Work

Supersymmetric two-time physics

Year: 1999
Type: article
Abstract: We construct an Sp(2,R) gauge invariant particle action which possesses manifest space-time SO(d,2) symmetry, global supersymmetry and kappa supersymmetry. The global and local supersymmetries are non-Abelian generalizations of Poincar\'e type supersymmetries and are consistent with the presence of two timelike dimensions. In particular, this action provides a unified and explicit superparticle representation of the superconformal groups OSp(N/4), SU(2,2/N) and $\mathrm{OSp}{(8}^{*}/\mathrm{N})$ which underlie various AdS-CFT dualities in M or string theory. By making diverse Sp(2,R) gauge choices our action reduces to diverse one-time physics systems, one of which is the ordinary (one-time) massless superparticle with superconformal symmetry that we discuss explicitly. We show how to generalize our approach to the case of superalgebras, such as OSp(1/32), which do not have direct space-time interpretations in terms of only zero branes, but may be realizable in the presence of p-branes.
Language: English
Open Access status: green
OpenAlex ID: W1984878952
FWCI: 4.874
Cites: 24
Cited by: 60
Related to: 10