Hadamard products and BPS networks

Hadamard products and BPS networks

Blog Article

Abstract We study examples of fourth-order Picard-Fuchs operators that are Hadamard products of two second-order Picard-Fuchs operators.Each second-order Picard-Fuchs operator is associated with a click here family of elliptic curves, and the Hadamard product computes period integrals on the fibred product of the two elliptic surfaces.We construct 3-cycles on this geometry as the union of 2-cycles in the fibre over contours on the base.We then use the special Lagrangian condition to constrain the contours on the base.

This leads to a construction that is reminiscent of spectral networks bostik universal primer pro and exponential networks that have previously appeared in string theory literature.