nLab superconformal multiplet

Idea

super multiplets for superconformal groups.

Supersingletons

There are special such superconformal multiplet, which have no analog as super Poincare multiplet, called supesingletons, first observe by (Dirac 63)

References

• P. A. M. Dirac, A remarkable representation of the 3+2 de Sitter group, J. Math. Phys. 4 (1963) 901.

• Christian Fronsdal, Dirac supermultiplet, Phys. Rev. D 26 (1982) 1988 [doi:10.1103/PhysRevD.26.1988]

• Moshé Flato, Christian Fronsdal, Quantum field theory of singletons. The rac, J. Math. Phys. 22 (1981) 1100 [doi:10.1063/1.524993]

• Murat Günaydin, Singleton and doubleton supermultiplets of space-time supergroups and infinite spin superalgebras, in Mike Duff, Christopher Pope and Ergin Sezgin (eds.) Proceedings of the 1989 Trieste Conference “Supermembranes and Physics in 2 + 1 Dimensions”, World Scientific (1990)

Discussion of the perturbation theory of Green-Schwarz sigma-models around clssical solutions stretched along asymptotic boundaries of anti de Sitter spacetimes:

• Mike Duff, Anti-de Sitter space, branes, singletons, superconformal field theories and all that, Int.J.Mod.Phys.A14:815-844,1999 (arXiv:hep-th/9808100)