Twist gap and global symmetry in two dimensions
Abstract
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 $$\mathfrak{u}$$(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.
- Authors:
- Publication Date:
- Research Org.:
- California Institute of Technology (CalTech), Pasadena, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); Simons Foundation; Ministry of Education, Culture, Sports, Science and Technology (MEXT); Japan Society for the Promotion of Science (JSPS); National Science Foundation (NSF)
- OSTI Identifier:
- 1630787
- Alternate Identifier(s):
- OSTI ID: 1802225
- Grant/Contract Number:
- SC0011632; 488653; C-26400240; 15H05895; 651440; PHY-1620059; PHY-1607611
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 101 Journal Issue: 10; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics
Citation Formats
Benjamin, Nathan, Ooguri, Hirosi, Shao, Shu-Heng, and Wang, Yifan. Twist gap and global symmetry in two dimensions. United States: N. p., 2020.
Web. doi:10.1103/PhysRevD.101.106026.
Benjamin, Nathan, Ooguri, Hirosi, Shao, Shu-Heng, & Wang, Yifan. Twist gap and global symmetry in two dimensions. United States. https://doi.org/10.1103/PhysRevD.101.106026
Benjamin, Nathan, Ooguri, Hirosi, Shao, Shu-Heng, and Wang, Yifan. Tue .
"Twist gap and global symmetry in two dimensions". United States. https://doi.org/10.1103/PhysRevD.101.106026.
@article{osti_1630787,
title = {Twist gap and global symmetry in two dimensions},
author = {Benjamin, Nathan and Ooguri, Hirosi and Shao, Shu-Heng and Wang, Yifan},
abstractNote = {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 $\mathfrak{u}$(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.},
doi = {10.1103/PhysRevD.101.106026},
journal = {Physical Review D},
number = 10,
volume = 101,
place = {United States},
year = {2020},
month = {5}
}
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https://doi.org/10.1103/PhysRevD.101.106026
https://doi.org/10.1103/PhysRevD.101.106026
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Cited by: 1 work
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Works referenced in this record:
Determinant formulae and unitarity for the N = 2 superconformal algebras in two dimensions or exact results on string compactification
journal, May 1986
- Boucher, Wayne; Friedan, Daniel; Kent, Adrian
- Physics Letters B, Vol. 172, Issue 3-4
Quantum gravity partition functions in three dimensions
journal, February 2010
- Maloney, Alexander; Witten, Edward
- Journal of High Energy Physics, Vol. 2010, Issue 2
Operator content of two-dimensional conformally invariant theories
journal, January 1986
- Cardy, John L.
- Nuclear Physics B, Vol. 270
Modular bootstrap revisited
journal, September 2018
- Collier, Scott; Lin, Ying-Hsuan; Yin, Xi
- Journal of High Energy Physics, Vol. 2018, Issue 9
Comments on the N = 2,3,4 superconformal algebras in two dimensions
journal, January 1987
- Schwimmer, A.; Seiberg, N.
- Physics Letters B, Vol. 184, Issue 2-3
Characters of the unitarizable highest weight modules over the N = 2 superconformal algebras
journal, February 1987
- Dobrev, V. K.
- Physics Letters B, Vol. 186, Issue 1
Anomalies and bounds on charged operators
journal, July 2019
- Lin, Ying-Hsuan; Shao, Shu-Heng
- Physical Review D, Vol. 100, Issue 2
Extension of n = 2 Superconformal Algebra and Calabi-Yau Compactification
journal, March 1989
- Odake, Satoru
- Modern Physics Letters A, Vol. 04, Issue 06
Two-dimensional SCFTs from wrapped branes and c-extremization
journal, June 2013
- Benini, Francesco; Bobev, Nikolay
- Journal of High Energy Physics, Vol. 2013, Issue 6
Light-cone modular bootstrap and pure gravity
journal, September 2019
- Benjamin, Nathan; Ooguri, Hirosi; Shao, Shu-Heng
- Physical Review D, Vol. 100, Issue 6
Character Formulae and the Structure of the Representations of the n=1, n=2 Superconformal Algebras
journal, August 1988
- Kiritsis, Elias B.
- International Journal of Modern Physics A, Vol. 03, Issue 08
Poincaré series, 3D gravity and CFT spectroscopy
journal, February 2015
- Keller, Christoph A.; Maloney, Alexander
- Journal of High Energy Physics, Vol. 2015, Issue 2
On the unitary representations of N=2 and N=4 superconformal algebras
journal, August 1988
- Eguchi, Tohru; Taormina, Anne
- Physics Letters B, Vol. 210, Issue 1-2
Symmetries and strings in field theory and gravity
journal, April 2011
- Banks, Tom; Seiberg, Nathan
- Physical Review D, Vol. 83, Issue 8
On finite symmetries and their gauging in two dimensions
journal, March 2018
- Bhardwaj, Lakshya; Tachikawa, Yuji
- Journal of High Energy Physics, Vol. 2018, Issue 3
Universal bounds on charged states in 2d CFT and 3d gravity
journal, August 2016
- Benjamin, Nathan; Dyer, Ethan; Fitzpatrick, A. Liam
- Journal of High Energy Physics, Vol. 2016, Issue 8
Topological defect lines and renormalization group flows in two dimensions
journal, January 2019
- Chang, Chi-Ming; Lin, Ying-Hsuan; Shao, Shu-Heng
- Journal of High Energy Physics, Vol. 2019, Issue 1
Monopoles, Duality, and String Theory
journal, February 2004
- Polchinski, Joe
- International Journal of Modern Physics A, Vol. 19, Issue supp01