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Gödel space from wrapped M2-branes

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Abstract

We show that M-theory admits a supersymmetric compactification to the Gödel universe of the form Gödel3×S2×CY3. We interpret this geometry as coming from the backreaction of M2-branes wrapping the S2 in an AdS3×S2×CY3 flux compactification. In the black hole deconstruction proposal similar states give rise to the entropy of a D4-D0 black hole. The system is effectively described by a three-dimensional theory consisting of an axion-dilaton coupled to gravity with a negative cosmological constant. Other embeddings of the three-dimensional theory imply similar supersymmetric Gödel compactifications of type IIA/IIB string theory and F-theory.

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Authors and Affiliations

  1. Department of Physics and Astronomy, University of British Columbia, Vancouver, B.C. V6T 1Z1, Canada

    T. S. Levi

  2. Institute of Physics of the ASCR, v.v.i., Na Slovance 2, 182 21, Prague 8, Czech Republic

    J. Raeymaekers

  3. NHETC and Department of Physics and Astronomy, Rutgers University, Piscataway, NJ, 08855, U.S.A.

    D. Van den Bleeken

  4. Institute for Theoretical Physics, K.U. Leuven, Celestijnenlaan 200D, B-3001, Leuven, Belgium

    W. Van Herck & B. Vercnocke

  5. Jefferson Physical Laboratory, Harvard University, Cambridge, MA, 02138, U.S.A.

    B. Vercnocke

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  1. T. S. Levi
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  2. J. Raeymaekers
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Correspondence to T. S. Levi.

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ArXiv ePrint: 0909.4081

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Levi, T.S., Raeymaekers, J., Van den Bleeken, D. et al. Gödel space from wrapped M2-branes. J. High Energ. Phys. 2010, 82 (2010). https://doi.org/10.1007/JHEP01(2010)082

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