Twist gap and global symmetry in two dimensions

Benjamin, Nathan; Ooguri, Hirosi; Shao, Shu-Heng; Wang, Yifan

doi:10.1103/PhysRevD.101.106026

Title: 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:

;

; Wang, Yifan

Publication Date:: 2020-05-26

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.

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                    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

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                    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.

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@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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Works referenced in this record:

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Similar Records

Title: Twist gap and global symmetry in two dimensions

Abstract

Citation Formats

Determinant formulae and unitarity for the N = 2 superconformal algebras in two dimensions or exact results on string compactification journal, May 1986

Quantum gravity partition functions in three dimensions journal, February 2010

Operator content of two-dimensional conformally invariant theories journal, January 1986

Modular bootstrap revisited journal, September 2018

Comments on the N = 2,3,4 superconformal algebras in two dimensions journal, January 1987

Characters of the unitarizable highest weight modules over the N = 2 superconformal algebras journal, February 1987

Anomalies and bounds on charged operators journal, July 2019

Extension of n = 2 Superconformal Algebra and Calabi-Yau Compactification journal, March 1989

Two-dimensional SCFTs from wrapped branes and c-extremization journal, June 2013

Light-cone modular bootstrap and pure gravity journal, September 2019

Character Formulae and the Structure of the Representations of the n=1, n=2 Superconformal Algebras journal, August 1988

Poincaré series, 3D gravity and CFT spectroscopy journal, February 2015

On the unitary representations of N=2 and N=4 superconformal algebras journal, August 1988

Symmetries and strings in field theory and gravity journal, April 2011

On finite symmetries and their gauging in two dimensions journal, March 2018

Universal bounds on charged states in 2d CFT and 3d gravity journal, August 2016

Topological defect lines and renormalization group flows in two dimensions journal, January 2019

Monopoles, Duality, and String Theory journal, February 2004

Determinant formulae and unitarity for the N = 2 superconformal algebras in two dimensions or exact results on string compactification
journal, May 1986

Quantum gravity partition functions in three dimensions
journal, February 2010

Operator content of two-dimensional conformally invariant theories
journal, January 1986

Modular bootstrap revisited
journal, September 2018

Comments on the N = 2,3,4 superconformal algebras in two dimensions
journal, January 1987

Characters of the unitarizable highest weight modules over the N = 2 superconformal algebras
journal, February 1987

Anomalies and bounds on charged operators
journal, July 2019

Extension of n = 2 Superconformal Algebra and Calabi-Yau Compactification
journal, March 1989

Two-dimensional SCFTs from wrapped branes and c-extremization
journal, June 2013

Light-cone modular bootstrap and pure gravity
journal, September 2019

Character Formulae and the Structure of the Representations of the n=1, n=2 Superconformal Algebras
journal, August 1988

Poincaré series, 3D gravity and CFT spectroscopy
journal, February 2015

On the unitary representations of N=2 and N=4 superconformal algebras
journal, August 1988

Symmetries and strings in field theory and gravity
journal, April 2011

On finite symmetries and their gauging in two dimensions
journal, March 2018

Universal bounds on charged states in 2d CFT and 3d gravity
journal, August 2016

Topological defect lines and renormalization group flows in two dimensions
journal, January 2019

Monopoles, Duality, and String Theory
journal, February 2004