Quaternion Landau-Ginsburg models and noncommutative Frobenius manifolds

Details Quaternion Landau-Ginsburg models and noncommutative Frobenius manifolds Quaternion Landau-Ginsburg models and noncommutative Frobenius manifolds

2005-07-07

arxiv.org/abs/math-ph/0507020v6

Physics

Mathematical Physics

14 pages, LaTex, new version

Scientific paper

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].

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