Light-cone gauge superstring field theory in linear dilaton background

TL;DR

This paper investigates the regularization of divergences in light-cone gauge superstring field theory by employing a linear dilaton background, demonstrating finiteness under specific conditions.

Contribution

It introduces a regularization scheme using a linear dilaton background to achieve finite Feynman amplitudes in superstring field theory.

Findings

Feynman amplitudes become finite with linear dilaton background and specific parameters.

The theory remains consistent with the linear dilaton background for certain Q^2 values.

Regularization effectively controls divergences in superstring field theory.

Abstract

The Feynman amplitudes of light-cone gauge superstring field theory suffer from various divergences. In order to regularize them, we study the theory in linear dilaton background $\Phi =-iQX^1$ with the number of spacetime dimensions fixed. We show that the theory with the Feynman $i\varepsilon\,(\varepsilon>0)$ and $Q^{2}>10$ yields finite results.