Please use this identifier to cite or link to this item: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7994
Title: Classification of Unitary RCFTs with Two Primaries and Central Charge Less Than 25
Authors: MUKHI, SUNIL
Rayhaun, Brandon C. C.
Dept. of Physics
Keywords: Vertex operator-algebras|conformal field-theories
Differential-equations
Modular invariance
Moonshine
Virasoro
Representations
Subalgebras
Construction
Correlators
2023-MAY-WEEK1
TOC-MAY-2023
2023
Issue Date: Mar-2023
Publisher: Springer Nature
Citation: Communications in Mathematical Physics, 401, 1899–1949.
Abstract: We classify all two-dimensional, unitary, rational conformal field theories with two primaries, central charge c<25 , and arbitrary Wronskian index. In mathematical parlance, we classify all strongly regular vertex operator algebras (VOAs) with central charge c<25 and exactly two simple modules. We find that any such theory is either one of the Mathur–Mukhi–Sen (MMS) theories , , , or , or it is a coset of a chiral algebra with one primary operator (also known as a holomorphic VOA) by such an MMS theory. By leveraging existing results on the classification of holomorphic VOAs, we are able to explicitly enumerate all of the aforementioned cosets and compute their characters. This leads to 123 theories, most of which are new. We emphasize that our work is a bona fide classification of RCFTs, not just of characters. Our techniques are general, and we argue that they offer a promising strategy for classifying chiral algebras with low central charge beyond two primaries.
URI: https://doi.org/10.1007/s00220-023-04681-1
http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7994
ISSN: 0010-3616
1432-0916
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