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Habemus superstratum! A constructive proof of the existence of superstrata

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  • Published: 21 May 2015
  • Volume 2015, article number 110, (2015)
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Habemus superstratum! A constructive proof of the existence of superstrata
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  • Iosif Bena1,
  • Stefano Giusto2,3,
  • Rodolfo Russo4,
  • Masaki Shigemori5,6 &
  • …
  • Nicholas P. Warner7 

  • 581 Accesses

  • 134 Citations

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A preprint version of the article is available at arXiv.

Abstract

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 T 4 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.

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References

  1. I. Bena, J. de Boer, M. Shigemori and N.P. Warner, Double, double supertube bubble, JHEP 10 (2011) 116 [arXiv:1107.2650] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  2. J. de Boer and M. Shigemori, Exotic branes and non-geometric backgrounds, Phys. Rev. Lett. 104 (2010) 251603 [arXiv:1004.2521] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  3. D. Mateos and P.K. Townsend, Supertubes, Phys. Rev. Lett. 87 (2001) 011602 [hep-th/0103030] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  4. J. de Boer and M. Shigemori, Exotic branes in string theory, Phys. Rept. 532 (2013) 65 [arXiv:1209.6056] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  5. I. Bena, M. Shigemori and N.P. Warner, Black-hole entropy from supergravity superstrata states, JHEP 10 (2014) 140 [arXiv:1406.4506] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  6. S. Giusto, R. Russo and D. Turton, New D1-D5-P geometries from string amplitudes, JHEP 11 (2011) 062 [arXiv:1108.6331] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  7. S. Giusto and R. Russo, Perturbative superstrata, Nucl. Phys. B 869 (2013) 164 [arXiv:1211.1957] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  8. S. Giusto and R. Russo, Superdescendants of the D1-D5 CFT and their dual 3-charge geometries, JHEP 03 (2014) 007 [arXiv:1311.5536] [INSPIRE].

    Article  ADS  Google Scholar 

  9. B.E. Niehoff, O. Vasilakis and N.P. Warner, Multi-superthreads and supersheets, JHEP 04 (2013) 046 [arXiv:1203.1348] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  10. O. Lunin, S.D. Mathur and D. Turton, Adding momentum to supersymmetric geometries, Nucl. Phys. B 868 (2013) 383 [arXiv:1208.1770] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  11. O. Vasilakis, Corrugated multi-supersheets, JHEP 07 (2013) 008 [arXiv:1302.1241] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  12. B.E. Niehoff and N.P. Warner, Doubly-fluctuating BPS solutions in six dimensions, JHEP 10 (2013) 137 [arXiv:1303.5449] [INSPIRE].

    Article  ADS  Google Scholar 

  13. M. Shigemori, Perturbative 3-charge microstate geometries in six dimensions, JHEP 10 (2013) 169 [arXiv:1307.3115] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  14. S. Giusto, S.D. Mathur and A. Saxena, Dual geometries for a set of 3-charge microstates, Nucl. Phys. B 701 (2004) 357 [hep-th/0405017] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  15. J. Ford, S. Giusto and A. Saxena, A class of BPS time-dependent 3-charge microstates from spectral flow, Nucl. Phys. B 790 (2008) 258 [hep-th/0612227] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  16. O. Lunin and S.D. Mathur, Metric of the multiply wound rotating string, Nucl. Phys. B 610 (2001) 49 [hep-th/0105136] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  17. R. Emparan, D. Mateos and P.K. Townsend, Supergravity supertubes, JHEP 07 (2001) 011 [hep-th/0106012] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  18. O. Lunin, J.M. Maldacena and L. Maoz, Gravity solutions for the D1-D5 system with angular momentum, hep-th/0212210 [INSPIRE].

  19. I. Kanitscheider, K. Skenderis and M. Taylor, Holographic anatomy of fuzzballs, JHEP 04 (2007) 023 [hep-th/0611171] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  20. I. Kanitscheider, K. Skenderis and M. Taylor, Fuzzballs with internal excitations, JHEP 06 (2007) 056 [arXiv:0704.0690] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  21. J.B. Gutowski, D. Martelli and H.S. Reall, All supersymmetric solutions of minimal supergravity in six-dimensions, Class. Quant. Grav. 20 (2003) 5049 [hep-th/0306235] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  22. M. Cariglia and O.A.P. Mac Conamhna, The general form of supersymmetric solutions of N = (1,0) U(1) and SU(2) gauged supergravities in six-dimensions, Class. Quant. Grav. 21 (2004) 3171 [hep-th/0402055] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  23. I. Bena, S. Giusto, M. Shigemori and N.P. Warner, Supersymmetric solutions in six dimensions: a linear structure, JHEP 03 (2012) 084 [arXiv:1110.2781] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  24. I. Bena and N.P. Warner, Bubbling supertubes and foaming black holes, Phys. Rev. D 74 (2006) 066001 [hep-th/0505166] [INSPIRE].

    ADS  MathSciNet  Google Scholar 

  25. P. Berglund, E.G. Gimon and T.S. Levi, Supergravity microstates for BPS black holes and black rings, JHEP 06 (2006) 007 [hep-th/0505167] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  26. I. Bena, C.-W. Wang and N.P. Warner, Mergers and typical black hole microstates, JHEP 11 (2006) 042 [hep-th/0608217] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  27. S. Giusto, L. Martucci, M. Petrini and R. Russo, 6D microstate geometries from 10D structures, Nucl. Phys. B 876 (2013) 509 [arXiv:1306.1745] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  28. I. Bena, S.F. Ross and N.P. Warner, On the oscillation of species, JHEP 09 (2014) 113 [arXiv:1312.3635] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  29. I. Bena, S.F. Ross and N.P. Warner, Coiffured black rings, Class. Quant. Grav. 31 (2014) 165015 [arXiv:1405.5217] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  30. S.D. Mathur, The information paradox: a pedagogical introduction, Class. Quant. Grav. 26 (2009) 224001 [arXiv:0909.1038] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  31. I. Bena and N.P. Warner, Black holes, black rings and their microstates, Lect. Notes Phys. 755 (2008) 1 [hep-th/0701216] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  32. K. Skenderis and M. Taylor, The fuzzball proposal for black holes, Phys. Rept. 467 (2008) 117 [arXiv:0804.0552] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  33. V. Balasubramanian, J. de Boer, S. El-Showk and I. Messamah, Black holes as effective geometries, Class. Quant. Grav. 25 (2008) 214004 [arXiv:0811.0263] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  34. B.D. Chowdhury and A. Virmani, Modave lectures on fuzzballs and emission from the D1-D5 system, arXiv:1001.1444 [INSPIRE].

  35. A. Almheiri, D. Marolf, J. Polchinski and J. Sully, Black holes: complementarity or firewalls?, JHEP 02 (2013) 062 [arXiv:1207.3123] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  36. S.L. Braunstein, S. Pirandola and K. Życzkowski, Better late than never: information retrieval from black holes, Phys. Rev. Lett. 110 (2013) 101301 [arXiv:0907.1190] [INSPIRE].

    Article  ADS  Google Scholar 

  37. S.D. Mathur and D. Turton, Comments on black holes I: the possibility of complementarity, JHEP 01 (2014) 034 [arXiv:1208.2005] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  38. L. Susskind, Singularities, firewalls and complementarity, arXiv:1208.3445 [INSPIRE].

  39. I. Bena, A. Puhm and B. Vercnocke, Non-extremal black hole microstates: fuzzballs of fire or fuzzballs of fuzz?, JHEP 12 (2012) 014 [arXiv:1208.3468] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  40. L. Susskind, The transfer of entanglement: the case for firewalls, arXiv:1210.2098 [INSPIRE].

  41. S.G. Avery, B.D. Chowdhury and A. Puhm, Unitarity and fuzzball complementarity: ‘Alice fuzzes but may not even know it!’, JHEP 09 (2013) 012 [arXiv:1210.6996] [INSPIRE].

    Article  ADS  Google Scholar 

  42. A. Almheiri, D. Marolf, J. Polchinski, D. Stanford and J. Sully, An apologia for firewalls, JHEP 09 (2013) 018 [arXiv:1304.6483] [INSPIRE].

    Article  ADS  Google Scholar 

  43. E. Verlinde and H. Verlinde, Passing through the Firewall, arXiv:1306.0515 [INSPIRE].

  44. J. Maldacena and L. Susskind, Cool horizons for entangled black holes, Fortsch. Phys. 61 (2013) 781 [arXiv:1306.0533] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  45. S.D. Mathur and D. Turton, The flaw in the firewall argument, Nucl. Phys. B 884 (2014) 566 [arXiv:1306.5488] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  46. I. Bena and N.P. Warner, Resolving the structure of black holes: philosophizing with a hammer, arXiv:1311.4538 [INSPIRE].

  47. G.W. Gibbons and N.P. Warner, Global structure of five-dimensional fuzzballs, Class. Quant. Grav. 31 (2014) 025016 [arXiv:1305.0957] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  48. S. Giusto and R. Russo, Adding new hair to the 3-charge black ring, Class. Quant. Grav. 29 (2012) 085006 [arXiv:1201.2585] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  49. A.C. Cadavid, A. Ceresole, R. D’Auria and S. Ferrara, Eleven-dimensional supergravity compactified on Calabi-Yau threefolds, Phys. Lett. B 357 (1995) 76 [hep-th/9506144] [INSPIRE].

    Article  ADS  Google Scholar 

  50. G. Papadopoulos and P.K. Townsend, Compactification of D = 11 supergravity on spaces of exceptional holonomy, Phys. Lett. B 357 (1995) 300 [hep-th/9506150] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  51. O. Vasilakis, Bubbling the newly grown black ring hair, JHEP 05 (2012) 033 [arXiv:1202.1819] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  52. I. Bena, N. Bobev, C. Ruef and N.P. Warner, Supertubes in bubbling backgrounds: Born-Infeld meets supergravity, JHEP 07 (2009) 106 [arXiv:0812.2942] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  53. L.J. Romans, Selfduality for interacting fields: covariant field equations for six-dimensional chiral supergravities, Nucl. Phys. B 276 (1986) 71 [INSPIRE].

    Article  ADS  Google Scholar 

  54. S. Ferrara, F. Riccioni and A. Sagnotti, Tensor and vector multiplets in six-dimensional supergravity, Nucl. Phys. B 519 (1998) 115 [hep-th/9711059] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  55. S.D. Mathur, A. Saxena and Y.K. Srivastava, Constructing ‘hair’ for the three charge hole, Nucl. Phys. B 680 (2004) 415 [hep-th/0311092] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  56. O. Lunin and S.D. Mathur, AdS/CFT duality and the black hole information paradox, Nucl. Phys. B 623 (2002) 342 [hep-th/0109154] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  57. O. Lunin, S.D. Mathur and A. Saxena, What is the gravity dual of a chiral primary?, Nucl. Phys. B 655 (2003) 185 [hep-th/0211292] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  58. S.D. Mathur and D. Turton, Microstates at the boundary of AdS, JHEP 05 (2012) 014 [arXiv:1112.6413] [INSPIRE].

    Article  ADS  Google Scholar 

  59. S.D. Mathur and D. Turton, Oscillating supertubes and neutral rotating black hole microstates, JHEP 04 (2014) 072 [arXiv:1310.1354] [INSPIRE].

    Article  ADS  Google Scholar 

  60. I. Bena, S. Giusto, R. Russo, M. Shigemori and N.P. Warner, Asymptotically flat superstrata, in progress.

  61. S.G. Avery, Using the D1-D5 CFT to understand black holes, arXiv:1012.0072 [INSPIRE].

  62. M. Baggio, J. de Boer and K. Papadodimas, A non-renormalization theorem for chiral primary 3-point functions, JHEP 07 (2012) 137 [arXiv:1203.1036] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  63. S. Giusto, S.D. Mathur and A. Saxena, 3-charge geometries and their CFT duals, Nucl. Phys. B 710 (2005) 425 [hep-th/0406103] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  64. J. de Boer, Six-dimensional supergravity on S 3 × AdS 3 and 2D conformal field theory, Nucl. Phys. B 548 (1999) 139 [hep-th/9806104] [INSPIRE].

    Article  ADS  Google Scholar 

  65. J.M. Maldacena and A. Strominger, AdS 3 black holes and a stringy exclusion principle, JHEP 12 (1998) 005 [hep-th/9804085] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  66. J. de Boer, Large-N elliptic genus and AdS/CFT correspondence, JHEP 05 (1999) 017 [hep-th/9812240] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  67. J.M. Maldacena, G.W. Moore and A. Strominger, Counting BPS black holes in toroidal type II string theory, hep-th/9903163 [INSPIRE].

  68. J.C. Breckenridge, R.C. Myers, A.W. Peet and C. Vafa, D-branes and spinning black holes, Phys. Lett. B 391 (1997) 93 [hep-th/9602065] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  69. I. Bena, B.D. Chowdhury, J. de Boer, S. El-Showk and M. Shigemori, Moulting black holes, JHEP 03 (2012) 094 [arXiv:1108.0411] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  70. I. Bena, C.-W. Wang and N.P. Warner, Plumbing the abyss: black ring microstates, JHEP 07 (2008) 019 [arXiv:0706.3786] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  71. J. de Boer, S. El-Showk, I. Messamah and D. Van den Bleeken, Quantizing N = 2 multicenter solutions, JHEP 05 (2009) 002 [arXiv:0807.4556] [INSPIRE].

    Article  MathSciNet  Google Scholar 

  72. J. de Boer, S. El-Showk, I. Messamah and D. Van den Bleeken, A bound on the entropy of supergravity?, JHEP 02 (2010) 062 [arXiv:0906.0011] [INSPIRE].

    Article  MathSciNet  MATH  Google Scholar 

  73. S. Giusto, O. Lunin, S.D. Mathur and D. Turton, D1-D5-P microstates at the cap, JHEP 02 (2013) 050 [arXiv:1211.0306] [INSPIRE].

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Institut de Physique Théorique, CEA Saclay, F-91191, Gif sur Yvette, France

    Iosif Bena

  2. Dipartimento di Fisica ed Astronomia “Galileo Galilei”, Università di Padova, Via Marzolo 8, 35131, Padova, Italy

    Stefano Giusto

  3. INFN — Sezione di Padova, Via Marzolo 8, 35131, Padova, Italy

    Stefano Giusto

  4. Centre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of London, Mile End Road, London, E1 4NS, U.K.

    Rodolfo Russo

  5. Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa-Oiwakecho, Sakyo-ku, Kyoto, 606-8502, Japan

    Masaki Shigemori

  6. Hakubi Center, Kyoto University, Yoshida-Ushinomiya-cho, Sakyo-ku, Kyoto, 606-8501, Japan

    Masaki Shigemori

  7. Department of Physics and Astronomy, University of Southern California, Los Angeles, CA, 90089, U.S.A.

    Nicholas P. Warner

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  1. Iosif Bena
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Correspondence to Masaki Shigemori.

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ArXiv ePrint: 1503.01463

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Bena, I., Giusto, S., Russo, R. et al. Habemus superstratum! A constructive proof of the existence of superstrata. J. High Energ. Phys. 2015, 110 (2015). https://doi.org/10.1007/JHEP05(2015)110

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  • Received: 30 March 2015

  • Accepted: 08 May 2015

  • Published: 21 May 2015

  • DOI: https://doi.org/10.1007/JHEP05(2015)110

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Keywords

  • Black Holes in String Theory
  • AdS-CFT Correspondence
  • Supergravity Models
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