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 -