Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1893370 | Journal of Geometry and Physics | 2014 | 15 Pages |
Abstract
In a recent paper Dubrovin et al. (1998), it is proved that the genus two free energy of an arbitrary semisimple Frobenius manifold can be represented as a sum of contributions associated with dual graphs of certain stable algebraic curves of genus two plus the so called genus two GG-function, and for a certain class of Frobenius manifolds it is conjectured that the associated genus two GG-functions vanish. In this paper, we prove this conjecture for the Frobenius manifolds associated with simple singularities of type A.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Yulong Fu, Si-Qi Liu, Youjin Zhang, Chunhui Zhou,