Supersymmetric Two-Time Physics

TL;DR

This paper develops a supersymmetric two-time physics framework with a gauge-invariant action, unifying various superconformal groups and connecting to AdS/CFT dualities, while reducing to familiar one-time systems under gauge choices.

Contribution

It introduces a novel superparticle action with manifest SO(d,2) symmetry and supersymmetry, unifying superconformal groups and extending two-time physics to superalgebras.

Findings

Constructed a gauge-invariant superparticle action with SO(d,2) symmetry.

Unified superconformal groups relevant to AdS/CFT dualities.

Reduced to known one-time superparticle models via gauge choices.

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 Poincare 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 OSp(8*/N) which underlie various AdS/CFT dualities in M/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.