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Coulomb Branch Quantization and Abelianized Monopole Bubbling

Dedushenko, Mykola and Fan, Yale and Pufu, Silviu S. and Yacoby, Ran (2019) Coulomb Branch Quantization and Abelianized Monopole Bubbling. Journal of High Energy Physics, 2019 (10). Art. No. 179. ISSN 1126-6708. doi:10.1007/JHEP10(2019)179.

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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.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Dedushenko, Mykola0000-0002-9273-7602
Pufu, Silviu S.0000-0001-8316-9589
Additional Information:© 2019 The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: September 18, 2019; Accepted: October 6, 2019; Published: October 16, 2019. We thank T. Daniel Brennan, Anindya Dey, Tudor Dimofte, Pavel Etingof, Amihay Hanany, Petr Kravchuk, Dominik Miketa, Hiraku Nakajima, and Takuya Okuda for various discussions and correspondence. YF thanks the members of QMAP, UC Davis for their hospitality. The work of MD was supported by the Walter Burke Institute for Theoretical Physics and the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632, as well as the Sherman Fairchild Foundation. The work of YF was supported in part by the NSF GRFP under Grant No. DGE-1656466 and by the Graduate School at Princeton University. The work of SSP was supported in part by the US NSF under Grant No. PHY-1820651, by the Simons Foundation Grant No. 488651, and by an Alfred P. Sloan Research Fellowship. The work of RY was supported in part by a grant from the Israel Science Foundation Center for Excellence, by the Minerva Foundation with funding from the Federal German Ministry for Education and Research, and by the ISF within the ISF-UGC joint research program framework (grant no. 1200/14).
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
Sherman Fairchild FoundationUNSPECIFIED
NSF Graduate Research FellowshipDGE-1656466
Princeton UniversityUNSPECIFIED
Simons Foundation488651
Alfred P. Sloan FoundationUNSPECIFIED
Israel Science FoundationUNSPECIFIED
Minerva FoundationUNSPECIFIED
Bundesministerium für Bildung und Forschung (BMBF)UNSPECIFIED
ISF-UGC joint research program framework1200/14
Subject Keywords:Extended Supersymmetry; Supersymmetric Gauge Theory; Supersymmetry and Duality; Solitons Monopoles and Instantons
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Other Numbering System NameOther Numbering System ID
Issue or Number:10
Record Number:CaltechAUTHORS:20190116-115750753
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Official Citation:Dedushenko, M., Fan, Y., Pufu, S.S. et al. J. High Energ. Phys. (2019) 2019: 179.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:92322
Deposited By: Joy Painter
Deposited On:16 Jan 2019 22:30
Last Modified:16 Nov 2021 03:49

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