Supersymmetric asymptotic AdS and Lifshitz solutions in Einstein-Weyl and conformal supergravities View Full Text


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Article Info

DATE

2012-08

AUTHORS

H. Lü, Zhao-Long Wang

ABSTRACT

We show that there exist supersymmetric Lifshitz vacua in off-shell Einstein- Weyl supergravity, in addition to the BPS AdS4 vacuum. The Lifshitz exponents are determined by the product of the cosmological constant and the coupling of the Weyl- squared term. We then obtain the equations of the supersymmetric solutions that are asymptotic to the AdS or Lifshitz vacua. We obtain many examples of exact solutions as well as numerical ones. We find examples of extremal AdS black branes whose near-horizon geometry is AdS2 × T2. We also find an extremal Lifshitz black hole with z = −2, whose horizon coincides with the curvature singularity. However the asymptotic Lifshitz solutions are in general smooth wormholes. In conformal supergravity, we find intriguing examples of non-extremal “BPS” AdS and Lifshitz black holes whose local Killing spinor is divergent on the horizon. We show that all the supersymmetric asymptotic AdS and Lifshitz solutions have the vanishing Noether charge associated with some scaling symmetry. We also study the integrability condition of the Killing spinor equation and the supersymmetric invariance of the action. Finally we show that the only spherically-symmetric BPS solution is the AdS vacuum. More... »

PAGES

12

References to SciGraph publications

  • 2009-03-10. Black holes in asymptotically Lifshitz spacetime in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-08. Lifshitz spacetimes from AdS null and cosmological solutions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2008-02-28. On existence of self-tuning solutions in static braneworlds without singularities in JOURNAL OF HIGH ENERGY PHYSICS
  • 1999-04. The Large-N Limit of Superconformal Field Theories and Supergravity in INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • 2011-10. Critical and non-critical Einstein-Weyl supergravity in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-01. Killing spinors for the bosonic string and Kaluza–Klein theory with scalar potentials in THE EUROPEAN PHYSICAL JOURNAL C
  • 2011-07. Lifshitz black holes in string theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-06-24. Lifshitz topological black holes in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-12. Lifshitz solutions in supergravity and string theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-05. Constructing Lifshitz solutions from AdS in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-04. Towards strange metallic holography in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-08. Non-relativistic solutions of gauged supergravity in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-12. Wrapped M5-branes, consistent truncations and AdS/CMT in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-12. Lifshitz solutions of D=10 and D=11 supergravity in JOURNAL OF HIGH ENERGY PHYSICS
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    40 schema:description We show that there exist supersymmetric Lifshitz vacua in off-shell Einstein- Weyl supergravity, in addition to the BPS AdS4 vacuum. The Lifshitz exponents are determined by the product of the cosmological constant and the coupling of the Weyl- squared term. We then obtain the equations of the supersymmetric solutions that are asymptotic to the AdS or Lifshitz vacua. We obtain many examples of exact solutions as well as numerical ones. We find examples of extremal AdS black branes whose near-horizon geometry is AdS2 × T2. We also find an extremal Lifshitz black hole with z = −2, whose horizon coincides with the curvature singularity. However the asymptotic Lifshitz solutions are in general smooth wormholes. In conformal supergravity, we find intriguing examples of non-extremal “BPS” AdS and Lifshitz black holes whose local Killing spinor is divergent on the horizon. We show that all the supersymmetric asymptotic AdS and Lifshitz solutions have the vanishing Noether charge associated with some scaling symmetry. We also study the integrability condition of the Killing spinor equation and the supersymmetric invariance of the action. Finally we show that the only spherically-symmetric BPS solution is the AdS vacuum.
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