Coulomb Branches of 3-Dimensional Gauge Theories and Related Structures

Alexander Braverman,Michael Finkelberg

doi:10.1007/978-3-030-26856-5_1

Coulomb Branches of 3-Dimensional Gauge Theories and Related Structures

Alexander Braverman, Michael Finkelberg

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https://doi.org/10.1007/978-3-030-26856-5_1

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Publication Date: Jan 1, 2019

Citations: 18

Affiliation: Perimeter Institute, University of Toronto, Skolkovo Institute of Science and Technology, National Research University Higher School of Economics, Institute for Information Transmission Problems

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Abstract

These are (somewhat informal) lecture notes for the CIME summer school “Geometric Representation Theory and Gauge Theory” in June 2018. In these notes we review the constructions and results of Braverman et al. (Adv Theor Math Phys 22(5):1017–1147, 2018; Adv Theor Math Phys 23(1):75–166, 2019; Adv Theor Math Phys 23(2):253–344, 2019) where a mathematical definition of Coulomb branches of 3d N = 4 quantum gauge theories (of cotangent type) is given, and also present a framework for studying some further mathematical structures (e.g. categories of line operators in the corresponding topologically twisted theories) related to these theories.

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