Oscar Varela

Wrapped M5-branes, consistent truncations and AdS/CMT

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.

Universal Kaluza-Klein reductions of type IIB to N = 4 supergravity in five dimensions

We construct explicit consistent Kaluza–Klein reductions of type IIB supergravity on HK4 ×S1, where HK4 is an arbitrary four-dimensional hyper-Kähler manifold, and on SE5, an arbitrary five-dimensional Sasaki–Einstein manifold. In the former case we obtain the bosonic action of D = 5 N = 4 (ungauged) supergravity coupled to two vector multiplets. For the SE5 case we extend a known reduction, which leads to minimal D = 5 N = 2 gauged supergravity, to also include a multiplet of massive fields, containing the breathing mode of the SE5. We show that the resulting D = 5 action is also consistent with N = 4 gauged supergravity coupled to two vector multiplets. This theory has a supersymmetric AdS5 vacuum, which uplifts to the class of supersymmetric AdS5 × SE5 solutions, that spontaneously breaks N = 4 to N = 2, and also a non-supersymmetric AdS5 vacuum which uplifts to a class of solutions first found by Romans.

Non-relativistic M-Theory solutions based on Kahler-Einstein spaces

We present new families of non-supersymmetric solutions of D = 11 supergravity with non-relativistic symmetry, based on six-dimensional Kahler-Einstein manifolds. In constructing these solutions, we make use of a consistent reduction to a five-dimensional gravity theory coupled to a massive scalar and vector field. This theory admits a non-relativistic CFT dual with dynamical exponent z = 4, which may be uplifted to D = 11 supergravity. Finally, we generalise this solution and find new solutions with various z, including z = 2.

Consistent reductions from D=11 beyond Sasaki-Einstein

Abstract The most general class of warped A d S 5 × M 6 w supersymmetric solutions in D = 11 supergravity permits a consistent truncation to D = 5 N = 2 minimal gauged supergravity. Here we extend this truncation, for a particular subclass of M 6 manifolds, to D = 5 N = 4 gauged supergravity coupled to two vector multiplets. We obtain the reduction ansatz by T-duality of a recently discussed type IIB truncation on a generic Sasaki–Einstein five-fold, which becomes non-trivial in D = 11 and displays non-standard features due to the G-structure of the internal M 6 . Using this truncation, we construct two new classes of warped and unwarped non-supersymmetric A d S 5 M-theory backgrounds. We also comment on possible extensions of the reduction ansatz to the general class of M 6 geometries.

Romans-mass-driven flows on the D2-brane

A bstractThe addition of supersymmetric Chern-Simons terms to N=8

Massive spin 2 excitationsin AdS_6 x S^2 warped spacetimes

\mathcal{N}=8

{\cal N}=3

super-Yang-Mills theory in three-dimensions is expected to make the latter flow into infrared super-conformal phases. We address this problem holographically by studying the effect of the Romans mass on the D2-brane near-horizon geometry. Working in a consistent, effective four-dimensional setting provided by D = 4 N=8