TY - JOUR

T1 - N = 8 superconformal mechanics

AU - Bellucci, S.

AU - Ivanov, E.

AU - Krivonos, S.

AU - Lechtenfeld, O.

N1 - Funding Information: S.K. would like to thank B. Zupnik for many useful discussions. This work was partially supported by the European Community's Human Potential Programme under contract HPRN-CT-2000-00131 Quantum Spacetime, the INTAS-00-00254 grant, the NATO Collaborative Linkage Grant PST.CLG.979389, RFBR-DFG grant No. 02-02-04002, grant DFG No. 436 RUS 113/669, RFBR grant No. 03-02-17440 and a grant of the Heisenberg–Landau programme. E.I. and S.K. thank the Institute for Theoretical Physics of the University of Hannover and the INFN-Laboratori Nazionali di Frascati for the warm hospitality extended to them during the course of this work. Copyright: Copyright 2004 Elsevier B.V., All rights reserved.

PY - 2004/4/26

Y1 - 2004/4/26

N2 - We construct new models of N=8 superconformal mechanics associated with the off-shell N=8, d=1 supermultiplets (3,8,5) and (5,8,3). These two multiplets are derived as N=8 Goldstone superfields and correspond to nonlinear realizations of the N=8, d=1 superconformal group OSp(4 4) in its supercosets OSp(4 4)/U(1)R⊗SO(5) and OSp(4 4)/SU(2)R⊗SO(4), respectively. The irreducibility constraints for these superfields automatically follow from appropriate superconformal covariant conditions on the Cartan superforms. The N=8 superconformal transformations of the superspace coordinates and the Goldstone superfields are explicitly given. Interestingly, each N=8 supermultiplet admits two different off-shell N=4 decompositions, with different N=4 superconformal subgroups SU(1,1 2) and OSp(4 2) of OSp(4 4) being manifest as superconformal symmetries of the corresponding N=4, d=1 superspaces. We present the actions for all such N=4 splittings of the N=8 multiplets considered.

AB - We construct new models of N=8 superconformal mechanics associated with the off-shell N=8, d=1 supermultiplets (3,8,5) and (5,8,3). These two multiplets are derived as N=8 Goldstone superfields and correspond to nonlinear realizations of the N=8, d=1 superconformal group OSp(4 4) in its supercosets OSp(4 4)/U(1)R⊗SO(5) and OSp(4 4)/SU(2)R⊗SO(4), respectively. The irreducibility constraints for these superfields automatically follow from appropriate superconformal covariant conditions on the Cartan superforms. The N=8 superconformal transformations of the superspace coordinates and the Goldstone superfields are explicitly given. Interestingly, each N=8 supermultiplet admits two different off-shell N=4 decompositions, with different N=4 superconformal subgroups SU(1,1 2) and OSp(4 2) of OSp(4 4) being manifest as superconformal symmetries of the corresponding N=4, d=1 superspaces. We present the actions for all such N=4 splittings of the N=8 multiplets considered.

UR - http://www.scopus.com/inward/record.url?scp=1642286331&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2004.02.023

DO - 10.1016/j.nuclphysb.2004.02.023

M3 - Article

AN - SCOPUS:1642286331

VL - 684

SP - 321

EP - 350

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -