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Mathematics > Algebraic Geometry

arXiv:1807.09038 (math)
[Submitted on 24 Jul 2018 (v1), last revised 2 Nov 2018 (this version, v4)]

Title:Coulomb branches of 3-dimensional gauge theories and related structures

Authors:Alexander Braverman, Michael Finkelberg
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Abstract:These are (somewhat informal) lectures notes for the CIME summer school "Geometric Representation Theory and Gauge Theory" in June 2018. In these notes we review the results and constructions of a series of our joint papers with this http URL where a mathematical definition of Coulomb branches of 3d N=4 quantum gauge theories (of cotangent type) is given. We also discuss some further constructions (such as categories of line operators in the corresponding topologically twisted theories) and briefly discuss a connection to local geometric Langlands correspondence.
Subjects: Algebraic Geometry (math.AG); High Energy Physics - Theory (hep-th); Representation Theory (math.RT)
Cite as: arXiv:1807.09038 [math.AG]
  (or arXiv:1807.09038v4 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1807.09038

Submission history

From: Alexander Braverman [view email]
[v1] Tue, 24 Jul 2018 11:18:19 UTC (47 KB)
[v2] Thu, 26 Jul 2018 12:57:17 UTC (47 KB)
[v3] Wed, 1 Aug 2018 15:37:18 UTC (47 KB)
[v4] Fri, 2 Nov 2018 00:36:34 UTC (48 KB)
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