Multi-superthreads and supersheets
Abstract
We obtain new BPS solutions of six-dimensional, \( \mathcal{N} \) = 1 supergravity coupled to a tensor multiplet. These solutions are sourced by multiple “superthreads” carrying D1-D5-P charges and two magnetic dipole charges. These new solutions are sourced by multiple threads with independent and arbitrary shapes and include new shape-shape interaction terms. Because the individual superthreads can be given independent profiles, the new solutions can be smeared together into continuous “supersheets”, described by arbitrary functions of two variables. The supersheet solutions have singularities like those of the three-charge, two dipole-charge generalized supertube in five dimensions and we show how such five-dimensional solutions emerge from a very simple choice of profiles. The new solutions obtained here also represent an important step in finding superstrata, which are expected to play a role in the description of black-hole microstates, due to their ability to store a large amount of entropy in their two-dimensional profile.
Keywords
Black Holes in String Theory AdS-CFT CorrespondenceReferences
- [1]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].MathSciNetADSCrossRefMATHGoogle Scholar
- [2]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].MathSciNetADSCrossRefMATHGoogle Scholar
- [3]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].MathSciNetADSCrossRefGoogle Scholar
- [4]I. Bena and N.P. Warner, One ring to rule them all. . . and in the darkness bind them?, Adv. Theor. Math. Phys. 9 (2005) 667 [hep-th/0408106] [INSPIRE].MathSciNetCrossRefMATHGoogle Scholar
- [5]I. Bena and N.P. Warner, Black holes, black rings and their microstates, Lect. Notes Phys. 755 (2008) 1 [hep-th/0701216] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
- [6]I. Bena, J. de Boer, M. Shigemori and N.P. Warner, Double, double supertube bubble, JHEP 10 (2011) 116 [arXiv:1107.2650] [INSPIRE].ADSCrossRefGoogle Scholar
- [7]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].MathSciNetADSCrossRefGoogle Scholar
- [8]O. Lunin, J.M. Maldacena and L. Maoz, Gravity solutions for the D1-D5 system with angular momentum, hep-th/0212210 [INSPIRE].
- [9]S.D. Mathur, The fuzzball proposal for black holes: an elementary review, Fortschr. Phys. 53 (2005) 793 [hep-th/0502050] [INSPIRE].MathSciNetCrossRefMATHGoogle Scholar
- [10]B.D. Chowdhury and A. Virmani, Modave lectures on fuzzballs and emission from the D1-D5 system, arXiv:1001.1444 [INSPIRE].
- [11]S.D. Mathur, Fuzzballs and the information paradox: a summary and conjectures, arXiv:0810.4525 [INSPIRE].
- [12]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].ADSCrossRefGoogle Scholar
- [13]K. Skenderis and M. Taylor, The fuzzball proposal for black holes, Phys. Rept. 467 (2008) 117 [arXiv:0804.0552] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
- [14]I. Bena and P. Kraus, Three charge supertubes and black hole hair, Phys. Rev. D 70 (2004) 046003 [hep-th/0402144] [INSPIRE].MathSciNetADSGoogle Scholar
- [15]I. Bena, Splitting hairs of the three charge black hole, Phys. Rev. D 70 (2004) 105018 [hep-th/0404073] [INSPIRE].MathSciNetADSGoogle Scholar
- [16]I. Bena, P. Kraus and N.P. Warner, Black rings in Taub-NUT, Phys. Rev. D 72 (2005) 084019 [hep-th/0504142] [INSPIRE].MathSciNetADSGoogle Scholar
- [17]J. de Boer and M. Shigemori, Exotic branes and non-geometric backgrounds, Phys. Rev. Lett. 104 (2010) 251603 [arXiv:1004.2521] [INSPIRE].MathSciNetADSCrossRefGoogle Scholar