Extended supersymmetry in D=1+1

TL;DR

This paper introduces an extended superspace with tensorial coordinates, leading to a supersymmetric theory with central charge, and derives an effective action for massive particles in two dimensions, offering an alternative to traditional compactification methods.

Contribution

It presents a novel extension of superspace with tensorial coordinates and derives an effective action for D=2, simplifying the process compared to Kaluza-Klein approaches.

Findings

Superspace extended with antisymmetric tensorial coordinate.

Effective action for massive bosons and fermions in D=2.

Simpler alternative to string compactification methods.

Abstract

We extend superspace by introducing an antisymmetric tensorial coordinate. The resulting theory presents a supersymmetry with central charge. After integrating over the tensorial coordinate, an effective action describing massive bosons and fermions is explicitely derived for the spacetime dimension D=2. The adopted procedure is simpler than the Kaluza-Klein one and can suggest an alternative for string compactifications.