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Title: Coulomb branch quantization and abelianized monopole bubbling

Abstract

We develop an approach to the study of Coulomb branch operators in 3D N = 4 gauge theories and the associated quantization structure of their Coulomb branches. This structure is encoded in a one-dimensional TQFT subsector of the full 3D theory, which we describe by combining several techniques and ideas. The answer takes the form of an associative and noncommutative star product algebra on the Coulomb branch. For “good” and “ugly” theories (according to the Gaiotto-Witten classification), we also exhibit a trace map on this algebra, which allows for the computation of correlation functions and, in particular, guarantees that the star product satisfies a truncation condition. This work extends previous work on abelian theories to the non-abelian case by quantifying the monopole bubbling that describes screening of GNO boundary conditions. In our approach, monopole bubbling is determined from the algebraic consistency of the OPE. This also yields a physical proof of the Bullimore-Dimofte-Gaiotto abelianization description of the Coulomb branch.

Authors:
 [1]; ORCiD logo [2];  [2];  [3]
+ Show Author Affiliations
  1. California Inst. of Technology (CalTech), Pasadena, CA (United States)
  2. Princeton Univ., NJ (United States)
  3. Weizmann Inst. of Science, Rehovot (Israel)
Publication Date:
Research Org.:
California Institute of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1599191
Grant/Contract Number:  
SC0011632
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 10; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Extended Supersymmetry; Supersymmetric Gauge Theory; Supersymmetry and Duality; Solitons Monopoles and Instantons

Citation Formats

Dedushenko, Mykola, Fan, Yale, Pufu, Silviu S., and Yacoby, Ran. Coulomb branch quantization and abelianized monopole bubbling. United States: N. p., 2019. Web. doi:10.1007/JHEP10(2019)179.
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Dedushenko, Mykola, Fan, Yale, Pufu, Silviu S., & Yacoby, Ran. Coulomb branch quantization and abelianized monopole bubbling. United States. https://doi.org/10.1007/JHEP10(2019)179
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Dedushenko, Mykola, Fan, Yale, Pufu, Silviu S., and Yacoby, Ran. Wed . "Coulomb branch quantization and abelianized monopole bubbling". United States. https://doi.org/10.1007/JHEP10(2019)179. https://www.osti.gov/servlets/purl/1599191.
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@article{osti_1599191,
title = {Coulomb branch quantization and abelianized monopole bubbling},
author = {Dedushenko, Mykola and Fan, Yale and Pufu, Silviu S. and Yacoby, Ran},
abstractNote = {We develop an approach to the study of Coulomb branch operators in 3D N = 4 gauge theories and the associated quantization structure of their Coulomb branches. This structure is encoded in a one-dimensional TQFT subsector of the full 3D theory, which we describe by combining several techniques and ideas. The answer takes the form of an associative and noncommutative star product algebra on the Coulomb branch. For “good” and “ugly” theories (according to the Gaiotto-Witten classification), we also exhibit a trace map on this algebra, which allows for the computation of correlation functions and, in particular, guarantees that the star product satisfies a truncation condition. This work extends previous work on abelian theories to the non-abelian case by quantifying the monopole bubbling that describes screening of GNO boundary conditions. In our approach, monopole bubbling is determined from the algebraic consistency of the OPE. This also yields a physical proof of the Bullimore-Dimofte-Gaiotto abelianization description of the Coulomb branch.},
doi = {10.1007/JHEP10(2019)179},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2019,
place = {United States},
year = {Wed Oct 16 00:00:00 EDT 2019},
month = {Wed Oct 16 00:00:00 EDT 2019}
}
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https://doi.org/10.1007/JHEP10(2019)179
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