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Lifshitz solutions in supergravity and string theory

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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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References

  1. 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].

    Article  MATH  MathSciNet  Google Scholar 

  2. S.A. Hartnoll, Lectures on holographic methods for condensed matter physics, Class. Quant. Grav. 26 (2009) 224002 [arXiv:0903.3246] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  3. S. Sachdev, Condensed matter and AdS/CFT, arXiv:1002.2947 [SPIRES].

  4. S. Kachru, X. Liu and M. Mulligan, Gravity Duals of Lifshitz-like Fixed Points, Phys. Rev. D 78 (2008) 106005 [arXiv:0808.1725] [SPIRES].

    ADS  MathSciNet  Google Scholar 

  5. 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].

    ADS  MathSciNet  Google Scholar 

  6. J. Blaback, U.H. Danielsson and T. Van Riet, Lifshitz backgrounds from 10d supergravity, JHEP 02 (2010) 095 [arXiv:1001.4945] [SPIRES].

    Article  ADS  Google Scholar 

  7. S.A. Hartnoll, J. Polchinski, E. Silverstein and D. Tong, Towards strange metallic holography, JHEP 04 (2010) 120 [arXiv:0912.1061] [SPIRES].

    Article  ADS  Google Scholar 

  8. K. Balasubramanian and K. Narayan, Lifshitz spacetimes from AdS null and cosmological solutions, JHEP 08 (2010) 014 [arXiv:1005.3291] [SPIRES].

    Article  ADS  Google Scholar 

  9. A. Donos and J.P. Gauntlett, Lifshitz Solutions of D = 10 and D = 11 supergravity, arXiv:1008.2062 [SPIRES].

  10. 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].

    ADS  Google Scholar 

  11. A. Salam and E. Sezgin, Supergravities in Diverse Dimensions, Vol. 1, 2, North-Holland, Amsterdam Netherlands (1989), [World Scientific, Singapore (1989)] [SPIRES].

    Google Scholar 

  12. L.J. Romans, The F(4) Gauged Supergravity In Six-Dimensions, Nucl. Phys. B 269 (1986) 691 [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  13. 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].

    Article  MATH  ADS  MathSciNet  Google Scholar 

  14. 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].

    Article  ADS  Google Scholar 

  15. 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].

    Article  MATH  ADS  MathSciNet  Google Scholar 

  16. L.J. Romans, Gauged N = 4 Supergravities In Five-Dimensions And Their Magnetovac Backgrounds, Nucl. Phys. B 267 (1986) 433 [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  17. 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].

    ADS  Google Scholar 

  18. 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].

    Article  ADS  Google Scholar 

  19. 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].

    Article  ADS  MathSciNet  Google Scholar 

  20. 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].

    Article  Google Scholar 

  21. S.A. Hartnoll and K. Yoshida, Families of IIB duals for nonrelativistic CFTs, JHEP 12 (2008) 071 [arXiv:0810.0298] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  22. A. Donos and J.P. Gauntlett, Schrödinger invariant solutions of type IIB with enhanced supersymmetry, JHEP 10 (2009) 073 [arXiv:0907.1761] [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

  23. A. Salam and E. Sezgin, D = 8 Supergravity, Nucl. Phys. B 258 (1985) 284 [SPIRES].

    Article  ADS  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Centre for Particle Theory, Durham University, South Road, Durham, DH1 3LE, U.K.

    Ruth Gregory

  2. Theoretical Physics, Uppsala University, Box 516, SE-751 20, Uppsala, Sweden

    Susha L. Parameswaran

  3. Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 19, 69120, Heidelberg, Germany

    Gianmassimo Tasinato

  4. Bethe Center for Theoretical Physics and Physikalisches Institut der Universität Bonn, Nußallee 12, D-53115, Bonn, Germany

    Ivonne Zavala

Authors
  1. Ruth Gregory
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  2. Susha L. Parameswaran
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  3. Gianmassimo Tasinato
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  4. Ivonne Zavala
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Correspondence to Gianmassimo Tasinato.

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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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