The Untruncated Marinari-Parisi Superstring

TL;DR

This paper demonstrates an exact integration of bosonic degrees of freedom in a one-dimensional superstring model, resulting in a supersymmetric Calogero system with insights into nonperturbative supersymmetry breaking.

Contribution

It introduces an exact Hamiltonian formulation of the Marinari-Parisi superstring without truncation, revealing new interactions and supersymmetry breaking mechanisms.

Findings

Bosonic degrees of freedom can be integrated out exactly.

The resulting Hamiltonian is a supersymmetric Calogero system with additional fermion interactions.

Supersymmetry is nonperturbatively broken by instanton effects.

Abstract

It is shown that the bosonic angular degrees of freedom in the one dimensional Marinari-Parisi superstring can be integrated out exactly in the Hamiltonian formulation without having to perform the Dabholkar truncation. The resulting Hamiltonian is that of a supersymmetric Calogero system plus a four fermions interaction. This extra interaction vanishes for all physical states with fermion number zero or one where supersymmetry is manifest. We confirm that supersymmetry is nonperturbativly broken by instanton effects.