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arXiv math-ph/0507020math-phhep-thmath.MP
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四元数Landau-Ginsburg模型与非对易Frobenius流形

Quaternion Landau-Ginsburg models and noncommutative Frobenius manifolds

S. Natanzon

摘要:

我们将经典的Landau-Ginsburg模型推广到满足开闭拓扑场论公理的四元数Landau-Ginsburg模型。然后利用[J. Geom. Phys.,51(2003),387-403]证明了四元数Landau-Ginsburg模型的模空间是非交换的Frobenius流形.

英文摘要:

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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