Title	The Coulomb Branch of 3d N = 4 Gauge Theories
Creator	Dimofte, Tudor
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2015-05-26T14:03
Description	The moduli space of a 3d N = 4 gauge theory contains at least two branches, typically referred to as Higgs and Coulomb. Both are hyperkahler manifolds with some special properties, but while the Higgs branch has a straightforward classical construction, the Coulomb branch is affected by quantum corrections and has long remained mysterious. I will discuss a physically motivated construction of both the ring of holomorphic functions on the Coulomb branch and its hyperkahler structure. I also hope to touch upon boundary conditions in 3d N = 4 gauge theories, and their images on the Higgs and Coulomb branches, which tie 3d N = 4 gauge theory to geometric representation theory in mathematics. This project was initially motivated by constructions of knot homology using the 6d (2,0) theory; 3d N = 4 3 theories also arise naturally from compactification of the 6d (2,0) theory on a surface and an additional circle. (Joint work with M. Bullimore, D. Gaiotto, and J. Hilburn.)
Extent	70 minutes
Subject	Mathematics; Geometry; Quantum theory; Mathematical physics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Institute for Advanced Study
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2016-12-17
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0340374
URI	http://hdl.handle.net/2429/60019
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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The Coulomb Branch of 3d N = 4 Gauge Theories Dimofte, Tudor

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