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Wrapped M5-branes, consistent truncations and AdS/CMT

Donos, A., Gauntlett, J. P., Kim, N., & Varela, O. (2010). Wrapped M5-branes, consistent truncations and AdS/CMT. Journal of High Energy Physics, 2010(12): 003, pp. 1-43. doi:10.1007/JHEP12(2010)003.

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Genre: Journal Article

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1009.3805 (Preprint), 417KB
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### Creators

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Creators:
Donos, Aristomenis, Author
Gauntlett, Jerome P., Author
Kim, Nakwoo, Author
Varela, Oscar1, Author
Affiliations:
1Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014

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Free keywords: High Energy Physics - Theory, hep-th
Abstract: At the level of the bosonic fields, we construct consistent Kaluza--Klein reductions of D=11 supergravity on $\Sigma_3\times S^4$, where $\Sigma_3=H^3/\Gamma,S^3/\Gamma$ or $R^3/\Gamma$ where $\Gamma$ is a discrete group of isometries. The result is the bosonic content of an N=2 D=4 gauged supergravity with a single vector multiplet and two hypermultiplets, whose scalar fields parametrise $SU(1,1)/U(1)\times G_{2(2)}/SO(4)$. When $\Sigma_3=H^3/\Gamma$ the D=4 theory has an $AdS_4$ vacuum which uplifts to the known supersymmetric $AdS_4\times H^3/\Gamma\times S^4$ solution of D=11 supergravity that describes the N=2 $d=3$ SCFT arising when M5-branes wrap SLag 3-cycles $H^3/\Gamma$ in Calabi-Yau three-folds. We use the KK reduction for $\Sigma_3=H^3/\Gamma$ to construct D=11 black hole solutions that describe these $d=3$ SCFTs at finite temperature and charge density and show that there is a superconducting instability involving charged scalar fields, and another instability involving neutral fields. We also use this KK reduction to construct a D=11 Lifshitz solution that is dual to a d=3 field theory with dynamical exponent $z\sim 39$.

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Dates: 2010-09-202010
Publication Status: Published in print
Pages: 47 pages
Publishing info: -
Rev. Method: -
Identifiers: arXiv: 1009.3805
URI: http://arxiv.org/abs/1009.3805
DOI: 10.1007/JHEP12(2010)003
Degree: -

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### Source 1

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Title: Journal of High Energy Physics
Source Genre: Journal
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Pages: - Volume / Issue: 2010 (12) Sequence Number: 003 Start / End Page: 1 - 43 Identifier: -