Towards a mathematical definition of Coulomb branches of 3-dimensional N = 4 gauge theories, II

Alexander Braverman; Michael Finkelberg; Hiraku Nakajima

doi:10.4310/ATMP.2018.V22.N5.A1

Towards a mathematical definition of Coulomb branches of 3-dimensional N = 4 gauge theories, II

Alexander Braverman
, Michael Finkelberg
, Hiraku Nakajima^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

148 Scopus citations

Abstract

Consider the 3-dimensional N = 4 supersymmetric gauge theory associated with a compact Lie group G_c and its quaternionic representation M. Physicists study its Coulomb branch, which is a noncompact hyper-Kahler manifold with an SU(2)-action, possibly with singularities. We give a mathematical definition of the Coulomb branch as an affine algebraic variety with (Formula presented)^x-action when M is of a form N (Formula presented) N*, as the second step of the proposal given in [Nak16].

Original language	English
Pages (from-to)	1071-1147
Number of pages	77
Journal	Advances in Theoretical and Mathematical Physics
Volume	22
Issue number	5
DOIs	https://doi.org/10.4310/ATMP.2018.V22.N5.A1
State	Published - 2018
Externally published	Yes

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Towards a mathematical definition of Coulomb branches of 3-dimensional N = 4 gauge theories, II

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