“Real doubles” of Hurwitz Frobenius manifolds
نویسنده
چکیده
New family of flat potential (Darboux-Egoroff) metrics on the Hurwitz spaces and corresponding Frobenius structures are found. We consider a Hurwitz space as a real manifold. Therefore the number of coordinates is twice as big as the number of coordinates used in the construction of Frobenius manifolds on Hurwitz spaces found by B.Dubrovin more than 10 years ago. The branch points of a ramified covering and their complex conjugates play the role of canonical coordinates on the constructed Frobenius manifolds. We introduce a new family of Darboux-Egoroff metrics in terms of the Schiffer and Bergmann kernels, find corresponding flat coordinates and prepotentials and G−functions of associated Frobenius manifolds.
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