Curved WDVV equation and supersymmetric mechanics

authored by

N. Kozyrev, S. Krivonos, O. Lechtenfeld, A. Nersessian, A. Sutulin

Abstract

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.

Organisation(s)

Institut für Theoretische Physik
Riemann Center for Geometry and Physics

External Organisation(s)

Joint Institute for Nuclear Research (JINR)
Yerevan State University
Tomsk Polytechnic University

Type

Konferenzaufsatz in Fachzeitschrift

Journal

Journal of Physics: Conference Series

Volume

965

ISSN

1742-6588

Publication date

01.03.2018

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Physik und Astronomie (insg.)

Electronic version(s)

https://doi.org/10.1088/1742-6596/965/1/012026 (Access: Offen)
https://doi.org/10.15488/3320 (Access: Offen)