Tricritical 3-State Potts Model and Vertex Operator Algebras Constructed from Ternary Codes

Ching Hung Lam; Hiromichi Yamada

doi:10.1081/agb-200034027

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Tricritical 3-State Potts Model and Vertex Operator Algebras Constructed from Ternary Codes

Ching Hung Lam Hiromichi Yamada

Year: 2004 Journal: Communications in Algebra Vol: 32 (11)Pages: 4197-4219 Publisher: Taylor & Francis

DOI: 10.1081/agb-200034027

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Abstract

Abstract We construct a class of vertex operator algebras based on the tricritical 3-state Potts model L(6/7, 0) and some ternary codes. We also compute their irreducible modules. In addition, we show that there is a natural VOA automorphism of order 3 or 1 associated with a subalgebra isomorphic to L(6/7, 0) ⊕ L(6/7, 5).

Keywords:

Mathematics Subalgebra Ternary operation Potts model Vertex (graph theory) Vertex operator algebra Automorphism Operator algebra Operator (biology) Pure mathematics Combinatorics Discrete mathematics Ising model Algebra over a field Physics Algebra representation Condensed matter physics Jordan algebra Chemistry Computer science

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Algebraic structures and combinatorial models

Physical Sciences → Mathematics → Geometry and Topology

Optical Network Technologies

Physical Sciences → Engineering → Electrical and Electronic Engineering

Physics of Superconductivity and Magnetism

Physical Sciences → Physics and Astronomy → Condensed Matter Physics

Tricritical 3-State Potts Model and Vertex Operator Algebras Constructed from Ternary Codes

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