On the real part of a conformal field theory

Doron Gepner; Hervé Partouche

doi:https://doi.org/10.3390/universe4090097

On the real part of a conformal field theory

Doron Gepner, Hervé Partouche

Department of Particle Physics and Astrophysics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

Abstract

Every conformal field theory has the symmetry of taking each field to its adjoint. We consider here the quotient (orbifold) conformal field theory obtained by twisting with respect to this symmetry. A general method for computing such quotients is developed using the Coulomb gas representation. Examples of parafermions, SU(2) current algebra and the N = 2 minimal models are described explicitly. The partition functions and the dimensions of the disordered fields are given. This result is a tool for finding new theories. For instance, it is of importance in analyzing the conformal field theories of exceptional holonomy manifolds.

Original language	English
Article number	97
Number of pages	6
Journal	Universe
Volume	4
Issue number	9
DOIs	https://doi.org/10.3390/universe4090097
State	Published - Sep 2018

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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title = "On the real part of a conformal field theory",

abstract = "Every conformal field theory has the symmetry of taking each field to its adjoint. We consider here the quotient (orbifold) conformal field theory obtained by twisting with respect to this symmetry. A general method for computing such quotients is developed using the Coulomb gas representation. Examples of parafermions, SU(2) current algebra and the N = 2 minimal models are described explicitly. The partition functions and the dimensions of the disordered fields are given. This result is a tool for finding new theories. For instance, it is of importance in analyzing the conformal field theories of exceptional holonomy manifolds.",

author = "Doron Gepner and Herv{\'e} Partouche",

note = "We thank CERN for the kind hospitality. H.P. would like to thank Weizmann Institute of Science for hospitality. This research received no external funding. Both authors contributed equally to this work.",

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T1 - On the real part of a conformal field theory

AU - Gepner, Doron

AU - Partouche, Hervé

N1 - We thank CERN for the kind hospitality. H.P. would like to thank Weizmann Institute of Science for hospitality. This research received no external funding. Both authors contributed equally to this work.

PY - 2018/9

Y1 - 2018/9

N2 - Every conformal field theory has the symmetry of taking each field to its adjoint. We consider here the quotient (orbifold) conformal field theory obtained by twisting with respect to this symmetry. A general method for computing such quotients is developed using the Coulomb gas representation. Examples of parafermions, SU(2) current algebra and the N = 2 minimal models are described explicitly. The partition functions and the dimensions of the disordered fields are given. This result is a tool for finding new theories. For instance, it is of importance in analyzing the conformal field theories of exceptional holonomy manifolds.

AB - Every conformal field theory has the symmetry of taking each field to its adjoint. We consider here the quotient (orbifold) conformal field theory obtained by twisting with respect to this symmetry. A general method for computing such quotients is developed using the Coulomb gas representation. Examples of parafermions, SU(2) current algebra and the N = 2 minimal models are described explicitly. The partition functions and the dimensions of the disordered fields are given. This result is a tool for finding new theories. For instance, it is of importance in analyzing the conformal field theories of exceptional holonomy manifolds.

U2 - https://doi.org/10.3390/universe4090097

DO - https://doi.org/10.3390/universe4090097

M3 - مقالة

SN - 2218-1997

VL - 4

JO - Universe

JF - Universe

IS - 9

M1 - 97

ER -

On the real part of a conformal field theory

Abstract

All Science Journal Classification (ASJC) codes

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