Integrability and black-hole microstate geometries

Bena, Iosif; Turton, David; Walker, Robert; Warner, Nicholas P.

doi:10.1007/jhep11(2017)021

Title: Integrability and black-hole microstate geometries

Abstract

We examine some recently-constructed families of asymptotically-AdS₃ × S3 supergravity solutions that have the same charges and mass as supersymmetric D1-D5- P black holes, but that cap off smoothly with no horizon. These solutions, known as superstrata, are quite complicated, however we show that, for an infinite family of solutions, the null geodesic problem is completely integrable, due to the existence of a non-trivial conformal Killing tensor that provides a quadratic conservation law for null geodesics. This implies that the massless scalar wave equation is separable. For another infinite family of solutions, we find that there is a non-trivial conformal Killing tensor only when the left-moving angular momentum of the massless scalar is zero. We also show that, for both these families, the metric degrees of freedom have the form they would take if they arose from a consistent truncation on S³ down to a (2 + 1)-dimensional space-time. We discuss some of the broader consequences of these special properties for the physics of these black-hole microstate geometries.

Authors:

Bena, Iosif ^[1];

^[1]; Walker, Robert ^[2]; Warner, Nicholas P. ^[3]

Univ. Paris Saclay, CEA, CNRS, Yvette (France). Inst. de Physique Theorique
Univ. of Southern California, Los Angeles, CA (United States). Dept. of Physics and Astronomy
Univ. of Southern California, Los Angeles, CA (United States). Dept. of Physics and Astronomy and Dept. of Mathematics

Publication Date:: Tue Nov 07 00:00:00 EST 2017

Research Org.:: Univ. of Southern California, Los Angeles (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1499255

Grant/Contract Number:: SC0011687

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 11; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Bena, Iosif, Turton, David, Walker, Robert, and Warner, Nicholas P. Integrability and black-hole microstate geometries.  United States: N. p., 2017. 
Web.  doi:10.1007/jhep11(2017)021.

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                    Bena, Iosif, Turton, David, Walker, Robert, & Warner, Nicholas P. Integrability and black-hole microstate geometries.  United States.  https://doi.org/10.1007/jhep11(2017)021

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                    Bena, Iosif, Turton, David, Walker, Robert, and Warner, Nicholas P. Tue .  
"Integrability and black-hole microstate geometries".  United States.  https://doi.org/10.1007/jhep11(2017)021.  https://www.osti.gov/servlets/purl/1499255.

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@article{osti_1499255,

  title        = {Integrability and black-hole microstate geometries},

  author       = {Bena, Iosif and Turton, David and Walker, Robert and Warner, Nicholas P.},

  abstractNote = {We examine some recently-constructed families of asymptotically-AdS3 × S3 supergravity solutions that have the same charges and mass as supersymmetric D1-D5- P black holes, but that cap off smoothly with no horizon. These solutions, known as superstrata, are quite complicated, however we show that, for an infinite family of solutions, the null geodesic problem is completely integrable, due to the existence of a non-trivial conformal Killing tensor that provides a quadratic conservation law for null geodesics. This implies that the massless scalar wave equation is separable. For another infinite family of solutions, we find that there is a non-trivial conformal Killing tensor only when the left-moving angular momentum of the massless scalar is zero. We also show that, for both these families, the metric degrees of freedom have the form they would take if they arose from a consistent truncation on S3 down to a (2 + 1)-dimensional space-time. We discuss some of the broader consequences of these special properties for the physics of these black-hole microstate geometries.},

  doi          = {10.1007/jhep11(2017)021},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 11,

  volume       = 2017,

  place        = {United States},

  year         = {Tue Nov 07 00:00:00 EST 2017},

  month        = {Tue Nov 07 00:00:00 EST 2017}

}

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Title: Integrability and black-hole microstate geometries

Abstract

Citation Formats

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A rough end for smooth microstate geometries journal, May 2017

Superdescendants of the D1D5 CFT and their dual 3-charge geometries journal, March 2014

All supersymmetric solutions of minimal supergravity in six dimensions journal, October 2003

Momentum fractionation on superstrata journal, May 2016

Echoes of chaos from string theory black holes journal, March 2017

Hamilton-Jacobi and Schrodinger Separable Solutions of Einstein’s Equations journal, December 1968

D1-D5-P microstates at the cap journal, February 2013

Instability of supersymmetric microstate geometries text, January 2016

The general form of supersymmetric solutions of N = (1, 0) U (1) and SU (2) gauged supergravities in six dimensions journal, June 2004

Holographic description of non-supersymmetric orbifolded D1-D5-P solutions journal, November 2015

(Non)-integrability of geodesics in D-brane backgrounds journal, February 2014

Double, Double Supertube Bubble text, January 2011

New D1-D5-P geometries from string amplitudes text, January 2011

Supersymmetric Solutions in Six Dimensions: A Linear Structure text, January 2011

Doubly-Fluctuating BPS Solutions in Six Dimensions text, January 2013

6D microstate geometries from 10D structures text, January 2013

The flaw in the firewall argument text, January 2013

Superdescendants of the D1D5 CFT and their dual 3-charge geometries text, January 2013

Floating JMaRT text, January 2014

Virasoro Conformal Blocks and Thermality from Classical Background Fields text, January 2015

A bound on chaos text, January 2015

Habemus Superstratum! A constructive proof of the existence of superstrata text, January 2015

Killing(-Yano) Tensors in String Theory text, January 2015

Holographic description of non-supersymmetric orbifolded D1-D5-P solutions text, January 2015

Non-BPS multi-bubble microstate geometries text, January 2015

Correlators at large c without information loss text, January 2016

Smooth horizonless geometries deep inside the black-hole regime text, January 2016

Instability of supersymmetric microstate geometries text, January 2016

Bolting Multicenter Solutions text, January 2016

Echoes of chaos from string theory black holes text, January 2016

A rough end for smooth microstate geometries text, January 2016

Geodesics in supersymmetric microstate geometries text, January 2017

Holographic 4-point correlators with heavy states text, January 2017

The slowly rotating near extremal D1-D5 system as a `hot tube' text, January 2001

All supersymmetric solutions of minimal supergravity in six dimensions text, January 2003

The general form of supersymmetric solutions of N=(1,0) U(1) and SU(2) gauged supergravities in six dimensions text, January 2004

3-charge geometries and their CFT duals text, January 2004

Massless black holes and black rings as effective geometries of the D1-D5 system text, January 2005

Aspects of N=2 Supersymmetric Gauge Theories in Three Dimensions text, January 1997

Risk factors, perceptions and practices associated with Taenia solium cysticercosis and its control in the smallholder pig production systems in Uganda: a cross-sectional survey journal, January 2017

The flaw in the firewall argument text, January 2013

Perturbative 3-charge microstate geometries in six dimensions text, January 2013

A supersymmetric reduction on the three-sphere text, January 2014

Supersymmetric Conical Defects: Towards a string theoretic description of black hole formation text, January 2000

The general form of supersymmetric solutions of N=(1,0) U(1) and SU(2) gauged supergravities in six dimensions text, January 2004

Greybody Factors for Black Holes in Four Dimensions: Particles with Spin text, January 1997

The dark side of fuzzball geometries journal, May 2019

Two kissing bolts journal, February 2018

Tidal stresses and energy gaps in microstate geometries journal, February 2018

One point functions for black hole microstates journal, July 2019

AdS2 holography: mind the cap journal, December 2018

Echoes of Kerr-like wormholes journal, January 2018

Thermal decay without information loss in horizonless microstate geometries journal, January 2019

AdS3 four-point functions from 1 8 $$ \frac{1}{8} $$ -BPS states journal, June 2019

Correlation functions in the D1-D5 orbifold CFT journal, June 2018

Virasoro conformal blocks and thermality from classical background fields
journal, November 2015

Geodesics in supersymmetric microstate geometries
journal, July 2017

Instability of supersymmetric microstate geometries
journal, October 2016

supersymmetric RG flows and the IIB dilaton
journal, January 2001

Aspects of N = 2 supersymmetric gauge theories in three dimensions
journal, August 1997

De-singularization by rotation
journal, December 2002

Black hole collapse in the 1/c expansion
journal, July 2016

Metric of the multiply wound rotating string
journal, September 2001

3-charge geometries and their CFT duals
journal, March 2005

Supersymmetric solutions in six dimensions: a linear structure
journal, March 2012

A numerical approach to Virasoro blocks and the information paradox
journal, September 2017

Supertubes
journal, June 2001

Smooth Horizonless Geometries Deep Inside the Black-Hole Regime
journal, November 2016

Supergravity supertubes
journal, July 2001

A bound on chaos
journal, August 2016

6D microstate geometries from 10D structures
journal, November 2013

The Large-N Limit of Superconformal Field Theories and Supergravity
journal, January 1999

The flaw in the firewall argument
journal, July 2014

Global Structure of the Kerr Family of Gravitational Fields
journal, October 1968

Massless black holes and black rings as effective geometries of the D1–D5 system
journal, October 2005

The embedding of gauged N = 8 supergravity into d = 11 supergravity
journal, January 1985

Habemus superstratum! A constructive proof of the existence of superstrata
journal, May 2015

A rough end for smooth microstate geometries
journal, May 2017

Superdescendants of the D1D5 CFT and their dual 3-charge geometries
journal, March 2014

All supersymmetric solutions of minimal supergravity in six dimensions
journal, October 2003

Momentum fractionation on superstrata
journal, May 2016

Echoes of chaos from string theory black holes
journal, March 2017

Hamilton-Jacobi and Schrodinger Separable Solutions of Einstein’s Equations
journal, December 1968

D1-D5-P microstates at the cap
journal, February 2013

Instability of supersymmetric microstate geometries
text, January 2016

The general form of supersymmetric solutions of N = (1, 0) U (1) and SU (2) gauged supergravities in six dimensions
journal, June 2004

Holographic description of non-supersymmetric orbifolded D1-D5-P solutions
journal, November 2015

(Non)-integrability of geodesics in D-brane backgrounds
journal, February 2014

Double, Double Supertube Bubble
text, January 2011

New D1-D5-P geometries from string amplitudes
text, January 2011

Supersymmetric Solutions in Six Dimensions: A Linear Structure
text, January 2011

Doubly-Fluctuating BPS Solutions in Six Dimensions
text, January 2013

6D microstate geometries from 10D structures
text, January 2013

The flaw in the firewall argument
text, January 2013

Superdescendants of the D1D5 CFT and their dual 3-charge geometries
text, January 2013

Floating JMaRT
text, January 2014

Virasoro Conformal Blocks and Thermality from Classical Background Fields
text, January 2015

A bound on chaos
text, January 2015

Habemus Superstratum! A constructive proof of the existence of superstrata
text, January 2015

Killing(-Yano) Tensors in String Theory
text, January 2015

Holographic description of non-supersymmetric orbifolded D1-D5-P solutions
text, January 2015

Non-BPS multi-bubble microstate geometries
text, January 2015

Correlators at large c without information loss
text, January 2016

Smooth horizonless geometries deep inside the black-hole regime
text, January 2016

Instability of supersymmetric microstate geometries
text, January 2016

Bolting Multicenter Solutions
text, January 2016

Echoes of chaos from string theory black holes
text, January 2016

A rough end for smooth microstate geometries
text, January 2016

Geodesics in supersymmetric microstate geometries
text, January 2017

Holographic 4-point correlators with heavy states
text, January 2017

The slowly rotating near extremal D1-D5 system as a `hot tube'
text, January 2001

All supersymmetric solutions of minimal supergravity in six dimensions
text, January 2003

The general form of supersymmetric solutions of N=(1,0) U(1) and SU(2) gauged supergravities in six dimensions
text, January 2004

3-charge geometries and their CFT duals
text, January 2004

Massless black holes and black rings as effective geometries of the D1-D5 system
text, January 2005

Aspects of N=2 Supersymmetric Gauge Theories in Three Dimensions
text, January 1997

Risk factors, perceptions and practices associated with Taenia solium cysticercosis and its control in the smallholder pig production systems in Uganda: a cross-sectional survey
journal, January 2017

The flaw in the firewall argument
text, January 2013

Perturbative 3-charge microstate geometries in six dimensions
text, January 2013

A supersymmetric reduction on the three-sphere
text, January 2014

Supersymmetric Conical Defects: Towards a string theoretic description of black hole formation
text, January 2000

The general form of supersymmetric solutions of N=(1,0) U(1) and SU(2) gauged supergravities in six dimensions
text, January 2004

Greybody Factors for Black Holes in Four Dimensions: Particles with Spin
text, January 1997

The dark side of fuzzball geometries
journal, May 2019

Two kissing bolts
journal, February 2018

Tidal stresses and energy gaps in microstate geometries
journal, February 2018

One point functions for black hole microstates
journal, July 2019

AdS2 holography: mind the cap
journal, December 2018

Echoes of Kerr-like wormholes
journal, January 2018

Thermal decay without information loss in horizonless microstate geometries
journal, January 2019

AdS3 four-point functions from 1 8 $$ \frac{1}{8} $$ -BPS states
journal, June 2019

Correlation functions in the D1-D5 orbifold CFT
journal, June 2018

Two Kissing Bolts
text, January 2017

AdS$_2$ Holography: Mind the Cap
text, January 2018

The dark side of fuzzball geometries
text, January 2018