English

Quaternion Landau-Ginsburg models and noncommutative Frobenius manifolds

Mathematical Physics 2007-05-23 v6 High Energy Physics - Theory math.MP

Abstract

We extend the classical topological Landau-Ginsburg model to a quaternion Landau-Ginsburg model, that satisfy the axioms of open-closed topological field theory. Later we prove, that a moduli space of quaternion Landau-Ginsburg models are non-commutative Frobenius manifold in means of [J. Geom. Phys, 51 (2003), 387-403].

Keywords

Cite

@article{arxiv.math-ph/0507020,
  title  = {Quaternion Landau-Ginsburg models and noncommutative Frobenius manifolds},
  author = {S. Natanzon},
  journal= {arXiv preprint arXiv:math-ph/0507020},
  year   = {2007}
}

Comments

14 pages, LaTex, new version