Published April 25, 1994
| Version v1
Journal article
Comment on two-dimensional O(N) and Sp(N) Yang-Mills theories as string theories
Description
We write down all orders large-N expansions for the dimensions of irreducible representations of O(N) and Sp(N). We interpret all the terms in these expansions as symmetry factors for singular worldsheet configurations, involving collapsed crosscaps and tubes. We use it to complete the interpretation of two-dimensional Yang-Mills theories with these gauge groups, on arbitrary two-dimensional manifolds, in terms of a string theory of maps of the type considered by Gross and Taylor. We point out some intriguing similarities to the case of U(N) and discuss their implications. (orig.)
Additional details
Publishing Information
- Journal Title
- Nuclear Physics. B
- Journal Volume
- 418
- Journal Issue
- 1-2
- Journal Page Range
- p. 30-44.
- ISSN
- 0550-3213
- CODEN
- NUPBBO
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 25059570
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- CANONICAL DIMENSION; DIFFERENTIAL GEOMETRY; IRREDUCIBLE REPRESENTATIONS; O GROUPS; PARTITION FUNCTIONS; POWER SERIES; SINGULARITY; SMOOTH MANIFOLDS; SP GROUPS; SPACE-TIME; STRING MODELS; TOPOLOGICAL MAPPING; TRAJECTORIES; TWO-DIMENSIONAL CALCULATIONS; U GROUPS; UNIFIED GAUGE MODELS; YANG-MILLS THEORY
- Descriptors DEC
- DYNAMICAL GROUPS; EXTENDED PARTICLE MODEL; FIELD THEORIES; FUNCTIONS; GEOMETRY; LIE GROUPS; MAPPING; MATHEMATICAL MANIFOLDS; MATHEMATICAL MODELS; MATHEMATICS; PARTICLE MODELS; QUANTUM FIELD THEORY; SCALE DIMENSION; SERIES EXPANSION; SYMMETRY GROUPS; TRANSFORMATIONS