Curved WDVV equation and supersymmetric mechanics
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Original version
Kozyrev, N.; Krivonos, S.; Lechtenfeld, O.; Nersessian, A.; Sutulin, A.: Curved WDVV equation and supersymmetric mechanics. In: Journal of Physics: Conference Series 965 (2018), Nr. 1, 12026. DOI:
https://doi.org/10.1088/1742-6596/965/1/012026
Repository version
To cite the version in the repository, please use this identifier:
https://doi.org/10.15488/3320
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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. © Published under licence by IOP Publishing Ltd.
License of this version:
CC BY 3.0 Unported -
https://creativecommons.org/licenses/by/3.0/
Publication type:
Article
Publishing status:
publishedVersion
Publication date:
2018
Keywords english:
Physics
,
WDVV equations
,
Supersymmetry
DDC:
530 | Physik
Controlled keywords(GND):
Konferenzschrift
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