Details
| Original language | English |
|---|---|
| Article number | 175 |
| Journal | Journal of high energy physics |
| Volume | 2018 |
| Issue number | 5 |
| Early online date | 28 May 2018 |
| Publication status | Published - May 2018 |
Abstract
We present SU(2|1) supersymmetric mechanics on n-dimensional Riemannian manifolds within the Hamiltonian approach. The structure functions including prepotentials entering the supercharges and the Hamiltonian obey extended curved WDVV equations specified by the manifold’s metric and curvature tensor. We consider the most general u(2)-valued prepotential, which contains both types (with and without spin variables), previously considered only separately. For the case of real Kähler manifolds we construct all possible interactions. For isotropic (so(n)-invariant) spaces we provide admissible prepotentials for any solution to the curved WDVV equations. All known one-dimensional SU(2|1) supersymmetric models are reproduced.
Keywords
- Extended Supersymmetry, Field Theories in Lower Dimensions, Space-Time Symmetries
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Journal of high energy physics, Vol. 2018, No. 5, 175, 05.2018.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - SU(2|1) supersymmetric mechanics on curved spaces
AU - Kozyrev, Nikolay
AU - Krivonos, Sergey
AU - Lechtenfeld, Olaf
AU - Sutulin, Anton
N1 - Funding Information: Open Access, ©c The Authors. Article funded by SCOAP3. Funding Information: This work was partially supported by the Heisenberg-Landau program. The work of N.K. and S.K. was partially supported by RSCF grant 14-11-00598, the one of A.S. by RFBR grants 18-02-01046 and 18-52-05002 Arm-a. This article is based upon work from COST Action MP1405 QSPACE, supported by COST (European Cooperation in Science and Technology).
PY - 2018/5
Y1 - 2018/5
N2 - We present SU(2|1) supersymmetric mechanics on n-dimensional Riemannian manifolds within the Hamiltonian approach. The structure functions including prepotentials entering the supercharges and the Hamiltonian obey extended curved WDVV equations specified by the manifold’s metric and curvature tensor. We consider the most general u(2)-valued prepotential, which contains both types (with and without spin variables), previously considered only separately. For the case of real Kähler manifolds we construct all possible interactions. For isotropic (so(n)-invariant) spaces we provide admissible prepotentials for any solution to the curved WDVV equations. All known one-dimensional SU(2|1) supersymmetric models are reproduced.
AB - We present SU(2|1) supersymmetric mechanics on n-dimensional Riemannian manifolds within the Hamiltonian approach. The structure functions including prepotentials entering the supercharges and the Hamiltonian obey extended curved WDVV equations specified by the manifold’s metric and curvature tensor. We consider the most general u(2)-valued prepotential, which contains both types (with and without spin variables), previously considered only separately. For the case of real Kähler manifolds we construct all possible interactions. For isotropic (so(n)-invariant) spaces we provide admissible prepotentials for any solution to the curved WDVV equations. All known one-dimensional SU(2|1) supersymmetric models are reproduced.
KW - Extended Supersymmetry
KW - Field Theories in Lower Dimensions
KW - Space-Time Symmetries
UR - http://www.scopus.com/inward/record.url?scp=85047861047&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1712.09898
DO - 10.48550/arXiv.1712.09898
M3 - Article
AN - SCOPUS:85047861047
VL - 2018
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1126-6708
IS - 5
M1 - 175
ER -