ON THE TOPOLOGICAL THEORY OF SELF-DUAL CONNECTIONS OVER NONCOMPACT RIEMANN SURFACES

Authors
MENDOZA A RESTUCCIA A
Citation
A. Mendoza et A. Restuccia, ON THE TOPOLOGICAL THEORY OF SELF-DUAL CONNECTIONS OVER NONCOMPACT RIEMANN SURFACES, letters in mathematical physics, 35(2), 1995, pp. 187-195
Citations number
5
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
35
Issue
2
Year of publication
1995
Pages
187 - 195
Database
ISI
SICI code
0377-9017(1995)35:2<187:OTTTOS>2.0.ZU;2-0
Abstract
A topological action for self-dual connections over noncompact Riemann surfaces is proposed. The J formulation and the associated linear sys tem are obtained. A new connection is constructed, depending on a Kac- Moody parameter such that its flatness condition is the J-equation ass ociated to the self-dual problem. The algebra of infinitesimal Backlun d transformations depending on this Kac-Moody parameter is constructed .