Abstract
A topological action for self-dual connections over noncompact Riemann surfaces is proposed. TheJ formulation and the associated linear system are obtained. A new connection is constructed, depending on a Kac-Moody parameter such that its flatness condition is theJ-equation associated to the self-dual problem. The algebra of infinitesimal Bäcklund transformations depending on this Kac-Moody parameter is constructed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Witten, E.:Comm. Math. Phys. 117, 353 (1988).
Hitchin, N.:Proc. London Math. Soc. 55 59 (1987).
Horowitz, G. T.:Comm. Math. Phys. 125, 417 (1989).
Birmingham, D., Blau, M., Rakowski, M. and Tompson, G.:Phys. Rep. 209, 129 (1991).
Lledó, M., Martín, I, Mendoza, A. and Restuccia, A.:Lett. Math. Phys. 24, 275 (1992).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mendoza, A., Restuccia, A. On the topological theory of self-dual connections over noncompact Riemann surfaces. Lett Math Phys 35, 187–195 (1995). https://doi.org/10.1007/BF00750768
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00750768