Conformal manifolds with boundaries or defects

Karch, Andreas; Sato, Yoshiki

doi:10.1007/jhep07(2018)156

Title: Conformal manifolds with boundaries or defects

Abstract

We discuss conformal manifolds for conformal field theories with boundaries or defects. Using conformal perturbation theory we derive constraints on coefficients appearing in the boundary operator product expansion and three-point functions that need to be satisfied for the existence of marginal couplings. We present several explicit examples where we confirm that β-functions vanish using a position space regularization, differential regularization. Where possible, we confirm that our β-function results agree with the existing literature.

Authors:

Karch, Andreas ^[1];

^[2]

Univ. of Washington, Seattle, WA (United States). Dept. of Physics
Univ. of Tokyo (Japan). Dept. of Physics

Publication Date:: 2018-07-25

Research Org.:: Univ. of Washington, Seattle, WA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1499383

Alternate Identifier(s):: OSTI ID: 1595222

Grant/Contract Number:: SC0011637

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: 2018; Journal Issue: 7; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Conformal Field Theory; Field Theories in Higher Dimensions; AdS-CFT Correspondence

Citation Formats


                    Karch, Andreas, and Sato, Yoshiki. Conformal manifolds with boundaries or defects.  United States: N. p., 2018. 
Web.  doi:10.1007/jhep07(2018)156.

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                    Karch, Andreas, & Sato, Yoshiki. Conformal manifolds with boundaries or defects.  United States.  https://doi.org/10.1007/jhep07(2018)156

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                    Karch, Andreas, and Sato, Yoshiki. Wed .  
"Conformal manifolds with boundaries or defects".  United States.  https://doi.org/10.1007/jhep07(2018)156.  https://www.osti.gov/servlets/purl/1499383.

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@article{osti_1499383,

  title        = {Conformal manifolds with boundaries or defects},

  author       = {Karch, Andreas and Sato, Yoshiki},

  abstractNote = {We discuss conformal manifolds for conformal field theories with boundaries or defects. Using conformal perturbation theory we derive constraints on coefficients appearing in the boundary operator product expansion and three-point functions that need to be satisfied for the existence of marginal couplings. We present several explicit examples where we confirm that β-functions vanish using a position space regularization, differential regularization. Where possible, we confirm that our β-function results agree with the existing literature.},

  doi          = {10.1007/jhep07(2018)156},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 7,

  volume       = 2018,

  place        = {United States},

  year         = {2018},

  month        = {7}

}

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Works referenced in this record:

Super Janus
text, January 2005

Clark, A. B.; Karch, A.
arXiv
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Boundary conformal field theory and a boundary central charge
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The random-bond Ising model in 2.01 and 3 dimensions
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journal, November 2017

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Works referencing / citing this record:

An analytic approach to BCFTd
journal, December 2019

Mazáč, Dalimil; Rastelli, Leonardo; Zhou, Xinan
Journal of High Energy Physics, Vol. 2019, Issue 12
DOI: 10.1007/jhep12(2019)004

An Analytic Approach to BCFT$_d$
text, January 2018

Mazáč, Dalimil; Rastelli, Leonardo; Zhou, Xinan
arXiv
DOI: 10.48550/arxiv.1812.09314

Correlators of Mixed Symmetry Operators in Defect CFTs
text, January 2018

Guha, Sunny; Nagaraj, Balakrishnan
arXiv
DOI: 10.48550/arxiv.1805.12341

Correlators of mixed symmetry operators in defect CFTs
journal, October 2018

Guha, Sunny; Nagaraj, Balakrishnan
Journal of High Energy Physics, Vol. 2018, Issue 10
DOI: 10.1007/jhep10(2018)198

3d Abelian gauge theories at the boundary
journal, May 2019

Di Pietro, Lorenzo; Gaiotto, Davide; Lauria, Edoardo
Journal of High Energy Physics, Vol. 2019, Issue 5
DOI: 10.1007/jhep05(2019)091

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Similar Records

Title: Conformal manifolds with boundaries or defects

Abstract

Citation Formats

Super Janus text, January 2005

The bootstrap program for boundary CFT d journal, July 2013

Supersymmetric Janus solutions in five and ten dimensions journal, September 2011

Super Janus journal, October 2005

Conformal field theories near a boundary in general dimensions journal, September 1995

Dual of the Janus solution: An interface conformal field theory journal, March 2005

Action principle for OPE text, January 2017

Sewing constraints for conformal field theories on surfaces with boundaries journal, March 1992

Ten-dimensional supersymmetric Janus solutions journal, November 2006

Exactly marginal operators and duality in four dimensional N = 1 supersymmetric gauge theory journal, July 1995

Differential regularization and renormalization: a new method of calculation in quantum field theory journal, March 1992

Conformal perturbation theory beyond the leading order journal, February 2009

Boundary conformal field theory and a boundary central charge journal, October 2017

The random-bond Ising model in 2.01 and 3 dimensions journal, March 2017

On non-supersymmetric conformal manifolds: field theory and holography journal, November 2017

Electromagnetic current correlations in reduced quantum electrodynamics journal, July 2012

Conformal manifolds: ODEs from OPEs journal, March 2018

Continuously varying exponents and the value of the central charge journal, September 1987

Action principle for OPE journal, January 2018

A dilatonic deformation of AdS 5 and its field theory dual journal, May 2003

Exact half-BPS type IIB interface solutions I: local solution and supersymmetric Janus journal, June 2007

An analytic approach to BCFTd journal, December 2019

An Analytic Approach to BCFT$_d$ text, January 2018

Correlators of Mixed Symmetry Operators in Defect CFTs text, January 2018

Correlators of mixed symmetry operators in defect CFTs journal, October 2018

3d Abelian gauge theories at the boundary journal, May 2019

Super Janus
text, January 2005

The bootstrap program for boundary CFT d
journal, July 2013

Supersymmetric Janus solutions in five and ten dimensions
journal, September 2011

Super Janus
journal, October 2005

Conformal field theories near a boundary in general dimensions
journal, September 1995

Dual of the Janus solution: An interface conformal field theory
journal, March 2005

Action principle for OPE
text, January 2017

Sewing constraints for conformal field theories on surfaces with boundaries
journal, March 1992

Ten-dimensional supersymmetric Janus solutions
journal, November 2006

Exactly marginal operators and duality in four dimensional N = 1 supersymmetric gauge theory
journal, July 1995

Differential regularization and renormalization: a new method of calculation in quantum field theory
journal, March 1992

Conformal perturbation theory beyond the leading order
journal, February 2009

Boundary conformal field theory and a boundary central charge
journal, October 2017

The random-bond Ising model in 2.01 and 3 dimensions
journal, March 2017

On non-supersymmetric conformal manifolds: field theory and holography
journal, November 2017

Electromagnetic current correlations in reduced quantum electrodynamics
journal, July 2012

Conformal manifolds: ODEs from OPEs
journal, March 2018

Continuously varying exponents and the value of the central charge
journal, September 1987

Action principle for OPE
journal, January 2018

A dilatonic deformation of AdS ₅ and its field theory dual
journal, May 2003

Exact half-BPS type IIB interface solutions I: local solution and supersymmetric Janus
journal, June 2007

An analytic approach to BCFTd
journal, December 2019

An Analytic Approach to BCFT$_d$
text, January 2018

Correlators of Mixed Symmetry Operators in Defect CFTs
text, January 2018

Correlators of mixed symmetry operators in defect CFTs
journal, October 2018

3d Abelian gauge theories at the boundary
journal, May 2019