Abstract
We derive Lifshitz configurations in string theory for general dynamical exponents z ≥ 1. We begin by obtaining simple Li × Ω solutions to supergravities in diverse dimensions, with Ω a compact constant curvature manifold. Then we uplift the solutions to ten dimensions, providing configurations that correspond to warped compactifications in Type II string theory.
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J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [SPIRES].
S.A. Hartnoll, Lectures on holographic methods for condensed matter physics, Class. Quant. Grav. 26 (2009) 224002 [arXiv:0903.3246] [SPIRES].
S. Sachdev, Condensed matter and AdS/CFT, arXiv:1002.2947 [SPIRES].
S. Kachru, X. Liu and M. Mulligan, Gravity Duals of Lifshitz-like Fixed Points, Phys. Rev. D 78 (2008) 106005 [arXiv:0808.1725] [SPIRES].
W. Li, T. Nishioka and T. Takayanagi, Some No-go Theorems for String Duals of Non-relativistic Lifshitz-like Theories, JHEP 10 (2009) 015 [arXiv:0908.0363] [SPIRES].
J. Blaback, U.H. Danielsson and T. Van Riet, Lifshitz backgrounds from 10d supergravity, JHEP 02 (2010) 095 [arXiv:1001.4945] [SPIRES].
S.A. Hartnoll, J. Polchinski, E. Silverstein and D. Tong, Towards strange metallic holography, JHEP 04 (2010) 120 [arXiv:0912.1061] [SPIRES].
K. Balasubramanian and K. Narayan, Lifshitz spacetimes from AdS null and cosmological solutions, JHEP 08 (2010) 014 [arXiv:1005.3291] [SPIRES].
A. Donos and J.P. Gauntlett, Lifshitz Solutions of D = 10 and D = 11 supergravity, arXiv:1008.2062 [SPIRES].
J.M. Maldacena and C. Núñez, Supergravity description of field theories on curved manifolds and a no go theorem, Int. J. Mod. Phys. A 16 (2001) 822 [hep-th/0007018] [SPIRES].
A. Salam and E. Sezgin, Supergravities in Diverse Dimensions, Vol. 1, 2, North-Holland, Amsterdam Netherlands (1989), [World Scientific, Singapore (1989)] [SPIRES].
L.J. Romans, The F(4) Gauged Supergravity In Six-Dimensions, Nucl. Phys. B 269 (1986) 691 [SPIRES].
N. Kaloper, J. March-Russell, G.D. Starkman and M. Trodden, Compact hyperbolic extra dimensions: Branes, Kaluza-Klein modes and cosmology, Phys. Rev. Lett. 85 (2000) 928 [hep-ph/0002001] [SPIRES].
D. Orlando and S.C. Park, Compact hyperbolic extra dimensions: a M-theory solution and its implications for the LHC, JHEP 08 (2010) 006 [arXiv:1006.1901] [SPIRES].
M. Cvetič, H. Lü and C.N. Pope, Gauged six-dimensional supergravity from massive type IIA, Phys. Rev. Lett. 83 (1999) 5226 [hep-th/9906221] [SPIRES].
L.J. Romans, Gauged N = 4 Supergravities In Five-Dimensions And Their Magnetovac Backgrounds, Nucl. Phys. B 267 (1986) 433 [SPIRES].
H. Lü, C.N. Pope and T.A. Tran, Five-dimensional N = 4, SU(2) × U(1) gauged supergravity from type IIB, Phys. Lett. B 475 (2000) 261 [hep-th/9909203] [SPIRES].
M. Cvetič, H. Lü and C.N. Pope, Consistent warped-space Kaluza-Klein reductions, half-maximal gauged supergravities and CP(n) constructions, Nucl. Phys. B 597 (2001) 172 [hep-th/0007109] [SPIRES].
J.P. Gauntlett and O. Varela, D = 5 SU(2) × U(1) Gauged Supergravity from D = 11 Supergravity, JHEP 02 (2008) 083 [arXiv:0712.3560] [SPIRES].
C. Núñez, I.Y. Park, M. Schvellinger and T.A. Tran, Supergravity duals of gauge theories from F(4) gauged supergravity in six dimensions, JHEP 04 (2001) 025 [hep-th/0103080] [SPIRES].
S.A. Hartnoll and K. Yoshida, Families of IIB duals for nonrelativistic CFTs, JHEP 12 (2008) 071 [arXiv:0810.0298] [SPIRES].
A. Donos and J.P. Gauntlett, Schrödinger invariant solutions of type IIB with enhanced supersymmetry, JHEP 10 (2009) 073 [arXiv:0907.1761] [SPIRES].
A. Salam and E. Sezgin, D = 8 Supergravity, Nucl. Phys. B 258 (1985) 284 [SPIRES].
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Gregory, R., Parameswaran, S.L., Tasinato, G. et al. Lifshitz solutions in supergravity and string theory. J. High Energ. Phys. 2010, 47 (2010). https://doi.org/10.1007/JHEP12(2010)047
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DOI: https://doi.org/10.1007/JHEP12(2010)047