Curved WDVV equation and supersymmetric mechanics
Abstract
We extend the relation between the WittenDijkgraafVerlindeVerlinde equation and N = 4 supersymmetric mechanics to arbitrary curved spaces. The resulting curved WDVV equation is written in terms of the third rank Codazzi tensor. We provide the solutions of the curved WDVV equation for the so(n) symmetric conformally flat metrics. We also explicitly demonstrate how each solution of the flat WDVV equation can be lifted up to the curved WDVV solution on the conformally flat spaces.
 Publication:

Journal of Physics Conference Series
 Pub Date:
 February 2018
 DOI:
 10.1088/17426596/965/1/012026
 Bibcode:
 2018JPhCS.965a2026K