Two-dimensional RCFT’s without Kac-Moody symmetry

Harsha R. Hampapura; Sunil Mukhi

doi:10.1007/JHEP07(2016)138

Two-dimensional RCFT’s without Kac-Moody symmetry

Harsha R. Hampapura, Sunil Mukhi

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

35 Scopus citations

Abstract

Abstract: Using the method of modular-invariant differential equations, we classify a family of Rational Conformal Field Theories with two and three characters having no Kac-Moody algebra. In addition to unitary and non-unitary minimal models, we find “dual” theories whose characters obey bilinear relations with those of the minimal models to give the Moonshine Module. In some ways this relation is analogous to cosets of meromorphic CFT’s. The theory dual in this sense to the Ising model has central charge 472 and is related to the Baby Monster Module.

Original language	English
Article number	138
Journal	Journal of High Energy Physics
Volume	2016
Issue number	7
DOIs	https://doi.org/10.1007/JHEP07(2016)138
State	Published - Jul 1 2016
Externally published	Yes

Keywords

Conformal and W Symmetry
Field Theories in Lower Dimensions
Integrable Field Theories

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10.1007/JHEP07(2016)138

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abstract = "Abstract: Using the method of modular-invariant differential equations, we classify a family of Rational Conformal Field Theories with two and three characters having no Kac-Moody algebra. In addition to unitary and non-unitary minimal models, we find “dual” theories whose characters obey bilinear relations with those of the minimal models to give the Moonshine Module. In some ways this relation is analogous to cosets of meromorphic CFT{\textquoteright}s. The theory dual in this sense to the Ising model has central charge 472 and is related to the Baby Monster Module.",

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AU - Mukhi, Sunil

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N2 - Abstract: Using the method of modular-invariant differential equations, we classify a family of Rational Conformal Field Theories with two and three characters having no Kac-Moody algebra. In addition to unitary and non-unitary minimal models, we find “dual” theories whose characters obey bilinear relations with those of the minimal models to give the Moonshine Module. In some ways this relation is analogous to cosets of meromorphic CFT’s. The theory dual in this sense to the Ising model has central charge 472 and is related to the Baby Monster Module.

AB - Abstract: Using the method of modular-invariant differential equations, we classify a family of Rational Conformal Field Theories with two and three characters having no Kac-Moody algebra. In addition to unitary and non-unitary minimal models, we find “dual” theories whose characters obey bilinear relations with those of the minimal models to give the Moonshine Module. In some ways this relation is analogous to cosets of meromorphic CFT’s. The theory dual in this sense to the Ising model has central charge 472 and is related to the Baby Monster Module.

KW - Conformal and W Symmetry

KW - Field Theories in Lower Dimensions

KW - Integrable Field Theories

UR - https://www.scopus.com/pages/publications/84982709307

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DO - 10.1007/JHEP07(2016)138

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

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M1 - 138

ER -

Two-dimensional RCFT’s without Kac-Moody symmetry

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Keywords

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