Classical AdS Superstring Mechanics

TL;DR

This paper studies the classical mechanics of AdS superstrings using supermatrix coordinates, revealing symmetry structures, gauge fixing, and constraints that extend understanding of superstring dynamics in AdS spaces.

Contribution

It introduces a supermatrix coordinate framework for AdS superstrings, clarifies their symmetry transformations, and derives a unified constraint set similar to flat space superstrings.

Findings

Supermatrix formalism simplifies symmetry transformations.

A covariant first class constraint set for AdS superparticle is established.

The AdS superstring constraints match those of flat space superstrings.

Abstract

We analyze the anti-de Sitter (AdS) superparticle and superstring systems described in terms of supermatrix valued coordinates proposed by Roiban and Siegel. This approach gives simple symmetry transformations and equations of motion. We examine their kappa-transformations, infinite reducibility and kappa-gauge fixing conditions. A closed first class constraint set for the AdS superparticle is GL(4|4) covariant and keeping superconformal symmetry manifestly. For the AdS superstring $\sigma$-dependence breaks the GL(4|4) covariance, where supercovariant derivatives and currents satisfy the inhomogeneous GL(4|4). A closed first class constraint set for the AdS superstring turns out to be the same as the one for a superstring in flat space, namely ABCD constraints.