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Weekly seminar of Laboratory of algebraic geometry
December 17, 2014 17:00, Moscow, Vavilova, 7
 


Coulomb branches of 3d N=4 gauge theories and the affine Grassmannian

H. Nakajima

Kyoto University

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Abstract: We propose a mathematically rigorous definition of Coulomb branch of a 3d N=4 SUSY gauge theory, as an affine algebraic variety, based on the homology group of a variant of the affine Grassmannian. In particular, coordinate rings of various hyper-Kaehler manifolds, such as instanton moduli spaces on ALE spaces, nilpotent orbits, etc, are conjecturally given by such a construction.

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