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3-State Potts Model and Automorphisms of Vertex Operator Algebras of Order 3

✍ Scribed by Masahiko Miyamoto

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
167 KB
Volume
239
Category
Article
ISSN
0021-8693

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✦ Synopsis

We study the fusion rules of a vertex operator algebra W 0 , which is a VOA ‫ޒ‬ over the real number field ‫ޒ‬ and has a positive definite invariant bilinear form, Ε½ . q and such that its complexification ‫ރ‬W 0 is a direct sum of the 3-state Potts ‫ޒ‬ 4 4 Ε½ . Ε½ . model L , 0 and its module L , 3 . As an application, we define an automor-5 5

Ε½ . q phism of order 3 of a VOA V over ‫ޒ‬ if V contains W 0 as a sub VOA.

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