Published March 18, 1991 | Version v1
Journal article Metadata-only

On the free field resolutions for coset conformal field theories

Creators

  • 1. Massachusetts Inst. of Tech., Cambridge (USA). Dept. of Physics
  • 2. Massachusetts Inst. of Tech., Cambridge (USA). Center for Theoretical Physics
  • 3. Brandeis Univ., Waltham, MA (USA). Dept. of Physics
  • 4. University of Southern California, Los Angeles (USA). Dept. of Physics

Description

We obtain a resolution of (generically irreducible) highest-weight modules for coset conformal field theories G/H in terms of free field Fock spaces, by projection of the free field resolutions of G. We apply the resolution to calculate the characters of some G/H models, including the G-parafermions and G x G/G models. In this way we obtain, for example, explicit expressions for all Kac-Peterson string functions. (orig.)

Additional details

Publishing Information

Journal Title
Nuclear Physics B, Particle Physics
Journal Volume
352
Journal Issue
1
Series
Nucl. Phys. B, Part. Phys.
Journal Page Range
139-162
ISSN
0550-3213
CODEN
NUPBB

INIS

Country of Publication
Netherlands
Country of Input or Organization
Netherlands
INIS RN
22052668
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ALGEBRAIC CURRENTS; ALGEBRAIC FIELD THEORY; ANNIHILATION OPERATORS; CONFORMAL GROUPS; CONFORMAL INVARIANCE; CREATION OPERATORS; CURRENT ALGEBRA; FERMIONS; FIELD ALGEBRA; FIELD OPERATORS; HILBERT SPACE; IRREDUCIBLE REPRESENTATIONS; SPINOR FIELDS; STRING MODELS; U-1 GROUPS
Descriptors DEC
AXIOMATIC FIELD THEORY; BANACH SPACE; CURRENTS; EXTENDED PARTICLE MODEL; FIELD THEORIES; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; PARTICLE MODELS; QUANTUM FIELD THEORY; QUANTUM OPERATORS; SPACE; SYMMETRY GROUPS; U GROUPS

Optional Information

Contract/Grant/Project number
Contract DE-AC02-76ER03069; Grant PHY-88-04561