Curved Witten-Dijkgraaf-Verlinde-Verlinde equation and N=4 mechanics

authored by

Nikolay Kozyrev, Sergey Krivonos, Olaf Lechtenfeld, Armen Nersessian, Anton Sutulin

Abstract

We propose a generalization of the Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equation from Rn to an arbitrary Riemannian manifold. Its form is obtained by extending the relation of the WDVV equation with N=4 supersymmetric n-dimensional mechanics from flat to curved space. The resulting "curved WDVV equation" is written in terms of a third-rank Codazzi tensor. For every flat-space WDVV solution subject to a simple constraint, we provide a curved-space solution on any isotropic space, in terms of the rotationally invariant conformal factor of the metric.

Organisation(s)

Institut für Theoretische Physik
Riemann Center for Geometry and Physics

External Organisation(s)

Joint Institute for Nuclear Research (JINR)
Yerevan State University

Type

Artikel

Journal

Physical Review D

Volume

96

ISSN

2470-0010

Publication date

2017

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Physik und Astronomie (sonstige)

Electronic version(s)

https://doi.org/10.1103/PhysRevD.96.101702 (Access: Unbekannt)