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

DOI10.1081/AGB-200034027zbMath1090.17015MaRDI QIDQ3158379

Hiromichi Yamada, Ching Hung Lam

Publication date: 25 January 2005

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

vertex operator algebraternary codePotts modelirreducible module

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Virasoro and related algebras (17B68) Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (4)

Ising vectors and automorphism groups of commutant subalgebras related to root systems ⋮ Vertex operator algebra with two Miyamoto involutions generating \(S_{3}\). ⋮ Mirror extensions of vertex operator algebras ⋮ McKay's \(E_6\) observation on the largest Fischer group

Cites Work

• Unnamed Item
• Framed vertex operator algebras, codes and the moonshine module
• Vertex algebras associated with even lattices
• Vertex operator algebra with two Miyamoto involutions generating \(S_{3}\).
• Vertex operator algebras generated by two conformal vectors whose \(\tau\)-involutions generate \(S_{3}\).
• Griess algebras and conformal vectors in vertex operator algebras
• Binary codes and vertex operator (super)algebras
• Virasoro vertex operator algebras, the (nonmeromomorphic) operator product expansion and the tensor product theory
• Ternary codes and vertex operator algebras
• REPRESENTATIONS OF TERNARY CODE VERTEX OPERATOR ALGEBRAS
• HIGHEST WEIGHT VECTORS WITH SMALL WEIGHTS IN THE VERTEX OPERATOR ALGEBRA ASSOCIATED WITH A LATTICE OF TYPEA_l
• HIGHEST WEIGHT VECTORS IN THE VERTEX OPERATOR ALGEBRA ASSOCIATED WITH A LATTICE OF TYPE
• Induced modules for orbifold vertex operator algebras

This page was built for publication: Tricritical 3-State Potts Model and Vertex Operator Algebras Constructed from Ternary Codes