BRS Cohomology in Topological String Theory and Integrable Systems
| dc.creator | Kanno, Hiroaki | |
| dc.date | 1995-11-17 | |
| dc.date.accessioned | 2026-07-07T04:21:39Z | |
| dc.date.available | 2026-07-07T04:21:39Z | |
| dc.description | In cohomological field theory we can obtain topological invariants as correlation functions of BRS cohomology classes. A proper understanding of BRS cohomology which gives non-trivial results requires the equivariant cohomology theory. Both topological Yang-Mills theory and topological string theory are typical examples of this fact. After reviewing the role of the equivariant cohomology in topological Yang-Mills theory, we show in purely algebraic framework how the $U(1)$ equivariant cohomology in topological string theory gives the gravitational descendants. The free energy gives a generating function of topological correlation functions and leads us to consider a deformation family of cohomological field theories. In topological strings such a family is controlled by the theory of integrable system. This is most easily seen in the Landau-Ginzburg approach by looking at the contact term interactions between topological observables. | |
| dc.description | 17 pages, latex, no figures, Talk presented at International symposium on BRS symmetry, RIMS, Kyoto, September 18-22, 1995 | |
| dc.identifier | https://arxiv.org/abs/hep-th/9511125 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9511125 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/54409 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | BRS Cohomology in Topological String Theory and Integrable Systems | |
| dc.type | text |