TOPOLOGICAL SECTORS OF SPIN-1 THEORIES IN 2+1-DIMENSIONS

ARIAS, PJ; RESTUCCIA, A

Abstract

It is shown that the topological massive and ''self-dual'' theories, which are known to provide locally equivalent descriptions of spin 1 theories in 2 + 1 dimensions, have different global properties when formulated over topologically non-trivial regions of space-time. The partition function of these theories, when constructed on an arbitrary Riemannian manifold, differ by a topological factor, which is equal to the partition function of the pure Chern-Simons theory. This factor is related to the space of solutions of the field equations of the topological massive theory for which the connection is asymptotically flat but not gauge equivalent to zero. A new covariant, first order, gauge action, which generalizes the ''self-dual'' action, is then proposed. It is obtained by sewing local self-dual theories. Its global equivalence to the topological massive gauge theory is shown.

Más información

Título según WOS: ID WOS:A1995QN02000010 Not found in local WOS DB
Título de la Revista: PHYSICS LETTERS B
Volumen: 347
Número: 3-4
Editorial: ELSEVIER SCIENCE BV
Fecha de publicación: 1995
Página de inicio: 241
Página final: 246
DOI:

10.1016/0370-2693(95)00058-S

Notas: ISI