The 3-state Potts model and Rogers-Ramanujan series

• Autorzy: Alex Feingold , Antun Milas
• Języki publikacji: EN

Abstrakty

EN

We explain the appearance of Rogers-Ramanujan series inside the tensor product of two basic A 2(2) -modules, previously discovered by the first author in [Feingold A.J., Some applications of vertex operators to Kac-Moody algebras, In: Vertex Operators in Mathematics and Physics, Berkeley, November 10–17, 1983, Math. Sci. Res. Inst. Publ., 3, Springer, New York, 1985, 185–206]. The key new ingredients are (5,6)Virasoro minimal models and twisted modules for the Zamolodchikov W 3-algebra.

Słowa kluczowe

EN

Vertex algebras; Affine Kac-Moody Lie algebras; W-algebras

Kategorie tematyczne

• 17B67: Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras
• 17B69: Vertex operators; vertex operator algebras and related structures

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 1
• Strony: 1-16

Daty

wydano

2013-01-01

online

2012-10-24

Twórcy

autor

Alex Feingold

• State University of New York at Binghamton

autor

Antun Milas

• State University of New York at Albany

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0086-7