Current algebra associated with logarithmic conformal field theories

Citation
S. Moghimi-araghi et al., Current algebra associated with logarithmic conformal field theories, LETT MATH P, 55(1), 2001, pp. 71-76
Citations number
16
Categorie Soggetti
Physics
Journal title
LETTERS IN MATHEMATICAL PHYSICS
ISSN journal
03779017 → ACNP
Volume
55
Issue
1
Year of publication
2001
Pages
71 - 76
Database
ISI
SICI code
0377-9017(2001)55:1<71:CAAWLC>2.0.ZU;2-3
Abstract
We propose a general framework for deriving the OPEs within a logarithmic c onformal field theory (LCFT). This naturally leads to the emergence of a lo garithmetic partner of the energy momentum tensor within an LCFT and implie s that the current algebra associated with an LCFT is expanded. We derive t his algebra for a generic LCFT and discuss some of its implications. We obs erve that two constants arise in the OPE of the energy-momentum tensor with itself. One of these is the usual central charge.