Published May 1991 | Version v1
Journal article Metadata-only

Graph theory, SO(n) current algebra and the Virasoro master equation

Creators

  • 1. Lawrence Berkeley Lab., CA (USA). Theoretical Physics Group
  • 2. California Univ., Berkeley (USA). Dept. of Physics

Description

We announce an isomorphism between a set of generically irrational affine-Virasoro constructions on SO(n) and the unlabelled graphs of order n. On the one hand, the conformal constructions are classified by the graphs, while, conversely, a group-theoretic and conformal field-theoretic identification is obtained for every graph of graph theory. High-level expansion provides a strong argument that each construction is unitary down to some finite critical level. (orig.)

Additional details

Publishing Information

Journal Title
Communications in Mathematical Physics
Journal Volume
138
Journal Issue
1
Series
Commun. Math. Phys.
Journal Page Range
63-105
ISSN
0010-3616
CODEN
CMPHA

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
22039191
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CONFORMAL GROUPS; CONFORMAL INVARIANCE; CURRENT ALGEBRA; DIAGRAMS; IRREDUCIBLE REPRESENTATIONS; QUANTUM OPERATORS; SERIES EXPANSION; SO GROUPS; SO-10 GROUPS; SO-2 GROUPS; SO-3 GROUPS; SO-4 GROUPS; SO-6 GROUPS; SO-8 GROUPS; SU-3 GROUPS; UNITARITY
Descriptors DEC
INFORMATION; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL OPERATORS; SU GROUPS; SYMMETRY GROUPS

Optional Information

Contract/Grant/Project number
Contract DE-AC03-76SF00098; Grant PHY-85-15857