Wrapped M5-branes, consistent truncations and AdS/CMT

By Aristomenis Donos, J. Gauntlett, Nakwoo Kim, O. Varela. 2010

143 citations recorded by the source corpus.

At the level of the bosonic fields, we construct consistent Kaluza-Klein reductions of D = 11 supergravity on Σ3 × S4, where Σ3 = H3/Γ, S3/Γ or R3/Γ where Γ 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) × G2(2)/SO(4). When Σ3 = H3/Γ the D = 4 theory has an AdS4 vacuum which uplifts to the known supersymmetric AdS4 × H3/Γ × S4 solution of D = 11 supergravity that describes the N = 2 d = 3 SCFT arising when M5-branes wrap SLag 3-cycles H3/Γ in Calabi-Yau three-folds. We use the KK reduction for Σ3 = H3/Γ 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 a charged scalar field, and another instability involving neutral fields including both scalar and vector 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 ∼ 39.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/5a999667efedd0cf71fdfa2277e6c8596a623559

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Citations in the corpus

What Can Gauge-Gravity Duality Teach Us about Condensed Matter Physics? (2011, background): “[78] A.”
Holographic entanglement entropy in Lovelock gravities (2011, unknown): “Recently, Lifshitz geometries have been embedded in string theory [79-82].”
Holographic striped phases (2011, background): “The second case is the consistent KK reduction of D = 11 supergravity on H3×S(4) where H(3) is three-dimensional hyperbolic space [25] (in fact H(3) can be replaced by an arbitrary quotient H(3)/Γ).”
Lifshitz scaling and hyperscaling violation in string theory (2012, background): “These Lifshitz spacetimes arise in effective gravity theories with a negative cosmological constant with abelian gauge fields [3, 4], and in various constructions in string theory [5, 6, 7, 8, 9, 10, 11, 12, 13] (see also earlier work [14, 15, 16, 17, 18]).”
Holographic Fermi and non-Fermi liquids with transitions in dilaton gravity (2011, background): “For some progress towards providing such embeddings see [35], [36] (34).”
Thermodynamics and instabilities of a strongly coupled anisotropic plasma (2011, methodology): “(2)Embeddings of Lifshitz geometries in string theory were constructed in [74, 75, 76, 77, 78, 79, 80, 81, 82].”
Lifshitz holography (2015, background): “As isolated embedding with z ∼ 39 was found in [57]; it remains unclear why this specific value of z was realised.”
Spatially modulated instabilities of magnetic black branes (2011, background): “We next consider the consistent truncation of D = 11 supergravity on S(4) × H(3) to a D = 4 N = 2 gauged supergravity that was derived in [36].”