Relation Between Hyperelliptic Integrals

Details Relation Between Hyperelliptic Integrals Relation Between Hyperelliptic Integrals

1994-05-03

arxiv.org/abs/hep-th/9405018v2

Mod.Phys.Lett. A9 (1994) 1791-1798

Physics

High Energy Physics

High Energy Physics - Theory

DFTUZ/94/07, LaTeX, 8 p. (misprints are corrected and two refferences on the related papers are added)

Scientific paper

10.1142/S0217732394001647

A simple property of the integrals over the hyperelliptic surfaces of arbitrary genus is observed. Namely, the derivatives of these integrals with respect to the branching points are given by the linear combination of the same integrals. We check that this property is responsible for the solution to the level zero Knizhnik-Zamolodchikov equation given in terms of hyperelliptic integrals.

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