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Gravity duals of supersymmetric gauge theories on curved manifolds

Presented by: 
J Sparks University of Oxford
Thursday 22nd March 2012 - 11:30 to 12:30
INI Seminar Room 1
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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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons