Details
| Original language | English |
|---|---|
| Article number | 012026 |
| Journal | Journal of Physics: Conference Series |
| Volume | 965 |
| Publication status | Published - 1 Mar 2018 |
| Event | 25th International Conference on Integrable Systems and Quantum Symmetries, ISQS 2017 - Prague, Czech Republic Duration: 6 Jun 2017 → 10 Jun 2017 |
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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Journal of Physics: Conference Series, Vol. 965, 012026, 01.03.2018.
Research output: Contribution to journal › Conference article › Research › peer review
}
TY - JOUR
T1 - Curved WDVV equation and supersymmetric mechanics
AU - Kozyrev, N.
AU - Krivonos, S.
AU - Lechtenfeld, O.
AU - Nersessian, A.
AU - Sutulin, A.
N1 - Funding information: We are grateful to M. Feigin and A. Veselov for stimulating discussions. The work of N.K. and S.K. was partially supported by RSCF grant 14-11-00598 and the Heisenberg-Landau program. The work of A.S. was partially supported by RFBR grant 15-02-06670 and the Heisenberg-Landau program. The work of A.N. was partially supported by Tomsk Polytechnic University competitiveness enhancement program, by the grant of Armenian State Committee of Science 15T-1C367 and by the ICTP Network project NT-04. This article is based upon work from COST Action MP1405 QSPACE, supported by COST (European Cooperation in Science and Technology). The work of N.K. and S.K. was partially supported by RSCF grant 14-11-00598 and the Heisenberg-Landau program. The work of A.S. was partially supported by RFBR grant 15-02-06670 and the Heisenberg-Landau program. The work of A.N. was partially supported by Tomsk Polytechnic University competitiveness enhancement program, by the grant of Armenian State Committee of Science 15T-1C367 and by the ICTP Network project NT-04. This article is based upon work from COST Action MP1405 QSPACE, supported by COST (European Cooperation in Science and Technology).
PY - 2018/3/1
Y1 - 2018/3/1
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
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
M1 - 012026
T2 - 25th International Conference on Integrable Systems and Quantum Symmetries, ISQS 2017
Y2 - 6 June 2017 through 10 June 2017
ER -