetime symmetry superalgebra [ref] , and the low-energy effective supergravity [ref] .

Strings in AdS$_3$: one-loop partition function and near-extremal BTZ thermodynamics · Introduction · 0.95
There is considerable evidence that there is a locus in moduli space at which the theory is a sigma model with target space $ℳ^N/S_N$, where $S_N$ is the symmetric group; for some early work, see e.g. [ref] .[Recent work has explored a stringy version of this duality in the S-dual NS5-F1 system, for the case of a single NS5-brane; see [ref] and references within.]

Supercharged AdS${}_3$ Holography · D1-D5 CFT and structure of short multiplets · 0.88
The spectrum of linearized supergravity on AdS$_3×^3$ and its relation to the symmetric product was worked out in [ref] (see also [ref] ).

Momentum Fractionation on Superstrata · 4 operators: Linearized supergravity modes · 0.96

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