Habemus superstratum! A constructive proof of the existence of superstrata
Abstract
Here, we construct the first example of a superstratum: a class of smooth horizonless supergravity solutions that are parameterized by arbitrary continuous functions of (at least) two variables and have the same charges as the supersymmetric D1-D5-P black hole. We work in Type IIB string theory on T4 or K3 and our solutions involve a subset of fields that can be described by a six-dimensional supergravity with two tensor multiplets. The solutions can thus be constructed using a linear structure, and we give an explicit recipe to start from a superposition of modes specified by an arbitrary function of two variables and impose regularity to obtain the full horizonless solutions in closed form. We also give the precise CFT description of these solutions and show that they are not dual to descendants of chiral primaries. They are thus much more general than all the known solutions whose CFT dual is precisely understood. Hence our construction represents a substantial step toward the ultimate goal of constructing the fully generic superstratum that can account for a finite fraction of the entropy of the three-charge black hole in the regime of parameters where the classical black hole solution exists.
- Authors:
-
- Commissariat a l'Energie Atomique et aux Energies Alternatives (CEA), Saclay (France). Inst. de Physique Theorique (IPhT)
- Univ. di Padova (Italy). Dept. di Fisica ed Astronomia "Galileo Galilei"; Istituto Nazionale di Fisica Nucleare (INFN), Padova (Italy)
- Queen Mary Univ. of London (United Kingdom). Centre for Research in String Theory, School of Physics and Astronomy
- Kyoto Univ. (Japan). Yukawa Inst. for Theoretical Physics; Kyoto Univ. (Japan). Hakubi Center
- Univ. of Southern California, Los Angeles, CA (United States). Dept. of Physics and Astronomy
- Publication Date:
- Research Org.:
- Univ. of Southern California, Los Angeles, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1455066
- Grant/Contract Number:
- SC0011687
- Resource Type:
- Journal Article: Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Volume: 2015; Journal Issue: 5; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS; Black Holes in String Theory; AdS-CFT Correspondence; Supergravity Models
Citation Formats
Bena, Iosif, Giusto, Stefano, Russo, Rodolfo, Shigemori, Masaki, and Warner, Nicholas P. Habemus superstratum! A constructive proof of the existence of superstrata. United States: N. p., 2015.
Web. doi:10.1007/JHEP05(2015)110.
Bena, Iosif, Giusto, Stefano, Russo, Rodolfo, Shigemori, Masaki, & Warner, Nicholas P. Habemus superstratum! A constructive proof of the existence of superstrata. United States. https://doi.org/10.1007/JHEP05(2015)110
Bena, Iosif, Giusto, Stefano, Russo, Rodolfo, Shigemori, Masaki, and Warner, Nicholas P. 2015.
"Habemus superstratum! A constructive proof of the existence of superstrata". United States. https://doi.org/10.1007/JHEP05(2015)110. https://www.osti.gov/servlets/purl/1455066.
@article{osti_1455066,
title = {Habemus superstratum! A constructive proof of the existence of superstrata},
author = {Bena, Iosif and Giusto, Stefano and Russo, Rodolfo and Shigemori, Masaki and Warner, Nicholas P.},
abstractNote = {Here, we construct the first example of a superstratum: a class of smooth horizonless supergravity solutions that are parameterized by arbitrary continuous functions of (at least) two variables and have the same charges as the supersymmetric D1-D5-P black hole. We work in Type IIB string theory on T4 or K3 and our solutions involve a subset of fields that can be described by a six-dimensional supergravity with two tensor multiplets. The solutions can thus be constructed using a linear structure, and we give an explicit recipe to start from a superposition of modes specified by an arbitrary function of two variables and impose regularity to obtain the full horizonless solutions in closed form. We also give the precise CFT description of these solutions and show that they are not dual to descendants of chiral primaries. They are thus much more general than all the known solutions whose CFT dual is precisely understood. Hence our construction represents a substantial step toward the ultimate goal of constructing the fully generic superstratum that can account for a finite fraction of the entropy of the three-charge black hole in the regime of parameters where the classical black hole solution exists.},
doi = {10.1007/JHEP05(2015)110},
url = {https://www.osti.gov/biblio/1455066},
journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
number = 5,
volume = 2015,
place = {United States},
year = {Thu May 21 00:00:00 EDT 2015},
month = {Thu May 21 00:00:00 EDT 2015}
}
Web of Science
Works referenced in this record:
Holographic anatomy of fuzzballs
journal, April 2007
- Kanitscheider, Ingmar; Skenderis, Kostas; Taylor, Marika
- Journal of High Energy Physics, Vol. 2007, Issue 04
Bubbling the newly grown black ring hair
journal, May 2012
- Vasilakis, Orestis
- Journal of High Energy Physics, Vol. 2012, Issue 5
Exotic branes in string theory
journal, November 2013
- de Boer, Jan; Shigemori, Masaki
- Physics Reports, Vol. 532, Issue 3
Adding new hair to the 3-charge black ring
journal, March 2012
- Giusto, Stefano; Russo, Rodolfo
- Classical and Quantum Gravity, Vol. 29, Issue 8
An apologia for firewalls
journal, September 2013
- Almheiri, Ahmed; Marolf, Donald; Polchinski, Joseph
- Journal of High Energy Physics, Vol. 2013, Issue 9
Moulting Black Holes
journal, March 2012
- Bena, Iosif; Chowdhury, Borun D.; de Boer, Jan
- Journal of High Energy Physics, Vol. 2012, Issue 3
Doubly-fluctuating BPS solutions in six dimensions
journal, October 2013
- Niehoff, Benjamin E.; Warner, Nicholas P.
- Journal of High Energy Physics, Vol. 2013, Issue 10
Unitarity and fuzzball complementarity: “Alice fuzzes but may not even know it!”
journal, September 2013
- Avery, Steven G.; Chowdhury, Borun D.; Puhm, Andrea
- Journal of High Energy Physics, Vol. 2013, Issue 9
Tensor and vector multiplets in six-dimensional supergravity
journal, May 1998
- Ferrara, Sergio; Riccioni, Fabio; Sagnotti, Augusto
- Nuclear Physics B, Vol. 519, Issue 1-2
Oscillating supertubes and neutral rotating black hole microstates
journal, April 2014
- Mathur, Samir D.; Turton, David
- Journal of High Energy Physics, Vol. 2014, Issue 4
Metric of the multiply wound rotating string
journal, September 2001
- Lunin, Oleg; Mathur, Samir D.
- Nuclear Physics B, Vol. 610, Issue 1-2
Non-extremal black hole microstates: fuzzballs of fire or fuzzballs of fuzz?
journal, December 2012
- Bena, Iosif; Puhm, Andrea; Vercnocke, Bert
- Journal of High Energy Physics, Vol. 2012, Issue 12
Perturbative superstrata
journal, April 2013
- Giusto, Stefano; Russo, Rodolfo
- Nuclear Physics B, Vol. 869, Issue 2
3-charge geometries and their CFT duals
journal, March 2005
- Giusto, Stefano; Mathur, Samir D.; Saxena, Ashish
- Nuclear Physics B, Vol. 710, Issue 1-2
Supergravity microstates for BPS black holes and black rings
journal, June 2006
- Berglund, Per; Gimon, Eric G.; Levi, Thomas S.
- Journal of High Energy Physics, Vol. 2006, Issue 06
AdS/CFT duality and the black hole information paradox
journal, February 2002
- Lunin, Oleg; Mathur, Samir D.
- Nuclear Physics B, Vol. 623, Issue 1-2
New D1-D5-P geometries from string amplitudes
journal, November 2011
- Giusto, Stefano; Russo, Rodolfo; Turton, David
- Journal of High Energy Physics, Vol. 2011, Issue 11
Supersymmetric solutions in six dimensions: a linear structure
journal, March 2012
- Bena, Iosif; Giusto, Stefano; Shigemori, Masaki
- Journal of High Energy Physics, Vol. 2012, Issue 3
AdS 3 black holes and a stringy exclusion principle
journal, December 1998
- Maldacena, Juan; Strominger, Andrew
- Journal of High Energy Physics, Vol. 1998, Issue 12
Perturbative 3-charge microstate geometries in six dimensions
journal, October 2013
- Shigemori, Masaki
- Journal of High Energy Physics, Vol. 2013, Issue 10
Adding momentum to supersymmetric geometries
journal, March 2013
- Lunin, Oleg; Mathur, Samir D.; Turton, David
- Nuclear Physics B, Vol. 868, Issue 2
Supertubes in bubbling backgrounds: Born-Infeld meets supergravity
journal, July 2009
- Bena, Iosif; Bobev, Nikolay; Ruef, Clément
- Journal of High Energy Physics, Vol. 2009, Issue 07
Supertubes
journal, June 2001
- Mateos, David; Townsend, Paul K.
- Physical Review Letters, Vol. 87, Issue 1
Multi-superthreads and supersheets
journal, April 2013
- Niehoff, Benjamin E.; Vasilakis, Orestis; Warner, Nicholas P.
- Journal of High Energy Physics, Vol. 2013, Issue 4
On the oscillation of species
journal, September 2014
- Bena, Iosif; Ross, Simon F.; Warner, Nicholas P.
- Journal of High Energy Physics, Vol. 2014, Issue 9
A class of BPS time-dependent 3-charge microstates from spectral flow
journal, February 2008
- Ford, Jon; Giusto, Stefano; Saxena, Ashish
- Nuclear Physics B, Vol. 790, Issue 1-2
Double, double supertube bubble
journal, October 2011
- Bena, Iosif; de Boer, Jan; Shigemori, Masaki
- Journal of High Energy Physics, Vol. 2011, Issue 10
Constructing ‘hair’ for the three charge hole
journal, March 2004
- Mathur, Samir D.; Saxena, Ashish; Srivastava, Yogesh
- Nuclear Physics B, Vol. 680, Issue 1-3
Microstates at the boundary of AdS
journal, May 2012
- Mathur, Samir D.; Turton, David
- Journal of High Energy Physics, Vol. 2012, Issue 5
Supergravity supertubes
journal, July 2001
- Emparan, Roberto; Mateos, David; Townsend, Paul K.
- Journal of High Energy Physics, Vol. 2001, Issue 07
Fuzzballs with internal excitations
journal, June 2007
- Kanitscheider, Ingmar; Skenderis, Kostas; Taylor, Marika
- Journal of High Energy Physics, Vol. 2007, Issue 06
Global structure of five-dimensional fuzzballs
journal, December 2013
- Gibbons, G. W.; Warner, N. P.
- Classical and Quantum Gravity, Vol. 31, Issue 2
D-branes and spinning black holes
journal, January 1997
- Breckenridge, J. C.; Myers, R. C.; Peet, A. W.
- Physics Letters B, Vol. 391, Issue 1-2
Mergers and typical black hole microstates
journal, November 2006
- Bena, Iosif; Wang, Chih-Wei; Warner, Nicholas P.
- Journal of High Energy Physics, Vol. 2006, Issue 11
6D microstate geometries from 10D structures
journal, November 2013
- Giusto, Stefano; Martucci, Luca; Petrini, Michela
- Nuclear Physics B, Vol. 876, Issue 2
Exotic Branes and Nongeometric Backgrounds
journal, June 2010
- de Boer, Jan; Shigemori, Masaki
- Physical Review Letters, Vol. 104, Issue 25
Black holes: complementarity or firewalls?
journal, February 2013
- Almheiri, Ahmed; Marolf, Donald; Polchinski, Joseph
- Journal of High Energy Physics, Vol. 2013, Issue 2
Cool horizons for entangled black holes
journal, August 2013
- Maldacena, J.; Susskind, L.
- Fortschritte der Physik, Vol. 61, Issue 9
The flaw in the firewall argument
journal, July 2014
- Mathur, Samir D.; Turton, David
- Nuclear Physics B, Vol. 884
The fuzzball proposal for black holes
journal, October 2008
- Skenderis, Kostas; Taylor, Marika
- Physics Reports, Vol. 467, Issue 4-5
Plumbing the abyss: black ring microstates
journal, July 2008
- Bena, Iosif; Wang, Chih-Wei; Warner, Nicholas P.
- Journal of High Energy Physics, Vol. 2008, Issue 07
Superdescendants of the D1D5 CFT and their dual 3-charge geometries
journal, March 2014
- Giusto, Stefano; Russo, Rodolfo
- Journal of High Energy Physics, Vol. 2014, Issue 3
All supersymmetric solutions of minimal supergravity in six dimensions
journal, October 2003
- Gutowski, Jan B.; Martelli, Dario; Reall, Harvey S.
- Classical and Quantum Gravity, Vol. 20, Issue 23
Coiffured black rings
journal, August 2014
- Bena, Iosif; Ross, Simon F.; Warner, Nicholas P.
- Classical and Quantum Gravity, Vol. 31, Issue 16
The information paradox: a pedagogical introduction
journal, October 2009
- Mathur, Samir D.
- Classical and Quantum Gravity, Vol. 26, Issue 22
Comments on black holes I: the possibility of complementarity
journal, January 2014
- Mathur, Samir D.; Turton, David
- Journal of High Energy Physics, Vol. 2014, Issue 1
Compactification of D = 11 supergravity on spaces of exceptional holonomy
journal, September 1995
- Papadopoulos, G.; Townsend, P. K.
- Physics Letters B, Vol. 357, Issue 3
D1-D5-P microstates at the cap
journal, February 2013
- Giusto, Stefano; Lunin, Oleg; Mathur, Samir D.
- Journal of High Energy Physics, Vol. 2013, Issue 2
Black holes as effective geometries
journal, October 2008
- Balasubramanian, Vijay; de Boer, Jan; El-Showk, Sheer
- Classical and Quantum Gravity, Vol. 25, Issue 21
Self-duality for interacting fields: Covariant field equations for six-dimensional chiral supergravities
journal, October 1986
- Romans, L. J.
- Nuclear Physics B, Vol. 276, Issue 1
Black-hole entropy from supergravity superstrata states
journal, October 2014
- Bena, Iosif; Shigemori, Masaki; Warner, Nicholas P.
- Journal of High Energy Physics, Vol. 2014, Issue 10
11-Dimensional supergravity compactified on Calabi-Yau threefolds
journal, August 1995
- Cadavid, A. C.; Ceresole, A.; D'Auria, R.
- Physics Letters B, Vol. 357, Issue 1-2
A bound on the entropy of supergravity?
journal, February 2010
- de Boer, Jan; El-Showk, Sheer; Messamah, Ilies
- Journal of High Energy Physics, Vol. 2010, Issue 2
A non-renormalization theorem for chiral primary 3-point functions
journal, July 2012
- Baggio, Marco; de Boer, Jan; Papadodimas, Kyriakos
- Journal of High Energy Physics, Vol. 2012, Issue 7
Corrugated multi-supersheets
journal, July 2013
- Vasilakis, Orestis
- Journal of High Energy Physics, Vol. 2013, Issue 7
The general form of supersymmetric solutions of N = (1, 0) U (1) and SU (2) gauged supergravities in six dimensions
journal, June 2004
- Cariglia, Marco; Conamhna, Oisín A. P. Mac
- Classical and Quantum Gravity, Vol. 21, Issue 13
Better Late than Never: Information Retrieval from Black Holes
journal, March 2013
- Braunstein, Samuel L.; Pirandola, Stefano; Życzkowski, Karol
- Physical Review Letters, Vol. 110, Issue 10
Dual geometries for a set of 3-charge microstates
journal, November 2004
- Giusto, Stefano; Mathur, Samir D.; Saxena, Ashish
- Nuclear Physics B, Vol. 701, Issue 1-2
What is the gravity dual of a chiral primary?
journal, April 2003
- Lunin, Oleg; Mathur, Samir D.; Saxena, Ashish
- Nuclear Physics B, Vol. 655, Issue 1-2
Fuzzballs with internal excitations
text, January 2007
- Kanitscheider, Ingmar; Skenderis, Kostas; Taylor, Marika
- arXiv
Plumbing the Abyss: Black Ring Microstates
text, January 2007
- Bena, Iosif; Wang, Chih-Wei; Warner, Nicholas P.
- arXiv
Black Holes as Effective Geometries
text, January 2008
- Balasubramanian, Vijay; de Boer, Jan; El-Showk, Sheer
- arXiv
Supertubes in Bubbling Backgrounds: Born-Infeld Meets Supergravity
text, January 2008
- Bena, Iosif; Bobev, Nikolay; Ruef, Clement
- arXiv
Better Late than Never: Information Retrieval from Black Holes
text, January 2009
- Braunstein, Samuel L.; Pirandola, Stefano; Życzkowski, Karol
- arXiv
Exotic branes and non-geometric backgrounds
text, January 2010
- de Boer, Jan; Shigemori, Masaki
- arXiv
Double, Double Supertube Bubble
text, January 2011
- Bena, Iosif; de Boer, Jan; Shigemori, Masaki
- arXiv
New D1-D5-P geometries from string amplitudes
text, January 2011
- Giusto, Stefano; Russo, Rodolfo; Turton, David
- arXiv
Supersymmetric Solutions in Six Dimensions: A Linear Structure
text, January 2011
- Bena, Iosif; Giusto, Stefano; Shigemori, Masaki
- arXiv
A non-renormalization theorem for chiral primary 3-point functions
text, January 2012
- Baggio, Marco; de Boer, Jan; Papadodimas, Kyriakos
- arXiv
Multi-Superthreads and Supersheets
text, January 2012
- Niehoff, Benjamin E.; Vasilakis, Orestis; Warner, Nicholas P.
- arXiv
Adding momentum to supersymmetric geometries
text, January 2012
- Lunin, Oleg; Mathur, Samir D.; Turton, David
- arXiv
Unitarity and fuzzball complementarity: "Alice fuzzes but may not even know it!"
text, January 2012
- Avery, Steven G.; Chowdhury, Borun D.; Puhm, Andrea
- arXiv
Doubly-Fluctuating BPS Solutions in Six Dimensions
text, January 2013
- Niehoff, Benjamin E.; Warner, Nicholas P.
- arXiv
6D microstate geometries from 10D structures
text, January 2013
- Giusto, Stefano; Martucci, Luca; Petrini, Michela
- arXiv
Superdescendants of the D1D5 CFT and their dual 3-charge geometries
text, January 2013
- Giusto, Stefano; Russo, Rodolfo
- arXiv
AdS/CFT duality and the black hole information paradox
text, January 2001
- Lunin, Oleg; Mathur, Samir D.
- arXiv
What is the gravity dual of a chiral primary?
text, January 2002
- Lunin, Oleg; Mathur, Samir D.; Saxena, Ashish
- arXiv
All supersymmetric solutions of minimal supergravity in six dimensions
text, January 2003
- Gutowski, Jan B.; Martelli, Dario; Reall, Harvey S.
- arXiv
The general form of supersymmetric solutions of N=(1,0) U(1) and SU(2) gauged supergravities in six dimensions
text, January 2004
- Cariglia, Marco; Mac Conamhna, Oisin A. P.
- arXiv
Dual geometries for a set of 3-charge microstates
text, January 2004
- Giusto, Stefano; Mathur, Samir D.; Saxena, Ashish
- arXiv
3-charge geometries and their CFT duals
text, January 2004
- Giusto, Stefano; Mathur, Samir D.; Saxena, Ashish
- arXiv
Supergravity Microstates for BPS Black Holes and Black Rings
text, January 2005
- Berglund, Per; Gimon, Eric G.; Levi, Thomas S.
- arXiv
Holographic anatomy of fuzzballs
text, January 2006
- Kanitscheider, I.; Skenderis, K.; Taylor, M.
- arXiv
Compactification of D=11 supergravity on spaces of exceptional holonomy
text, January 1995
- Papadopoulos, G.; Townsend, P. K.
- arXiv
D--branes and Spinning Black Holes
text, January 1996
- Breckenridge, J. C.; Myers, R. C.; Peet, A. W.
- arXiv
AdS3 Black Holes and a Stringy Exclusion Principle
text, January 1998
- Maldacena, Juan; Strominger, Andrew
- arXiv
Works referencing / citing this record:
Global half-BPS AdS2 × S6 solutions in Type IIB
journal, March 2019
- Corbino, David; D’Hoker, Eric; Kaidi, Justin
- Journal of High Energy Physics, Vol. 2019, Issue 3
BPS solutions of six-dimensional (1, 0) supergravity coupled to tensor multiplets
journal, June 2018
- het Lam, Huibert; Vandoren, Stefan
- Journal of High Energy Physics, Vol. 2018, Issue 6
Probing fuzzballs with particles, waves and strings
journal, June 2018
- Bianchi, Massimo; Consoli, Dario; Morales, Jose Francisco
- Journal of High Energy Physics, Vol. 2018, Issue 6
Holographic correlators in AdS3 without Witten diagrams
journal, September 2019
- Giusto, Stefano; Russo, Rodolfo; Tyukov, Alexander
- Journal of High Energy Physics, Vol. 2019, Issue 9
One point functions for black hole microstates
journal, July 2019
- Garcia i. Tormo, Joan; Taylor, Marika
- General Relativity and Gravitation, Vol. 51, Issue 7
The structure of BPS equations for ambi-polar microstate geometries
journal, December 2018
- Tyukov, Alexander; Walker, Robert; Warner, Nicholas P.
- Classical and Quantum Gravity, Vol. 36, Issue 1
Three-charge superstrata with internal excitations
journal, February 2019
- Bakhshaei, Elaheh; Bombini, Alessandro
- Classical and Quantum Gravity, Vol. 36, Issue 5
The structure of all the supersymmetric solutions of ungauged $\mathcal{N}=(1,0),d=6$ supergravity
journal, May 2019
- Cano, Pablo A.; Ortín, Tomás
- Classical and Quantum Gravity, Vol. 36, Issue 12
Thermal decay without information loss in horizonless microstate geometries
journal, January 2019
- Bena, Iosif; Heidmann, Pierre; Monten, Ruben
- SciPost Physics, Vol. 7, Issue 5
AdS3 Holography for 1/4 and 1/8 BPS geometries
text, January 2015
- Giusto, Stefano; Moscato, Emanuele; Russo, Rodolfo
- arXiv
Smooth horizonless geometries deep inside the black-hole regime
text, January 2016
- Bena, Iosif; Giusto, Stefano; Martinec, Emil J.
- arXiv
Probing Fuzzballs with Particles, Waves and Strings
text, January 2017
- Bianchi, M.; Consoli, D.; Morales, J. F.
- arXiv
BPS Solutions of Six-Dimensional (1,0) Supergravity Coupled to Tensor Multiplets
text, January 2018
- Lam, Huibert het; Vandoren, Stefan
- arXiv
The structure of all the supersymmetric solutions of ungauged N = (1,0),d=6 supergravity
text, January 2018
- Cano, Pablo A.; Ortin, Tomas
- arXiv
AdS$_2$ Holography: Mind the Cap
text, January 2018
- Bena, Iosif; Heidmann, Pierre; Turton, David
- arXiv
The Structure of BPS Equations for Ambi-polar Microstate Geometries
text, January 2018
- Tyukov, Alexander; Walker, Robert; Warner, Nicholas P.
- arXiv
Three-charge superstrata with internal excitations
text, January 2018
- Bakhshaei, Elaheh; Bombini, Alessandro
- arXiv
The dark side of fuzzball geometries
text, January 2018
- Bianchi, Massimo; Consoli, Dario; Grillo, Alfredo
- arXiv
AdS$_3$ Holography at Dimension Two
text, January 2019
- Giusto, Stefano; Rawash, Sami; Turton, David
- arXiv
Thermal Decay without Information Loss in Horizonless Microstate Geometries
text, January 2019
- Bena, Iosif; Heidmann, Pierre; Monten, Ruben
- arXiv