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  Vertex operator algebras, minimal models, and modular linear differential equations of order 4

Arike, Y., Nagatomo, K., & Sakai, Y. (2018). Vertex operator algebras, minimal models, and modular linear differential equations of order 4. Journal of the Mathematical Society of Japan, 70(4), 1347-1373. doi:10.2969/jmsj/74957495.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0003-C4EB-7 Version Permalink: https://hdl.handle.net/21.11116/0000-000E-2CAC-0
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 Creators:
Arike, Yusuke, Author
Nagatomo, Kiyokazu1, Author           
Sakai, Yuichi, Author
Zagier, Don1, Contributor           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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 Abstract: In this paper we classify vertex operator algebras with three conditions which arise from Virasoro minimal models: (A) the central charge and conformal weights are rational numbers, (B) the space spanned by characters of all simple modules of a vertex operator algebra coincides with the space of solutions of a modular linear differential equation of order 4 and (C) the dimensions of first three weight subspaces of a VOA are 1, 0 and 1, respectively. It is shown that vertex operator algebras which we concern have central charges c= −46/3, −3/5, −114/7, 4/5, and are isomorphic to minimal models for c= −46/3, −3/5 and $Z_2$
-graded simple current extensions of minimal models for c= −114/7, 4/5.

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Language(s): eng - English
 Dates: 2018
 Publication Status: Issued
 Pages: 27
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.2969/jmsj/74957495
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Title: Journal of the Mathematical Society of Japan
  Abbreviation : J. Math. Soc. Japan
Source Genre: Journal
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Pages: - Volume / Issue: 70 (4) Sequence Number: - Start / End Page: 1347 - 1373 Identifier: -