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Titolo:
Topological field theory and quantum holonomy representations of motion groups
Autore:
Szabo, RJ;
Indirizzi:
Univ British Columbia, Dept Phys & Astron, Vancouver, BC V6T 1Z1, Canada Univ British Columbia Vancouver BC Canada V6T 1Z1 ver, BC V6T 1Z1, Canada Niels Bohr Inst, DK-2100 Copenhagen O, Denmark Niels Bohr Inst Copenhagen Denmark O Inst, DK-2100 Copenhagen O, Denmark
Titolo Testata:
ANNALS OF PHYSICS
fascicolo: 1, volume: 280, anno: 2000,
pagine: 163 - 208
SICI:
0003-4916(20000225)280:1<163:TFTAQH>2.0.ZU;2-W
Fonte:
ISI
Lingua:
ENG
Soggetto:
CHERN-SIMONS THEORY; FERMI-BOSE TRANSMUTATIONS; ABELIAN BF THEORIES; YANG-MILLS THEORY; PARTITION-FUNCTION; GAUGE-THEORIES; (2+1)-DIMENSIONAL GRAVITY; FRACTIONAL STATISTICS; QUARK CONFINEMENT; 1+1 DIMENSIONS;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
75
Recensione:
Indirizzi per estratti:
Indirizzo: Szabo, RJ Univ British Columbia, Dept Phys & Astron, 6224 Agr Rd, Vancouver, BC V6T 1Z1, Canada Univ British Columbia 6224 Agr Rd Vancouver BC CanadaV6T 1Z1 da
Citazione:
R.J. Szabo, "Topological field theory and quantum holonomy representations of motion groups", ANN PHYSICS, 280(1), 2000, pp. 163-208

Abstract

Canonical quantization of abelian BF-type topological field theory coupledto extended sources on generic d-dimensional manifolds and with curved line bundles is studied. Sheaf cohomology is used to construct the appropriatetopological extension of the action and the topological flux quantization conditions, in terms of the Cech cohomology of the underlying spatial manifold, as required for topological invariance of the quantum field theory. The wavefunctions are found in the Hamiltonian formalism and are shown to carry multi-dimensional projective representations of various topological groups of the space. Expressions for generalized linking numbers in any dimension are thereby derived. In particular, new global aspects of motion group presentations are obtained in any dimension. Applications to quantum exchange statistics of objects in various dimensionalities are also discussed. (C)2000 Academic press.

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Documento generato il 06/04/20 alle ore 04:51:06