N=2 Supersymmetric AdS(4) Solutions of M-theory

TY - JOUR

T1 - N=2 Supersymmetric AdS(4) Solutions of M-theory

AU - Gabella, Maxime

AU - Martelli, Dario

AU - Passias, Achilleas

AU - Sparks, James

PY - 2014/1/1

Y1 - 2014/1/1

N2 - We analyse the most general N=2 supersymmetric solutions of D = 11 supergravity consisting of a warped product of four-dimensional anti-de-Sitter space with a seven-dimensional Riemannian manifold Y 7. We show that the necessary and sufficient conditions for supersymmetry can be phrased in terms of a local SU(2)-structure on Y 7. Solutions with non-zero M2-brane charge also admit a canonical contact structure, in terms of which many physical quantities can be expressed, including the free energy and the scaling dimensions of operators dual to supersymmetric wrapped M5-branes. We show that a special class of solutions is singled out by imposing an additional symmetry, for which the problem reduces to solving a second order non-linear ODE. As well as recovering a known class of solutions, that includes the IR fixed point of a mass deformation of the ABJM theory, we also find new solutions which are dual to cubic deformations. In particular, we find a new supersymmetric warped AdS4 × S 7 solution with non-trivial four-form flux.

AB - We analyse the most general N=2 supersymmetric solutions of D = 11 supergravity consisting of a warped product of four-dimensional anti-de-Sitter space with a seven-dimensional Riemannian manifold Y 7. We show that the necessary and sufficient conditions for supersymmetry can be phrased in terms of a local SU(2)-structure on Y 7. Solutions with non-zero M2-brane charge also admit a canonical contact structure, in terms of which many physical quantities can be expressed, including the free energy and the scaling dimensions of operators dual to supersymmetric wrapped M5-branes. We show that a special class of solutions is singled out by imposing an additional symmetry, for which the problem reduces to solving a second order non-linear ODE. As well as recovering a known class of solutions, that includes the IR fixed point of a mass deformation of the ABJM theory, we also find new solutions which are dual to cubic deformations. In particular, we find a new supersymmetric warped AdS4 × S 7 solution with non-trivial four-form flux.

KW - SASAKI-EINSTEIN METRICS

KW - VOLUME MINIMIZATION

KW - SUPERGRAVITY

U2 - 10.1007/s00220-013-1865-0

DO - 10.1007/s00220-013-1865-0

M3 - Article

SN - 0010-3616

VL - 325

SP - 487

EP - 525

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 2

ER -