Instanton Solutions in Open Superstring Field Theory

TL;DR

This paper extends super-Yang-Mills instanton solutions within open superstring field theory, computing the first stringy correction involving massive string modes, thus bridging field theory and string theory insights.

Contribution

It introduces a method to incorporate stringy corrections into super-Yang-Mills instantons using the hybrid superstring field theory formulation.

Findings

First stringy correction computed for super-Yang-Mills instanton

Involves activating fields at the first massive string level

Demonstrates compatibility of instanton solutions with string theory

Abstract

Open superstring field theory admits a "hybrid" formulation where N = 1 D = 4 supersymmetry is manifest for Calabi-Yau compactifications to four dimensions. Using this formulation, the half-BPS instanton solution of four-dimensional super-Yang-Mills can be easily generalized to the full open superstring field theory. In this paper, we compute the first stringy correction to the super-Yang-Mills instanton solution which involves turning on certain fields at the first massive level.