Gauge principles for multi-superparticles

TL;DR

This paper introduces new gauge principles for multiple supersymmetric particles, revealing constraints that unify their dynamics with single-time physics in higher-dimensional superspaces, relevant to S-theory and Matrix theory.

Contribution

It formulates novel gauge principles for n superparticles with N supersymmetries, connecting multi-superparticle models to higher-dimensional superspaces with specific spacetime symmetries.

Findings

Constraints lead to effective single-time dynamics.

Models realize supersymmetries in sectors of S-theory.

Classical and quantum motions are equivalent to single-time physics.

Abstract

We formulate new gauge principles for n supersymmetric particles in a worldline formalism with N supersymmetries. The models provide realizations of the more general supersymmetries that are encountered in sectors of S-theory or Matrix theory, with a superalgebra that involves products of momenta. Due to local gauge and kappa symmetries the n superparticle momenta and N supercharges are constrained. The constraints have solutions only in a space with n timelike dimensions and SO(d+n-2,n) spacetime symmetry. The cases SO(9,1), SO(10,2) and SO(10,3), with one, two and three timelike dimensions respectively, are of special interest. In each case, due to the constraints, the classical motion and quantum theory of each superparticle are equivalent to the physics with a single time-like dimension in an effective 10D superspace with SO(9,1) Lorentz symmetry.