Published February 1, 1990 | Version v1
Journal article Metadata-only

Chern-Simons holonomies and the appearance of quantum groups

Creators

  • 1. Istituto Nazionale di Fisica Nucleare, Pisa (Italy)
  • 2. Pisa Univ. (Italy). Dipt. di Fisica
  • 3. Geneva Univ. (Switzerland). Section de Mathematiques
  • 4. European Organization for Nuclear Research, Geneva (Switzerland)

Description

The monodromy representation defined by the quantum holonomies and realized on the physical state space of the Chern-Simons model is investigated. It is shown that this representation naturally extends to a representation of the braid group related to a particular solution of the quantum Yang-Baxter equation. The presence of a hidden quantum group symmetry is established. (orig.)

Additional details

Publishing Information

Journal Title
Physics Letters, (Section) B
Journal Volume
235
Journal Issue
3/4
Series
Phys. Lett., B.
Journal Page Range
275-281
ISSN
0370-2693
CODEN
PYLBA

INIS

Country of Publication
Netherlands
Country of Input or Organization
Netherlands
INIS RN
21040955
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ENERGY LEVELS; HILBERT SPACE; IRREDUCIBLE REPRESENTATIONS; LAGRANGIAN FIELD THEORY; LIE GROUPS; MATRICES; MATRIX ELEMENTS; METRICS; QUANTUM OPERATORS; RIEMANN SPACE; SCHROEDINGER PICTURE; SPACE-TIME; SYMMETRY; THREE-DIMENSIONAL CALCULATIONS; TOPOLOGICAL MAPPING; TWO-DIMENSIONAL CALCULATIONS; UNIFIED GAUGE MODELS; VACUUM STATES; WAVE FUNCTIONS
Descriptors DEC
BANACH SPACE; FIELD THEORIES; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; PARTICLE MODELS; QUANTUM FIELD THEORY; SPACE; SYMMETRY GROUPS; TRANSFORMATIONS