Modular invariance in S/sub 3/ symmetric 2D conformal field theories

Journal Article · Mon Feb 01 04:00:00 EST 1988 · Mod. Phys. Lett. A; (United States)

DOI:https://doi.org/10.1142/S0217732388000325· OSTI ID:6989194

Ravanini, F

Using GKO construction, the authors conjecture a formula for the characters of highest weight irreducible representations of the algebra of conformal models having S/sub 3/ symmetry with spin 4/3 parafermionic currents. The modular transformations of these characters are given and modular invariant partition functions are classified. It turns out that an A-D-E classification similar to that found in conformal and N = 1 superconformal theories holds. For the particular case of the tricritical 3-state Potts model the connection with Virasoro characters is given.

• Research Organization: NORDITA - Blegdamsvej 17-2100 Copenhagen 0 (DK)
• OSTI ID: 6989194
• Journal Information: Mod. Phys. Lett. A; (United States), Journal Name: Mod. Phys. Lett. A; (United States) Vol. 3:3; ISSN MPLAE
• Country of Publication: United States
• Language: English

Related Subjects

645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
CONFORMAL INVARIANCE
FERMIONS
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICS
PARTICLE MODELS
PARTICLE PROPERTIES
PARTITION FUNCTIONS
SPIN
SYMMETRY
TWO-DIMENSIONAL CALCULATIONS
WEIGHT