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- The Geometry of Supersymmetric Partition Functions

Three-dimensional N=2

theories with a U(1)_R symmetry, can be placed on a compact three manifold M

preserving some supersymmetry if and only if M admits a transversely

holomorphic foliation (THF). I will show that the partition function of the

resulting theory is independent of the metric and depends holomorphically on

the moduli of the THF. When applied to supersymmetric field theories on

manifolds diffeomorphic to S^3 and S^2 x S^1, this result explains many of the

properties observed in explicit determinations of their partition functions.

Event Type:

Seminar

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Scientific Area(s):

Speaker(s):

Event Date:

Tuesday, October 29, 2013 - 14:00 to 15:30

Location:

Time Room

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