Rational vertex operator algebras and the effective central charge

By C. Dong, Geoffrey Mason. 2002

169 citations recorded by the source corpus.

We establish that the Lie algebra of weight 1 states in a (strongly) rational vertex operator algebra is reductive, and that its Lie rank 1 is bounded above by the effective central charge c~. We show that lattice vertex operator algebras may be characterized by the equalities c~=l=c, and in particular holomorphic lattice theories may be characterized among all holomorphic vertex operator algebras by the equality l = c.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/09c67410f90993bd267f5672d547dbeed4d971a2

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Geoffrey Mason
2. C. Lam
3. H. Yamauchi
4. C. Dong
5. T. Arakawa
6. Siu-Hung Ng
7. F. Pellarin

In Geometry and Topology

1. Geoffrey Mason
2. C. Lam
3. H. Yamauchi
4. C. Dong
5. F. Pellarin
6. T. Arakawa
7. Siu-Hung Ng
8. C. Franc

In Statistical and Nonlinear Physics

1. Geoffrey Mason
2. C. Dong
3. C. Lam
4. H. Yamauchi

Citations in the corpus

• Integrability of C2-cofinite vertex operator algebras (2006, methodology): “The Conjecture is related to the methods and results of [ DM2 ].”
• On the Structure of Framed Vertex Operator Algebras and Their Pointwise Frame Stabilizers (2006, background): “The uniqueness has already been shown in [ DM2 ] in a general fashion.”