We extend the relation between the Witten-Dijkgraaf-Verlinde-Verlinde 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.
|Journal||Journal of Physics: Conference Series|
|Publication status||Published - 15 Feb 2018|
|Event||25th International Conference on Integrable Systems and Quantum Symmetries, ISQS 2017 - Prague, Czech Republic|
Duration: 6 Jun 2017 → 10 Jun 2017
ASJC Scopus subject areas
- Physics and Astronomy(all)