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Classification of RCFT from Holomorphic Modular Bootstrap: A Status Report

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arxiv 1910.02973 v1 pith:NO5QTTGO submitted 2019-10-07 hep-th math.NT

Sunil Mukhi (IISER Pune) This is my paper · ORCID
classification hep-thmath.NT
keywords holomorphicbootstrapmodularstatusadmissibleapproachbeencharacters
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Following the initial proposal in 1988, there has been much progress in classifying Rational Conformal Field Theories in 2 dimensions from the Holomorphic Bootstrap approach. This method starts by postulating a generic holomorphic Modular Linear Differential Equation of a given order and imposing the requirement of non-negative integrality of the coefficients in the series expansion of the solutions, which are then identified as admissible characters, from which a modular-invariant partition function is constructed. In this short note, the status of this project is summarised.

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  1. Tensor Product CFTs and One-Character Extensions

    hep-th 2024-12 conditional novelty 6.0 of 10

    One-character extension characters of tensor products of small CFTs organize into compact S-invariant polynomial bases, yielding closed forms up to central charge 128 and conjectured new one-character CFTs.

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