Worldline Superfield Actions for N=2 Superparticles

TL;DR

This paper develops doubly supersymmetric superfield actions for N=2 superparticles across various dimensions, revealing differences in their dynamical equations and the existence of such actions, especially for the IIB D=6 case.

Contribution

It introduces new superfield actions for N=2 superparticles in multiple dimensions and analyzes their properties, including the absence of a conventional action for the IIB D=6 superparticle.

Findings

Superfield actions are constructed for N=2 superparticles in D=3,4,6.

Geometrodynamical constraints do not put the theory on shell.

A conventional superfield action does not exist for the IIB D=6 superparticle.

Abstract

We propose doubly supersymmetric actions in terms of n=2(D-2) worldline superfields for N=2 superparticles in D=3,4 and Type IIA D=6 superspaces. These actions are obtained by dimensional reduction of superfield actions for N=1 superparticles in D=4,6 and 10, respectively. We show that in all these models geometrodynamical constraints on target superspace coordinates do not put the theory on the mass shell, so the actions constructed consistently describe the dynamics of the corresponding N=2 superparticles. We also find that in contrast to the IIA D=6 superparticle a chiral IIB D=6 superparticle, which is not obtainable by dimensional reduction from N=1, D=10, is described by superfield constraints which produce dynamical equations. This implies that for the IIB D=6 superparticle the doubly supersymmetric action does not exist in the conventional form.