Extention cohomological fields theories and noncommutative Frobenius manifolds
Mathematical Physics
2009-11-07 v4 High Energy Physics - Theory
Algebraic Geometry
math.MP
Abstract
We construct some extension ({\it Stable Field Theory}) of Cohomological Field Theory. The Stable Field Theory is a system of homomorphisms to some vector spaces generated by spheres and disks with punctures. It is described by a formal tensor series, satisfying to some system of "differential equations". In points of convergence the tensor series generate special noncommutative analogues of Frobenius algebras, describing 'Open-Closed' Topological Field Theories.
Keywords
Cite
@article{arxiv.math-ph/0206033,
title = {Extention cohomological fields theories and noncommutative Frobenius manifolds},
author = {S. M. Natanzon},
journal= {arXiv preprint arXiv:math-ph/0206033},
year = {2009}
}
Comments
19 pages, LaTex