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Factorization of N=2 theories partition functions on the squashed 3-sphere

Tuesday 21st February 2012 - 14:00 to 15:00
INI Seminar Room 1
We show that partition functions of N=2 theories on the squashed 3-sphere can be factorized into pairs of vortex theories defined on the two copies of R^2 x S1, corresponding to the two degeneration limits of the ellipsoid. We comment on how the ellipsoid partition function appears to provide the modular invariant non-perturbative completion of the vortex theory. We conclude with the geometrical engineering of the vortex theory.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons