Super Yang-Mills Action from Hybrid Superstring Field Theory

TL;DR

This paper derives the ten-dimensional Super Yang-Mills action from open superstring field theory in the hybrid formalism, demonstrating the consistency of gauge transformations and effective action in the low-energy limit.

Contribution

It explicitly computes the effective action from hybrid superstring field theory and shows it reproduces Super Yang-Mills theory in the low-energy limit, confirming the theory's consistency.

Findings

Effective action matches 10D Super Yang-Mills in the low-energy limit.

Gauge transformations coincide with SYM to all orders in this limit.

Reproduces SYM to all orders in the low-energy limit.

Abstract

We explicitly compute the effective action from Open Superstring Field Theory in the hybrid formalism to quartic order in the $\alpha'\rightarrow 0$ limit, and show that it reproduces ten-dimensional Super Yang-Mills in terms of four-dimensional superfields. We also show that in this limit the gauge transformations coincide with SYM to all orders, which means that the effective action should reproduce SYM to all orders.