Chiral gauged Wess-Zumino-Witten theories and coset models in conformal field theory
- Newman Laboratory of Nuclear Studies, Cornell University, Ithaca, New York 14853-5001 (United States)
The Wess-Zumino-Witten (WZW) theory has a global symmetry denoted by [ital G][sub [ital L]][direct product][ital G][sub [ital R]]. In the standard gauged WZW theory, vector gauge fields (i.e., with vector gauge couplings) are in the adjoint representation of the subgroup [ital H][contained in][ital G]. In this paper, we show that, in the conformal limit in two dimensions, there is a gauged WZW theory where the gauge fields are chiral and belong to the subgroups [ital H][sub [ital L]] and [ital H][sub [ital R]] where [ital H][sub [ital L]] and [ital H][sub [ital R]] can be different groups. In the special case where [ital H][sub [ital L]]=[ital H][sub [ital R]], the theory is equivalent to vector gauged WZW theory. For general groups [ital H][sub [ital L]] and [ital H][sub [ital R]], an examination of the correlation functions (or more precisely, conformal blocks) shows that the chiral gauged WZW theory is equivalent to ([ital G]/[ital H][sub [ital L]])[sub [ital L]][direct product]([ital G]/[ital H][sub [ital R]])[sub [ital R]] coset models in conformal field theory.
- OSTI ID:
- 6645546
- Journal Information:
- Physical Review, D (Particles Fields); (United States), Vol. 47:10; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
[ital N]=4 superconformal algebras and gauged Wess-Zumino-Witten models
Exact equivalence of the D=4 gauged Wess-Zumino-Witten term and the D=5 Yang-Mills Chern-Simons term
Related Subjects
QUANTUM FIELD THEORY
CONFORMAL GROUPS
CORRELATION FUNCTIONS
GAUGE INVARIANCE
TWO-DIMENSIONAL CALCULATIONS
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
SYMMETRY GROUPS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)