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Title: On structure and open problems in topological theories coupled to topological gravity

Abstract

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.

Authors:
 [1]
  1. Inst. of Theoretical and Experimental Physics, Moscow (Russian Federation)
Publication Date:
OSTI Identifier:
390978
Resource Type:
Journal Article
Journal Name:
Theoretical and Mathematical Physics
Additional Journal Information:
Journal Volume: 100; Journal 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
Subject:
66 PHYSICS; 99 MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS; GRAVITATION; TOPOLOGY; PARTITION FUNCTIONS

Citation Formats

Losev, A. On structure and open problems in topological theories coupled to topological gravity. United States: N. p., 1995. Web.
Losev, A. On structure and open problems in topological theories coupled to topological gravity. United States.
Losev, A. 1995. "On structure and open problems in topological theories coupled to topological gravity". United States.
@article{osti_390978,
title = {On structure and open problems in topological theories coupled to topological gravity},
author = {Losev, A},
abstractNote = {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.},
doi = {},
url = {https://www.osti.gov/biblio/390978}, journal = {Theoretical and Mathematical Physics},
number = 1,
volume = 100,
place = {United States},
year = {Sun Jan 01 00:00:00 EST 1995},
month = {Sun Jan 01 00:00:00 EST 1995}
}