Curved WDVV equation and supersymmetric mechanics

N. Kozyrev, S. Krivonos, O. Lechtenfeld, A. Nersessian, A. Sutulin

    Research output: Contribution to journalConference article

    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.

    Original languageEnglish
    Article number012026
    JournalJournal of Physics: Conference Series
    Volume965
    Issue number1
    DOIs
    Publication statusPublished - 15 Feb 2018
    Event25th International Conference on Integrable Systems and Quantum Symmetries, ISQS 2017 - Prague, Czech Republic
    Duration: 6 Jun 201710 Jun 2017

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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  • Cite this

    Kozyrev, N., Krivonos, S., Lechtenfeld, O., Nersessian, A., & Sutulin, A. (2018). Curved WDVV equation and supersymmetric mechanics. Journal of Physics: Conference Series, 965(1), [012026]. https://doi.org/10.1088/1742-6596/965/1/012026