Gauge Invariant 1PI Effective Superstring Field Theory: Inclusion of the Ramond Sector

TL;DR

This paper develops a gauge invariant 1PI superstring field theory including the Ramond sector, enabling off-shell amplitude calculations and analysis of supersymmetry preservation.

Contribution

It constructs a gauge invariant 1PI effective superstring field theory incorporating the Ramond sector and proves mass renormalization independence from local coordinate choices.

Findings

Masses are independent of local coordinate and picture changing operator choices.

The formalism allows analysis of conditions for unbroken space-time supersymmetry.

Off-shell amplitudes involving Ramond and Neveu-Schwarz states are explicitly constructed.

Abstract

We construct off-shell amplitudes in heterotic and type II string theories involving arbitrary combination of Ramond and Neveu-Schwarz sector external states. We also construct the equations of motion of a gauge invariant 1PI effective field theory which reproduces these off-shell amplitudes. Using this construction we prove that the renormalized physical masses do not depend on the choice of local coordinate system and locations of picture changing operators used in defining the off-shell amplitudes. We also use this formalism to examine the conditions under which space-time supersymmetry is unbroken in the quantum theory.