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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: 120
| 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 |
distribution of downloads over the selected time period:
downloads by country:
| pos. | country | downloads | ||
|---|---|---|---|---|
| total | perc. | |||
| 1 |  |
Germany | 80 | 66.67% |
| 2 |  |
United States | 18 | 15.00% |
| 3 |  |
China | 9 | 7.50% |
| 4 |  |
Russian Federation | 7 | 5.83% |
| 5 |  |
Canada | 2 | 1.67% |
| 6 |  |
Taiwan | 1 | 0.83% |
| 7 |  |
Romania | 1 | 0.83% |
| 8 |  |
Poland | 1 | 0.83% |
| 9 |  |
Hungary | 1 | 0.83% |
Further download figures and rankings:
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