Abstract
In continuation with our studies of Lifshitz like Dp-brane solutions, we propose a class of 1/4 BPS supersymmetric interpolating solutions which interpolate between IR Lifshitz solutions and UV AdS solutions smoothly. We demonstrate properties of these classical solutions near the two fixed points. These interpolating solutions are then used to calculate the entanglement entropies of strip-like subsystems. With these bulk solutions the entropy functional also gets modified. We also make a curious observation about the electric-magnetic duality and the thermal entropy of the Hodge-dual Lifshitz Dp brane systems.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
D.T. Son, Toward an AdS/cold atoms correspondence: a geometric realization of the Schrödinger symmetry, Phys. Rev. D 78 (2008) 046003 [arXiv:0804.3972] [INSPIRE].
K. Balasubramanian and J. McGreevy, Gravity duals for nonrelativistic conformal field theories, Phys. Rev. Lett. 101 (2008) 061601 [arXiv:0804.4053] [INSPIRE].
K. Balasubramanian and J. McGreevy, The particle number in Galilean holography, JHEP 01 (2011) 137 [arXiv:1007.2184] [INSPIRE].
S. Kachru, X. Liu and M. Mulligan, Gravity duals of Lifshitz-like fixed points, Phys. Rev. D 78 (2008) 106005 [arXiv:0808.1725] [INSPIRE].
J. Maldacena, D. Martelli and Y. Tachikawa, Comments on string theory backgrounds with non-relativistic conformal symmetry, JHEP 10 (2008) 072 [arXiv:0807.1100] [INSPIRE].
A. Donos and J.P. Gauntlett, Lifshitz solutions of D = 10 and D = 11 supergravity, JHEP 12 (2010) 002 [arXiv:1008.2062] [INSPIRE].
J. Jeong, H.-C. Kim, S. Lee, E. Ó Colgáin and H. Yavartanoo, Schrödinger invariant solutions of M-theory with enhanced supersymmetry, JHEP 03 (2010) 034 [arXiv:0911.5281] [INSPIRE].
K. Balasubramanian and K. Narayan, Lifshitz spacetimes from AdS null and cosmological solutions, JHEP 08 (2010) 014 [arXiv:1005.3291] [INSPIRE].
H. Singh, Special limits and nonrelativistic 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].
H. Singh, Holographic flows to IR Lifshitz spacetimes, JHEP 04 (2011) 118 [arXiv:1011.6221] [INSPIRE].
G. Bertoldi, B.A. Burrington, A.W. Peet and I.G. Zadeh, Lifshitz-like black brane thermodynamics in higher dimensions, Phys. Rev. D 83 (2011) 126006 [arXiv:1101.1980] [INSPIRE].
H. Singh, Lifshitz/Schrödinger Dp-branes and dynamical exponents, JHEP 07 (2012) 082 [arXiv:1202.6533] [INSPIRE].
K. Narayan, Lifshitz-like systems and AdS null deformations, Phys. Rev. D 84 (2011) 086001 [arXiv:1103.1279] [INSPIRE].
D. Cassani and A.F. Faedo, Constructing Lifshitz solutions from AdS, JHEP 05 (2011) 013 [arXiv:1102.5344] [INSPIRE].
W. Chemissany and J. Hartong, From D3-branes to Lifshitz spacetimes, 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].
W. Song and A. Strominger, Warped AdS 3 /dipole-CFT duality, JHEP 05 (2012) 120 [arXiv:1109.0544] [INSPIRE].
G.T. Horowitz and B. Way, Lifshitz singularities, Phys. Rev. D 85 (2012) 046008 [arXiv:1111.1243] [INSPIRE].
N. Itzhaki, J.M. Maldacena, J. Sonnenschein and S. Yankielowicz, Supergravity and the large-N limit of theories with sixteen supercharges, Phys. Rev. D 58 (1998) 046004 [hep-th/9802042] [INSPIRE].
N. Ogawa, T. Takayanagi and T. Ugajin, Holographic Fermi surfaces and entanglement entropy, JHEP 01 (2012) 125 [arXiv:1111.1023] [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].
K. Narayan, Lifshitz scaling and hyperscaling violation in string theory, Phys. Rev. D 85 (2012) 106006 [arXiv:1202.5935] [INSPIRE].
B.S. Kim, Schrödinger holography with and without hyperscaling violation, JHEP 06 (2012) 116 [arXiv:1202.6062] [INSPIRE].
E. Perlmutter, Hyperscaling violation from supergravity, JHEP 06 (2012) 165 [arXiv:1205.0242] [INSPIRE].
P. Dey and S. Roy, Lifshitz-like space-time from intersecting branes in string/M theory, JHEP 06 (2012) 129 [arXiv:1203.5381] [INSPIRE].
P. Dey and S. Roy, Intersecting D-branes and Lifshitz-like space-time, Phys. Rev. D 86 (2012) 066009 [arXiv:1204.4858] [INSPIRE].
H. Lü, Y. Pang, C.N. Pope and J.F. Vázquez-Poritz, AdS and Lifshitz black holes in conformal and Einstein-Weyl gravities, Phys. Rev. D 86 (2012) 044011 [arXiv:1204.1062] [INSPIRE].
M. Alishahiha and H. Yavartanoo, On holography with hyperscaling violation, JHEP 11 (2012) 034 [arXiv:1208.6197] [INSPIRE].
M. Alishahiha, E. Ó Colgáin 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].
K. Narayan, T. Takayanagi and S.P. Trivedi, AdS plane waves and entanglement entropy, JHEP 04 (2013) 051 [arXiv:1212.4328] [INSPIRE].
K. Narayan, Non-conformal brane plane waves and entanglement entropy, arXiv:1304.6697 [INSPIRE].
S. Ryu and T. Takayanagi, Aspects of holographic entanglement entropy, JHEP 08 (2006) 045 [hep-th/0605073] [INSPIRE].
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from the anti de Sitter space/conformal field theory correspondence, Phys. Rev. Lett. 96 (2006) 181602 [hep-th/0603001] [INSPIRE].
G. Bertoldi, B.A. Burrington and A.W. Peet, Thermal behavior of charged dilatonic black branes in AdS and UV completions of Lifshitz-like geometries, Phys. Rev. D 82 (2010) 106013 [arXiv:1007.1464] [INSPIRE].
H. Braviner, R. Gregory and S.F. Ross, Flows involving Lifshitz solutions, Class. Quant. Grav. 28 (2011) 225028 [arXiv:1108.3067] [INSPIRE].
J.T. Liu and Z. Zhao, Holographic Lifshitz flows and the null energy condition, arXiv:1206.1047 [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1305.3784
Rights and permissions
About this article
Cite this article
Singh, H. Lifshitz to AdS flow with interpolating p-brane solutions. J. High Energ. Phys. 2013, 97 (2013). https://doi.org/10.1007/JHEP08(2013)097
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP08(2013)097