Thursday, January 30 |
Colloquium
Time: 15:30
Speaker: Alex Buchel (Western) Title: "Localization and holography in N=2 gauge theories" Room: MC 107 Abstract: Gauge theory/string theory correspondence maps dynamics of strongly coupled gauge theories to that of the classical supergravity. We describe a highly non-trivial check of the correspondence in the context of Seiberg-Witten models. Specifically, using localization techniques, the path-integral of N=2 supersymmetric SU(Nc) gauge theory can be computed exactly by reducing it to a certain matrix model. In the large-Nc limit the saddle point of the matrix integral picks a particular point on the Coulomb branch of the moduli space. We show that precisely the same point is picked out by the dual gravitational description of the theory. We comment on supersymmetric Wilson loops and the free energy of the theory. |
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