"Real doubles" of Hurwitz Frobenius manifolds

Details "Real doubles" of Hurwitz Frobenius manifolds "Real doubles" of Hurwitz Frobenius manifolds

2004-02-09

arxiv.org/abs/math-ph/0402015v4

Commun. Math. Phys. 256, 635-680 (2005)

Physics

Mathematical Physics

44 pages, minor revision

Scientific paper

10.1007/s00220-005-1321-x

New Frobenius structures on Hurwitz spaces are found. A Hurwitz space is considered as a real manifold; therefore the number of coordinates is twice as large as the number of coordinates on Hurwitzs Frobenius manifolds of Dubrovin. Simple branch points of a ramified covering and their complex conjugates play the role of canonical coordinates on the constructed Frobenius manifolds. Corresponding solutions to WDVV equations and G-functions are obtained.

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