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Two-dimensional RCFT's without Kac-Moody symmetry

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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 47/2 and is related to the Baby Monster Module.

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2024 1

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Bridging 4D QFTs and 2D VOAs via 3D high-temperature EFTs

hep-th · 2024-09-26 · unverdicted · novelty 6.0

High-temperature limits on higher sheets of the superconformal index for (A1,A2n) Argyres-Douglas theories yield Gang-Kim-Stubbs 3d N=2 theories whose boundaries support Virasoro minimal model VOAs M(2,2n+3) and associated MTCs.

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  • Bridging 4D QFTs and 2D VOAs via 3D high-temperature EFTs hep-th · 2024-09-26 · unverdicted · none · ref 156 · internal anchor

    High-temperature limits on higher sheets of the superconformal index for (A1,A2n) Argyres-Douglas theories yield Gang-Kim-Stubbs 3d N=2 theories whose boundaries support Virasoro minimal model VOAs M(2,2n+3) and associated MTCs.