aPerimeter Institute, 31 Caroline St. N., Waterloo, ON N2L 2Y5, Canada
bIHÉS, 35, route de Chartres, F-91440 Bures-sur-Yvette, France
cDepartment of Mathematics, University of California, Davis, CA 95616, USA
Abstract:
We say that a function F(τ) obeys WDVV equations, if for a given invertible symmetric matrix ηαβ and all , the expressions can be considered as structure constants of commutative associative algebra; the matrix ηαβ inverse to ηαβ determines an invariant scalar product on this algebra. A function xα(z,τ) obeying is called a calibration of a solution of WDVV equations. We show that there exists an infinite-dimensional group acting on the space of calibrated solutions of WDVV equations (in different form such a group was constructed in A. Givental, math.AG/0305409]). We describe the action of Lie algebra of this group.