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Partition function of N=(2,2) gauge theories on S^2 and vortices

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If you have a question about this talk, please contact Sungjay Lee.

I will review the basics of rigid supersymmetry on curved spacetimes and of supersymmetric localisation and apply these methods to 2d N=(2,2) supersymmetric field theories of vector and chiral multiplets with a vector U(1) R-symmetry on the round 2-sphere. I will explain two different localisation schemes, leading to the ``Coulomb branch’’ and ``Higgs branch’’ representations of the partition function. Finally, I will briefly overview the potential of these exact results for the study of type II string compactifications, geometry and supersymmetric gauge theories in various dimensions.

This talk is part of the Quantum Fields and Strings Seminars series.

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