Chiral gauged Wess-Zumino-Witten theories and coset models in conformal field theory

Journal Article · Sat May 15 04:00:00 EDT 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.47.4546· OSTI ID:6645546

Chung, S; Tye, S H ^[1]

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1. 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), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 47:10; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFORMAL GROUPS
CORRELATION FUNCTIONS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LIE GROUPS
QUANTUM FIELD THEORY
SYMMETRY GROUPS
TWO-DIMENSIONAL CALCULATIONS