Gravity duals of supersymmetric gauge theories on curved manifolds

Duration: 1 hour 4 mins 41 secs

About this item

Description:	Sparks, J (University of Oxford) Thursday 22 March 2012, 11:30-12:30


Created:	2012-03-28 13:57
Collection:	Mathematics and Applications of Branes in String and M-theory
Publisher:	Isaac Newton Institute
Copyright:	Sparks, J
Language:	eng (English)


Abstract:	It has recently been shown that one can define three-dimensional N=2 supersymmetric gauge theories on compact curved manifolds (certain squashed spheres and Lens spaces). Moreover, the expectation value of any BPS operator in such a theory localizes, reducing the path integral to a finite dimensional matrix integral. I will explain how to construct gravity duals to a large class of such theories, which have a large N limit. The gravitational free energy is shown to precisely match the corresponding field theory free energy, as a function of geometric parameters in the large N limit.

Abstract:

It has recently been shown that one can define three-dimensional N=2 supersymmetric gauge theories on compact curved manifolds (certain squashed spheres and Lens spaces). Moreover, the expectation value of any BPS operator in such a theory localizes, reducing the path integral to a finite dimensional matrix integral. I will explain how to construct gravity duals to a large class of such theories, which have a large N limit. The gravitational free energy is shown to precisely match the corresponding field theory free energy, as a function of geometric parameters in the large N limit.

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