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Journal Article

Wrapped M5-branes, consistent truncations and AdS/CMT


Varela,  Oscar
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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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.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0012-C958-A
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 $z\sim 39$.