On structure and open problems in topological theories coupled to topological gravity
- Inst. of Theoretical and Experimental Physics, Moscow (Russian Federation)
The structure of topological theory coupled to topological gravity is studied. We show that in this theory Q-exact terms do not decouple. This not decoupling in the action of the theory is connected with the existence of boundaries of the moduli space and leads to problems in defining the topological gravity for massive topological theories. Not decoupling of Q-exact observables leads to filtration of the gravitational descendants constructed from matter fields. Two a priori different preferred splittings of this filtration are constructed (one connected with the massive deformation of the theory and the other connected with the flatness of the connection on the space of theories). It is conjectured that they coincide.
- OSTI ID:
- 390978
- Journal Information:
- Theoretical and Mathematical Physics, Vol. 100, Issue 1; Other Information: PBD: Jan 1995; TN: Translated from Teoreticheskaya i Matematicheskaya Fizika; 100: No. 1, 104-112(Jul 1994)
- Country of Publication:
- United States
- Language:
- English
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