Abstract
In this note we describe several procedures to construct, from known black-hole and black-brane solutions of any ungauged supergravity theory, non-trivial gravitational solutions whose “near-horizon” and “near-singularity” limits are Lifshitz-like spacetimes with dynamical critical exponent z, “hyperscaling violation” exponent θ and Lifshitz radius ℓ that depends on the physical parameters of the original black-hole solution. Since the new Lifshitz-like solutions can be constructed from any black-hole solution of any ungauged supergravity, many of them can be easily embedded in String Theory. Some of the procedures produce supersymmetric Lifshitz-like solutions.
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References
S.A. Hartnoll, Lectures on holographic methods for condensed matter physics, Class. Quant. Grav. 26 (2009) 224002 [arXiv:0903.3246] [INSPIRE].
C.P. Herzog, Lectures on holographic superfluidity and superconductivity, J. Phys. A 42 (2009) 343001 [arXiv:0904.1975] [INSPIRE].
J. McGreevy, Holographic duality with a view toward many-body physics, Adv. High Energy Phys. 2010 (2010) 723105 [arXiv:0909.0518] [INSPIRE].
C. Charmousis, B. Gouteraux, B. Kim, E. Kiritsis and R. Meyer, Effective holographic theories for low-temperature condensed matter systems, JHEP 11 (2010) 151 [arXiv:1005.4690] [INSPIRE].
L. Huijse, S. Sachdev and B. Swingle, Hidden Fermi surfaces in compressible states of gauge-gravity duality, Phys. Rev. B 85 (2012) 035121 [arXiv:1112.0573] [INSPIRE].
X. Dong, S. Harrison, S. Kachru, G. Torroba and H. Wang, Aspects of holography for theories with hyperscaling violation, JHEP 06 (2012) 041 [arXiv:1201.1905] [INSPIRE].
E. Shaghoulian, Holographic entanglement entropy and Fermi surfaces, JHEP 05 (2012) 065 [arXiv:1112.2702] [INSPIRE].
N. Ogawa, T. Takayanagi and T. Ugajin, Holographic Fermi surfaces and entanglement entropy, JHEP 01 (2012) 125 [arXiv:1111.1023] [INSPIRE].
E. Perlmutter, Hyperscaling violation from supergravity, JHEP 06 (2012) 165 [arXiv:1205.0242] [INSPIRE].
K. Narayan, On Lifshitz scaling and hyperscaling violation in string theory, Phys. Rev. D 85 (2012) 106006 [arXiv:1202.5935] [INSPIRE].
M. Ammon, M. Kaminski and A. Karch, Hyperscaling-violation on probe D-branes, JHEP 11 (2012) 028 [arXiv:1207.1726] [INSPIRE].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2 (1998) 505 [hep-th/9803131] [INSPIRE].
I. Amado and A.F. Faedo, Lifshitz black holes in string theory, JHEP 07 (2011) 004 [arXiv:1105.4862] [INSPIRE].
L. Barclay, R. Gregory, S. Parameswaran, G. Tasinato and I. Zavala, Lifshitz black holes in IIA supergravity, JHEP 05 (2012) 122 [arXiv:1203.0576] [INSPIRE].
W. Chemissany and J. Hartong, From D3-branes to Lifshitz space-times, Class. Quant. Grav. 28 (2011) 195011 [arXiv:1105.0612] [INSPIRE].
N. Iizuka, N. Kundu, P. Narayan and S.P. Trivedi, Holographic Fermi and non-Fermi liquids with transitions in dilaton gravity, JHEP 01 (2012) 094 [arXiv:1105.1162] [INSPIRE].
M. Alishahiha, E. Ó Colgáin and H. Yavartanoo, Charged black branes with hyperscaling violating factor, preprint IPM/P-2012/050 [FPAUO-12/12] [arXiv:1209.3946] [INSPIRE].
G.T. Horowitz and B. Way, Lifshitz singularities, Phys. Rev. D 85 (2012) 046008 [arXiv:1111.1243] [INSPIRE].
S. Harrison, S. Kachru and H. Wang, Resolving Lifshitz horizons, arXiv:1202.6635 [INSPIRE].
N. Bao, X. Dong, S. Harrison and E. Silverstein, The benefits of stress: resolution of the Lifshitz singularity, Phys. Rev. D 86 (2012) 106008 [arXiv:1207.0171] [INSPIRE].
S. Ferrara, G.W. Gibbons and R. Kallosh, Black holes and critical points in moduli space, Nucl. Phys. B 500 (1997) 75 [hep-th/9702103] [INSPIRE].
P. Galli, T. Ortín, J. Perz and C.S. Shahbazi, Non-extremal black holes of N = 2, D = 4 supergravity, JHEP 07 (2011) 041 [arXiv:1105.3311] [INSPIRE].
T. Mohaupt and O. Vaughan, The Hesse potential, the c-map and black hole solutions, JHEP 07 (2012) 163 [arXiv:1112.2876] [INSPIRE].
P. Meessen, T. Ortín, J. Perz and C. Shahbazi, H-FGK formalism for black-hole solutions of N = 2, D = 4 and D = 5 supergravity, Phys. Lett. B 709 (2012) 260 [arXiv:1112.3332] [INSPIRE].
M. Hübscher, P. Meessen and T. Ortín, Supersymmetric solutions of N = 2 D = 4 SUGRA: the whole ungauged shebang, Nucl. Phys. B 759 (2006) 228 [hep-th/0606281] [INSPIRE].
P. Meessen, T. Ortín, J. Perz and C. Shahbazi, Black holes and black strings of N = 2, D = 5 supergravity in the H-FGK formalism, JHEP 09 (2012) 001 [arXiv:1204.0507] [INSPIRE].
A. de Antonio Martín, T. Ortín and C. Shahbazi, The FGK formalism for black p-branes in d dimensions, JHEP 05 (2012) 045 [arXiv:1203.0260] [INSPIRE].
G.W. Gibbons, R. Kallosh and B. Kol, Moduli, scalar charges and the first law of black hole thermodynamics, Phys. Rev. Lett. 77 (1996) 4992 [hep-th/9607108] [INSPIRE].
P. Meessen and T. Ortín, Non-extremal black holes of N = 2, D = 5 supergravity, Phys. Lett. B 707 (2012) 178 [arXiv:1107.5454] [INSPIRE].
K. Behrndt, D. Lüst and W.A. Sabra, Stationary solutions of N = 2 supergravity, Nucl. Phys. B 510 (1998) 264 [hep-th/9705169] [INSPIRE].
G. Lopes Cardoso, B. de Wit, J. Käppeli and T. Mohaupt, Stationary BPS solutions in N = 2 supergravity with R 2 interactions, JHEP 12 (2000) 019 [hep-th/0009234] [INSPIRE].
F. Denef, Supergravity flows and D-brane stability, JHEP 08 (2000) 050 [hep-th/0005049] [INSPIRE].
P. Meessen and T. Ortín, The supersymmetric configurations of N = 2, D = 4 supergravity coupled to vector supermultiplets, Nucl. Phys. B 749 (2006) 291 [hep-th/0603099] [INSPIRE].
M. Duff, J.T. Liu and J. Rahmfeld, Four-dimensional string-string-string triality, Nucl. Phys. B 459 (1996) 125 [hep-th/9508094] [INSPIRE].
K. Behrndt, R. Kallosh, J. Rahmfeld, M. Shmakova and W.K. Wong, STU black holes and string triality, Phys. Rev. D 54 (1996) 6293 [hep-th/9608059] [INSPIRE].
S. Bellucci, S. Ferrara, A. Marrani and A. Yeranyan, STU black holes unveiled, Entropy 10 (2008) 507 [arXiv:0807.3503] [INSPIRE].
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ArXiv ePrint: 1209.4047
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Bueno, P., Chemissany, W., Meessen, P. et al. Lifshitz-like solutions with hyperscaling violation in ungauged supergravity. J. High Energ. Phys. 2013, 189 (2013). https://doi.org/10.1007/JHEP01(2013)189
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DOI: https://doi.org/10.1007/JHEP01(2013)189