The gravity dual of supersymmetric gauge theories on a squashed three-sphere
By D. Martelli, A. Passias, J. Sparks. 2011
155 citations recorded by the source corpus.
We present the gravity dual to a class of three-dimensional N = 2 supersymmetric gauge theories on a U(1) × U(1)-invariant squashed three-sphere, with a non-trivial background gauge field. This is described by a supersymmetric solution of four-dimensional N = 2 gauged supergravity with a non-trivial instanton for the graviphoton field. The particular gauge theory in turn determines the lift to a solution of eleven-dimensional supergravity. We compute the partition function for a class of Chern-Simons quiver gauge theories on both sides of the duality, in the large N limit, finding precise agreement for the functional dependence on the squashing parameter. This constitutes an exact check of the gauge/gravity correspondence in a non-conformally invariant setting.
Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/ef40c6a3fc239115cc5dbfd1fce82b369c33856f
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Nuclear and High Energy Physics
- Cyril Closset
- T. Dumitrescu
- Z. Komargodski
- G. Festuccia
- N. Seiberg
- F. Benini
- J. Maldacena
- Hee-Cheol Kim
In Statistical and Nonlinear Physics
- Cyril Closset
- T. Dumitrescu
- Z. Komargodski
- G. Festuccia
- N. Seiberg
- J. Maldacena
- D. Harlow
- Aitor Lewkowycz
Citations in the corpus
- The geometry of supersymmetric partition functions (2013, background): “Some of the squashings discussed in [43, 46] give γ = 0, i.”
- Exact results for the entanglement entropy and the energy radiated by a quark (2013, background): “In [43] it was also observed that in the localization computation nothing depends on the precise shape of f .”
- Seiberg-Witten theories on ellipsoids (2012, background): “For other recent work on supersymmetric deformations of the round S3 with additional background fields, see [23, 24, 25, 26, 27, 28].”
- Exploring curved superspace (2012, background): “) Recently, it was shown that rigid supersymmetry also exists on certain squashed spheres [13-19].”
- Supersymmetric field theories on three-manifolds (2012, background): “Following [1-4], much work has focused on supersymmetric theories on round and squashed spheres [5-13].”
- Contact terms, unitarity, and F -maximization in three-dimensional superconformal theories (2012, background): “8 Recently, it was found that various squashed spheres also admit rigid supersymmetry [44-50].”