Curved WDVV equation and supersymmetric mechanics

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

    Research output: Contribution to journal › Conference 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 2017 → 10 Jun 2017

    Fingerprint

    tensors

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    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

    Curved WDVV equation and supersymmetric mechanics. / Kozyrev, N.; Krivonos, S.; Lechtenfeld, O.; Nersessian, A.; Sutulin, A.

    In: Journal of Physics: Conference Series, Vol. 965, No. 1, 012026, 15.02.2018.

    Research output: Contribution to journal › Conference article

    Kozyrev, N, Krivonos, S, Lechtenfeld, O, Nersessian, A & Sutulin, A 2018, 'Curved WDVV equation and supersymmetric mechanics', Journal of Physics: Conference Series, vol. 965, no. 1, 012026. https://doi.org/10.1088/1742-6596/965/1/012026
    Kozyrev N, Krivonos S, Lechtenfeld O, Nersessian A, Sutulin A. Curved WDVV equation and supersymmetric mechanics. Journal of Physics: Conference Series. 2018 Feb 15;965(1). 012026. https://doi.org/10.1088/1742-6596/965/1/012026
    Kozyrev, N. ; Krivonos, S. ; Lechtenfeld, O. ; Nersessian, A. ; Sutulin, A. / Curved WDVV equation and supersymmetric mechanics. In: Journal of Physics: Conference Series. 2018 ; Vol. 965, No. 1.
    @article{b8ae1567cb4e4f1c8d04691a2231ff2d,
    title = "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.",
    author = "N. Kozyrev and S. Krivonos and O. Lechtenfeld and A. Nersessian and A. Sutulin",
    year = "2018",
    month = "2",
    day = "15",
    doi = "10.1088/1742-6596/965/1/012026",
    language = "English",
    volume = "965",
    journal = "Journal of Physics: Conference Series",
    issn = "1742-6588",
    publisher = "IOP Publishing Ltd.",
    number = "1",

    }

    TY - JOUR

    T1 - Curved WDVV equation and supersymmetric mechanics

    AU - Kozyrev, N.

    AU - Krivonos, S.

    AU - Lechtenfeld, O.

    AU - Nersessian, A.

    AU - Sutulin, A.

    PY - 2018/2/15

    Y1 - 2018/2/15

    N2 - 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.

    AB - 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.

    UR - http://www.scopus.com/inward/record.url?scp=85042934765&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=85042934765&partnerID=8YFLogxK

    U2 - 10.1088/1742-6596/965/1/012026

    DO - 10.1088/1742-6596/965/1/012026

    M3 - Conference article

    AN - SCOPUS:85042934765

    VL - 965

    JO - Journal of Physics: Conference Series

    JF - Journal of Physics: Conference Series

    SN - 1742-6588

    IS - 1

    M1 - 012026

    ER -

    Access to Document