Published December 15, 1998 | Version v1
Journal article

Line bundles on quantum spheres

  • 1. Department of Mathematics, University of York, Heslington, York YO10 5DD (United Kingdom)
  • 2. DAMTP, University of Cambridge, Cambridge CB3 9EW (United Kingdom)

Description

The (left coalgebra) line bundle associated to the quantum Hopf fibration of any quantum two-sphere is shown to be a finitely generated projective module. The corresponding projector is constructed and its monopole charge is computed. It is shown that the Dirac q-monopole connection on any quantum two-sphere induces the Grassmannian connection built with this projector

Additional details

Identifiers

Publishing Information

Journal Title
AIP Conference Proceedings
Journal Volume
453
Journal Issue
1
Journal Page Range
p. 3-8
ISSN
0094-243X
CODEN
APCPCS

Conference

Title
Conference on particles, fields and gravitation
Dates
15-19 Apr 1998
Place
Lodz (Poland)

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40073077
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
ALGEBRA; GAUGE INVARIANCE; GEOMETRY; MONOPOLES; NONLINEAR PROBLEMS; QUANTUM FIELD THEORY; SPHERES; SU GROUPS
Descriptors DEC
FIELD THEORIES; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICS; SYMMETRY GROUPS

Optional Information

Notes
(c) 1998 American Institute of Physics.