Modular invariance in non-minimal two-dimensional conformal theories

P. Di Francesco; H. Saleur; J. B. Zuber

doi:10.1016/0550-3213(87)90349-X

Modular invariance in non-minimal two-dimensional conformal theories

P. Di Francesco, H. Saleur, J. B. Zuber

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

Abstract

We construct modular invariants in non-minimal conformal theories of central charge c < 1. We show these can also be considered as partition functions of c = 1 theories, and describe a free field with defect lines on a torus. This is applied to the determination of partition functions for critical Q-state Potts and O(n) models, with a special emphasis on the polymer (n = 0) case.

Original language	English (US)
Pages (from-to)	454-480
Number of pages	27
Journal	Nuclear Physics, Section B
Volume	285
Issue number	C
DOIs	https://doi.org/10.1016/0550-3213(87)90349-X
State	Published - 1987
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0550-3213(87)90349-X

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title = "Modular invariance in non-minimal two-dimensional conformal theories",

abstract = "We construct modular invariants in non-minimal conformal theories of central charge c < 1. We show these can also be considered as partition functions of c = 1 theories, and describe a free field with defect lines on a torus. This is applied to the determination of partition functions for critical Q-state Potts and O(n) models, with a special emphasis on the polymer (n = 0) case.",

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doi = "10.1016/0550-3213(87)90349-X",

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AU - Di Francesco, P.

AU - Saleur, H.

AU - Zuber, J. B.

PY - 1987

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AB - We construct modular invariants in non-minimal conformal theories of central charge c < 1. We show these can also be considered as partition functions of c = 1 theories, and describe a free field with defect lines on a torus. This is applied to the determination of partition functions for critical Q-state Potts and O(n) models, with a special emphasis on the polymer (n = 0) case.

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DO - 10.1016/0550-3213(87)90349-X

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Modular invariance in non-minimal two-dimensional conformal theories

Abstract

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