Details
| Original language | English |
|---|---|
| Pages (from-to) | 321-350 |
| Number of pages | 30 |
| Journal | Nuclear Physics B |
| Volume | 684 |
| Issue number | 3 |
| Publication status | Published - 26 Apr 2004 |
Abstract
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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Nuclear Physics B, Vol. 684, No. 3, 26.04.2004, p. 321-350.
Research output: Contribution to journal › Article › Research › peer review
}
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 -