Publications at the Riemann Center
Curved Witten-Dijkgraaf-Verlinde-Verlinde equation and N=4 mechanics
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.
Details
- Organisation(s)
-
Institute of Theoretical Physics
Riemann Center for Geometry and Physics
- External Organisation(s)
-
Joint Institute for Nuclear Research
Yerevan State University
- Type
- Article
- Journal
- Physical Review D
- Volume
- 96
- ISSN
- 2470-0010
- Publication date
- 2017
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
- Electronic version(s)
-
https://doi.org/10.1103/PhysRevD.96.101702 (Access:
Unknown
)
