Details
| Original language | English |
|---|---|
| Article number | 193 |
| Journal | Journal of high energy physics |
| Volume | 2018 |
| Issue number | 8 |
| Early online date | 30 Aug 2018 |
| Publication status | Published - Aug 2018 |
Abstract
We construct new models of “curved” SU(4|1) supersymmetric mechanics based on two versions of the off-shell multiplet (8, 8, 0) which are “mirror” to each other. The worldline realizations of the supergroup SU(4|1) are treated as a deformation of flat N= 8 , d = 1 supersymmetry. Using SU(4|1) chiral superfields, we derive invariant actions for the first-type (8, 8, 0) multiplet, which parametrizes special Kähler manifolds. Since we are not aware of a manifestly SU(4|1) covariant superfield formalism for the second-type (8, 8, 0) multiplet, we perform a general construction of SU(4|1) invariant actions for both multiplet types in terms of SU(2|1) superfields. An important class of such actions enjoys superconformal OSp(8|2) invariance. We also build off-shell actions for the SU(4|1) multiplets (6, 8, 2) and (7, 8, 1) through appropriate substitutions for the component fields in the (8, 8, 0) actions. The (6, 8, 2) actions are shown to respect superconformal SU(4|1, 1) invariance.
Keywords
- Extended Supersymmetry, Space-Time Symmetries, Superspaces
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. 8, 193, 08.2018.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Deformed N= 8 mechanics of (8, 8, 0) multiplets
AU - Ivanov, Evgeny
AU - Lechtenfeld, Olaf
AU - Sidorov, Stepan
N1 - Funding Information: Open Access, ©c The Authors. Article funded by SCOAP3. Funding Information: We thank Sergey Fedoruk, Armen Nersessian and Francesco Toppan for interest in this work and for valuable comments. This research was supported by the Heisenberg-Landau program and the joint DFG project LE 838/12. The work of E.I. and S.S. was supported by the Russian Foundation for Basic Research, project No. 18-02-01046. They thank the directorate of the Institute of Theoretical Physics at Leibniz University of Hannover for kind hospitality extended to them several times during this project.
PY - 2018/8
Y1 - 2018/8
N2 - We construct new models of “curved” SU(4|1) supersymmetric mechanics based on two versions of the off-shell multiplet (8, 8, 0) which are “mirror” to each other. The worldline realizations of the supergroup SU(4|1) are treated as a deformation of flat N= 8 , d = 1 supersymmetry. Using SU(4|1) chiral superfields, we derive invariant actions for the first-type (8, 8, 0) multiplet, which parametrizes special Kähler manifolds. Since we are not aware of a manifestly SU(4|1) covariant superfield formalism for the second-type (8, 8, 0) multiplet, we perform a general construction of SU(4|1) invariant actions for both multiplet types in terms of SU(2|1) superfields. An important class of such actions enjoys superconformal OSp(8|2) invariance. We also build off-shell actions for the SU(4|1) multiplets (6, 8, 2) and (7, 8, 1) through appropriate substitutions for the component fields in the (8, 8, 0) actions. The (6, 8, 2) actions are shown to respect superconformal SU(4|1, 1) invariance.
AB - We construct new models of “curved” SU(4|1) supersymmetric mechanics based on two versions of the off-shell multiplet (8, 8, 0) which are “mirror” to each other. The worldline realizations of the supergroup SU(4|1) are treated as a deformation of flat N= 8 , d = 1 supersymmetry. Using SU(4|1) chiral superfields, we derive invariant actions for the first-type (8, 8, 0) multiplet, which parametrizes special Kähler manifolds. Since we are not aware of a manifestly SU(4|1) covariant superfield formalism for the second-type (8, 8, 0) multiplet, we perform a general construction of SU(4|1) invariant actions for both multiplet types in terms of SU(2|1) superfields. An important class of such actions enjoys superconformal OSp(8|2) invariance. We also build off-shell actions for the SU(4|1) multiplets (6, 8, 2) and (7, 8, 1) through appropriate substitutions for the component fields in the (8, 8, 0) actions. The (6, 8, 2) actions are shown to respect superconformal SU(4|1, 1) invariance.
KW - Extended Supersymmetry
KW - Space-Time Symmetries
KW - Superspaces
UR - http://www.scopus.com/inward/record.url?scp=85052729946&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1807.11804
DO - 10.48550/arXiv.1807.11804
M3 - Article
AN - SCOPUS:85052729946
VL - 2018
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1126-6708
IS - 8
M1 - 193
ER -