Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-11-17
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, latex, no figures, Talk presented at International symposium on BRS symmetry, RIMS, Kyoto, September 18-22, 1995
Scientific paper
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.
No associations
LandOfFree
BRS Cohomology in Topological String Theory and Integrable Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with BRS Cohomology in Topological String Theory and Integrable Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and BRS Cohomology in Topological String Theory and Integrable Systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-129282