Curved WDVV equation and supersymmetric mechanics

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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

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Sum total of downloads: 77




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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
Document Type: article
Publishing status: publishedVersion
Issue Date: 2018
Appears in Collections:Fakultät für Mathematik und Physik

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pos. country downloads
total perc.
1 image of flag of Germany Germany 73 94.81%
2 image of flag of United States United States 2 2.60%
3 image of flag of Romania Romania 1 1.30%
4 image of flag of China China 1 1.30%

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