Spacetime Fermions in Light-cone Gauge Superstring Field Theory and Dimensional Regularization

TL;DR

This paper develops a dimensional regularization method for light-cone gauge superstring field theories, extending previous work to include Ramond sector amplitudes, and demonstrates consistency with first quantized results.

Contribution

It introduces a new worldsheet theory for regularizing Ramond sector amplitudes in superstring field theory, ensuring agreement with established formulations.

Findings

Successfully regularized Ramond sector amplitudes

Achieved results consistent with first quantized superstring theory

Extended previous regularization methods to more sectors

Abstract

We consider the dimensional regularization of the light-cone gauge type II superstring field theories in the NSR formalism. In the previous work, we have calculated the tree-level amplitudes with external lines in the (NS,NS) sector using the regularization and shown that the desired results are obtained without introducing contact term interactions. In this work, we study the tree-level amplitudes with external lines in the Ramond sector. In order to deal with them, we propose a worldsheet theory to be used instead of that for the naive dimensional regularization. With the worldsheet theory, we regularize and define the tree-level amplitudes by analytic continuation. We show that the results coincide with those of the first quantized formulation.