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Twist Gap and Global Symmetry in Two Dimensions

Benjamin, Nathan and Ooguri, Hirosi and Shao, Shu-Heng and Wang, Yifan (2020) Twist Gap and Global Symmetry in Two Dimensions. Physical Review D, 101 (10). Art. No. 106026. ISSN 2470-0010. doi:10.1103/PhysRevD.101.106026.

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We show that every compact, unitary two-dimensional conformal field theory with an Abelian conserved current has vanishing twist gap for charged primary fields with respect to the u(1)×Virasoro algebra. This means that either the chiral algebra is enhanced by a charged primary field with zero twist or there is an infinite family of charged primary fields that accumulate to zero twist.

Item Type:Article
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URLURL TypeDescription Paper
Benjamin, Nathan0000-0003-3661-6563
Ooguri, Hirosi0000-0001-6021-3778
Shao, Shu-Heng0000-0003-1294-2786
Wang, Yifan0000-0001-9965-9777
Additional Information:© 2020 Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3. Received 14 March 2020; accepted 13 May 2020; published 26 May 2020. We thank Igor Klebanov, Petr Kravchuk, Ying-Hsuan Lin, Juan Maldacena, and Xi Yin for interesting discussions. The work of N. B. is supported in part by the Simons Foundation Grant No. 488653. The work of H. O. is supported in part by U.S. Department of Energy Grant No. DE-SC0011632, by the World Premier International Research Center Initiative, MEXT, Japan, by JSPS Grant-in-Aid for Scientific Research C-26400240, and by JSPS Grant-in-Aid for Scientific Research on Innovative Areas 15H05895. The work of S.-H. S. is supported by the Simons Collaboration on Ultra-Quantum Matter, which is a grant from the Simons Foundation (Grant No. 651440, N. S.). The work of Y. W. is supported in part by the U.S. NSF under Grant No. PHY-1620059 and by the Simons Foundation Grant No. 488653. We thank the Aspen Center for Theoretical Physics, which is supported by the National Science Foundation Grant No. PHY-1607611, where this work was initiated.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Simons Foundation488653
Department of Energy (DOE)DE-SC0011632
Japan Society for the Promotion of Science (JSPS)C-26400240
Japan Society for the Promotion of Science (JSPS)15H05895
Simons Foundation651440
Ministry of Education, Culture, Sports, Science and Technology (MEXT)UNSPECIFIED
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Issue or Number:10
Record Number:CaltechAUTHORS:20200408-133007156
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:102405
Deposited By: Joy Painter
Deposited On:08 Apr 2020 20:41
Last Modified:16 Nov 2021 18:11

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