On the real part of a conformal field theory

Doron Gepner; Hervé Partouche

doi:10.3390/universe4090097

On the real part of a conformal field theory

Doron Gepner, Hervé Partouche

Weizmann Institute of Science Israel

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
Journal	Universe
Volume	4
Issue number	9
DOIs	https://doi.org/10.3390/universe4090097
Publication status	Published - 1 Sept 2018

Keywords

Conformal field theory
String theory

Access to Document

10.3390/universe4090097

Cite this

@article{0654bee6524b4ea8bde5e48e99d605ca,

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.",

keywords = "Conformal field theory, String theory",

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

note = "Publisher Copyright: {\textcopyright} 2018 by the authors.",

year = "2018",

month = sep,

day = "1",

doi = "10.3390/universe4090097",

language = "English",

volume = "4",

journal = "Universe",

issn = "2218-1997",

number = "9",

}

TY - JOUR

T1 - On the real part of a conformal field theory

AU - Gepner, Doron

AU - Partouche, Hervé

PY - 2018/9/1

Y1 - 2018/9/1

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.

KW - Conformal field theory

KW - String theory

U2 - 10.3390/universe4090097

DO - 10.3390/universe4090097

M3 - Article

AN - SCOPUS:85064393249

SN - 2218-1997

VL - 4

JO - Universe

JF - Universe

IS - 9

M1 - 97

ER -

On the real part of a conformal field theory

Abstract

Keywords

Access to Document

Fingerprint

Cite this