Publications at the Riemann Center
Curved WDVV equation and supersymmetric mechanics
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.
Details
- Organisation(s)
-
Institute of Theoretical Physics
Riemann Center for Geometry and Physics
- External Organisation(s)
-
Joint Institute for Nuclear Research
Yerevan State University
Tomsk Polytechnic University
- Type
- Conference article
- Journal
- Journal of Physics: Conference Series
- Volume
- 965
- ISSN
- 1742-6588
- Publication date
- 01.03.2018
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- General Physics and Astronomy
- Electronic version(s)
-
https://doi.org/10.1088/1742-6596/965/1/012026 (Access:
Open
)
https://doi.org/10.15488/3320 (Access: Open )
