Abstract
Electrically-charged Lifshitz spacetimes are hard to come by. In this paper, we construct a class of such solutions in five dimensional Einstein gravity coupled to Maxwell and SU(2) Yang-Mills fields. The solutions are electrically-charged under the Maxwell field, whose equation is sourced by the Yang-Mills instanton(-like) configuration living in the hyperbolic four-space of the Lifshitz spacetime. We then introduce a dilaton and construct charged and colored Lifshitz spacetimes with hyperscaling violations. We obtain a class of exact Lifshitz black holes. We also perform similar constructions in four dimensions.
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References
S. Kachru, X. Liu and M. Mulligan, Gravity duals of Lifshitz-like fixed points, Phys. Rev. D 78 (2008) 106005 [arXiv:0808.1725] [INSPIRE].
M. Taylor, Non-relativistic holography, arXiv:0812.0530 [INSPIRE].
S.A. Hartnoll and A. Tavanfar, Electron stars for holographic metallic criticality, Phys. Rev. D 83 (2011) 046003 [arXiv:1008.2828] [INSPIRE].
K. Balasubramanian and K. Narayan, Lifshitz spacetimes from AdS null and cosmological solutions, JHEP 08 (2010) 014 [arXiv:1005.3291] [INSPIRE].
A. Donos and J.P. Gauntlett, Lifshitz Solutions of D = 10 and D = 11 supergravity, JHEP 12 (2010) 002 [arXiv:1008.2062] [INSPIRE].
H. Singh, Special limits and non-relativistic solutions, JHEP 12 (2010) 061 [arXiv:1009.0651] [INSPIRE].
R. Gregory, S.L. Parameswaran, G. Tasinato and I. Zavala, Lifshitz solutions in supergravity and string theory, JHEP 12 (2010) 047 [arXiv:1009.3445] [INSPIRE].
A. Donos, J.P. Gauntlett, N. Kim and O. Varela, Wrapped M5-branes, consistent truncations and AdS/CMT, JHEP 12 (2010) 003 [arXiv:1009.3805] [INSPIRE].
D. Cassani and A.F. Faedo, Constructing Lifshitz solutions from AdS, JHEP 05 (2011) 013 [arXiv:1102.5344] [INSPIRE].
N. Halmagyi, M. Petrini and A. Zaffaroni, Non-Relativistic Solutions of N = 2 Gauged Supergravity, JHEP 08 (2011) 041 [arXiv:1102.5740] [INSPIRE].
W. Chemissany and J. Hartong, From D3-branes to Lifshitz Space-Times, Class. Quant. Grav. 28 (2011) 195011 [arXiv:1105.0612] [INSPIRE].
H.-S. Liu and H. Lü, Lifshitz and Schrödinger vacua, superstar resolution in gauged maximal supergravities, JHEP 02 (2014) 122 [arXiv:1310.8348] [INSPIRE].
C. Charmousis, B. Gouteraux, B.S. Kim, E. Kiritsis and R. Meyer, Effective Holographic Theories for low-temperature condensed matter systems, JHEP 11 (2010) 151 [arXiv:1005.4690] [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].
B. Gouteraux and E. Kiritsis, Generalized Holographic Quantum Criticality at Finite Density, JHEP 12 (2011) 036 [arXiv:1107.2116] [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].
K. Narayan, On Lifshitz scaling and hyperscaling violation in string theory, Phys. Rev. D 85 (2012) 106006 [arXiv:1202.5935] [INSPIRE].
E. Perlmutter, Hyperscaling violation from supergravity, JHEP 06 (2012) 165 [arXiv:1205.0242] [INSPIRE].
M. Ammon, M. Kaminski and A. Karch, Hyperscaling-Violation on Probe D-branes, JHEP 11 (2012) 028 [arXiv:1207.1726] [INSPIRE].
J. Bhattacharya, S. Cremonini and A. Sinkovics, On the IR completion of geometries with hyperscaling violation, JHEP 02 (2013) 147 [arXiv:1208.1752] [INSPIRE].
P. Dey and S. Roy, Lifshitz metric with hyperscaling violation from NS5-Dp states in string theory, Phys. Lett. B 720 (2013) 419 [arXiv:1209.1049] [INSPIRE].
M. Alishahiha, E. O Colgain and H. Yavartanoo, Charged Black Branes with Hyperscaling Violating Factor, JHEP 11 (2012) 137 [arXiv:1209.3946] [INSPIRE].
J. Gath, J. Hartong, R. Monteiro and N.A. Obers, Holographic Models for Theories with Hyperscaling Violation, JHEP 04 (2013) 159 [arXiv:1212.3263] [INSPIRE].
P. Bueno, W. Chemissany and C.S. Shahbazi, On hvLif -like solutions in gauged Supergravity, Eur. Phys. J. C 74 (2014) 2684 [arXiv:1212.4826] [INSPIRE].
N. Iizuka, S. Kachru, N. Kundu, P. Narayan, N. Sircar et al., Extremal Horizons with Reduced Symmetry: Hyperscaling Violation, Stripes and a Classification for the Homogeneous Case, JHEP 03 (2013) 126 [arXiv:1212.1948] [INSPIRE].
Z. Fan, Holographic fermions in asymptotically scaling geometries with hyperscaling violation, Phys. Rev. D 88 (2013) 026018 [arXiv:1303.6053] [INSPIRE].
Z. Fan, Dynamic Mott gap from holographic fermions in geometries with hyperscaling violation, JHEP 08 (2013) 119 [arXiv:1305.1151] [INSPIRE].
Z. Fan, Holographic superconductors with hyperscaling violation, JHEP 09 (2013) 048 [arXiv:1305.2000] [INSPIRE].
J. Bhattacharya, S. Cremonini and B. Goutéraux, Intermediate scalings in holographic RG flows and conductivities, JHEP 02 (2015) 035 [arXiv:1409.4797] [INSPIRE].
L.J. Romans, Gauged N = 4 Supergravities in Five-dimensions and Their Magnetovac Backgrounds, Nucl. Phys. B 267 (1986) 433 [INSPIRE].
Z.-Y. Fan and H. Lü, Charged Black Holes in Colored Lifshitz Spacetimes, Phys. Lett. B 743 (2015) 290 [arXiv:1501.01727] [INSPIRE].
T. Zingg, Thermodynamics of Dyonic Lifshitz Black Holes, JHEP 09 (2011) 067 [arXiv:1107.3117] [INSPIRE].
H.-S. Liu and H. Lü, Thermodynamics of Lifshitz Black Holes, JHEP 12 (2014) 071 [arXiv:1410.6181] [INSPIRE].
Z.-Y. Fan and H. Lü, SU(2)-Colored (A)dS Black Holes in Conformal Gravity, JHEP 02 (2015) 013 [arXiv:1411.5372] [INSPIRE].
Z.-Y. Fan and H. Lü, Thermodynamical First Laws of Black Holes in Quadratically-Extended Gravities, Phys. Rev. D 91 (2015) 064009 [arXiv:1501.00006] [INSPIRE].
M. Bravo-Gaete and M. Hassaine, Thermodynamics of charged Lifshitz black holes with quadratic corrections, Phys. Rev. D 91 (2015) 064038 [arXiv:1501.03348] [INSPIRE].
D.O. Devecioğlu, Lifshitz black holes in Einstein- Yang-Mills theory, Phys. Rev. D 89 (2014) 124020 [arXiv:1401.2133] [INSPIRE].
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Fan, ZY., Lü, H. Electrically-charged Lifshitz spacetimes, and hyperscaling violations. J. High Energ. Phys. 2015, 139 (2015). https://doi.org/10.1007/JHEP04(2015)139
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DOI: https://doi.org/10.1007/JHEP04(2015)139