Virasoro algebras with central chargec>1
- 1 February 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 60 (5) , 389-392
- https://doi.org/10.1103/physrevlett.60.389
Abstract
We provide evidence for a new unitary series of conformal field theories, labeled by integers M and N. For N=1,2 they reproduce the unitary conformal and superconformal series of minimal models. For higher N, they correspond to models with c>1, generated by new nonlocal currents of spin (N+4)/(N+2). We use a generalization of the Feigin-Fuchs construction to find the currents and the primary fields of the new algebras.Keywords
This publication has 11 references indexed in Scilit:
- Modular invariant partition functions for parafermionic field theoriesNuclear Physics B, 1987
- Conformal invariance, supersymmetry and string theoryNuclear Physics B, 1986
- Construction of singular vertex operators as degenerate primary conformal fieldsPhysics Letters B, 1986
- Unitary representations of the Virasoro and super-Virasoro algebrasCommunications in Mathematical Physics, 1986
- Superconformal invariance in two dimensions and the tricritical Ising modelPhysics Letters B, 1985
- Superconformal symmetry in two dimensionsPhysics Letters B, 1985
- Computing the KAC determinant using dual model techniques and more about the no-ghost theoremNuclear Physics B, 1984
- Conformal algebra and multipoint correlation functions in 2D statistical modelsNuclear Physics B, 1984
- Conformal Invariance, Unitarity, and Critical Exponents in Two DimensionsPhysical Review Letters, 1984
- Verma modules over the virasoro algebraFunctional Analysis and Its Applications, 1984