On modular invariant partition functions of conformal field theories with logarithmic operators

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Michael A.I. Flohr

Externe Organisationen

  • Institute for Advanced Study (IAS)
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)4147-4172
Seitenumfang26
FachzeitschriftInternational Journal of Modern Physics A
Jahrgang11
Ausgabenummer22
PublikationsstatusVeröffentlicht - 1996
Extern publiziertJa

Abstract

We extend the definitions of characters and partition functions to the case of conformal field theories which contain operators with logarithmic correlation functions. As an example we consider the theories with central charge c = cP,1 = 13 -6(p + p-1), the "border" of the discrete minimal series. We show that there is a slightly generalized form of the property of rationality for such logarithmic theories. In particular, we obtain a classification of theories with c = cp,1 which is similar to the A-D-E classification of c = 1 models.

ASJC Scopus Sachgebiete

Zitieren

On modular invariant partition functions of conformal field theories with logarithmic operators. / Flohr, Michael A.I.
in: International Journal of Modern Physics A, Jahrgang 11, Nr. 22, 1996, S. 4147-4172.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Flohr MAI. On modular invariant partition functions of conformal field theories with logarithmic operators. International Journal of Modern Physics A. 1996;11(22):4147-4172. doi: 10.48550/arXiv.hep-th/9509166, 10.1142/S0217751X96001954
Download
@article{c24c76d5fcb84699a3d1420e1ff09297,
title = "On modular invariant partition functions of conformal field theories with logarithmic operators",
abstract = "We extend the definitions of characters and partition functions to the case of conformal field theories which contain operators with logarithmic correlation functions. As an example we consider the theories with central charge c = cP,1 = 13 -6(p + p-1), the {"}border{"} of the discrete minimal series. We show that there is a slightly generalized form of the property of rationality for such logarithmic theories. In particular, we obtain a classification of theories with c = cp,1 which is similar to the A-D-E classification of c = 1 models.",
author = "Flohr, {Michael A.I.}",
year = "1996",
doi = "10.48550/arXiv.hep-th/9509166",
language = "English",
volume = "11",
pages = "4147--4172",
journal = "International Journal of Modern Physics A",
issn = "0217-751X",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "22",

}

Download

TY - JOUR

T1 - On modular invariant partition functions of conformal field theories with logarithmic operators

AU - Flohr, Michael A.I.

PY - 1996

Y1 - 1996

N2 - We extend the definitions of characters and partition functions to the case of conformal field theories which contain operators with logarithmic correlation functions. As an example we consider the theories with central charge c = cP,1 = 13 -6(p + p-1), the "border" of the discrete minimal series. We show that there is a slightly generalized form of the property of rationality for such logarithmic theories. In particular, we obtain a classification of theories with c = cp,1 which is similar to the A-D-E classification of c = 1 models.

AB - We extend the definitions of characters and partition functions to the case of conformal field theories which contain operators with logarithmic correlation functions. As an example we consider the theories with central charge c = cP,1 = 13 -6(p + p-1), the "border" of the discrete minimal series. We show that there is a slightly generalized form of the property of rationality for such logarithmic theories. In particular, we obtain a classification of theories with c = cp,1 which is similar to the A-D-E classification of c = 1 models.

UR - http://www.scopus.com/inward/record.url?scp=1542636691&partnerID=8YFLogxK

U2 - 10.48550/arXiv.hep-th/9509166

DO - 10.48550/arXiv.hep-th/9509166

M3 - Article

AN - SCOPUS:1542636691

VL - 11

SP - 4147

EP - 4172

JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

SN - 0217-751X

IS - 22

ER -