The Search for Zoo-Perparticles

TL;DR

This paper reviews covariant superparticle models in ten dimensions, discusses quantization challenges, and introduces new theories in extended superspaces that align with super-Yang-Mills spectra.

Contribution

It presents novel covariant superparticle theories formulated in extended spaces, facilitating easier quantization and maintaining the physical spectrum of super-Yang-Mills theory.

Findings

New covariant superparticle models in extended superspaces.

Models reproduce the spectrum of N=1 super-Yang-Mills.

Simplified quantization via Batalin-Vilkovisky procedure.

Abstract

This paper reviews the covariant formalism of N=1, D=10 classical superparticle models. It discusses the local invariances of a number of superparticle actions and highlights the problem of finding a covariant quantization scenario. Covariant quantization has proved problematic, but it has motivated in seeking alternative approaches that avoids those found in earlier models. It also shows new covariant superparticle theories formulated in extended spaces that preserve certain canonical form in phase-space, and easy to quantize by using the Batalin-Vilkovisky procedure, as the gauge algebra of their constraints only closes on-shell. The mechanics actions describe particles moving in a superspace consisting of the usual $N=1$ superspace, together with an extra spinor or vector coordinate. A light-cone analysis shows that all these new superparticle models reproduce the physical spectrum of the N=1 super-Yang-Mills theory.