Sp(N) higher-derivative F-terms via singular superpotentials

TL;DR

This paper extends the construction of higher-derivative F-terms from SU(2) superQCD to Sp(N) gauge theories, using a singular superpotential approach that remains well-defined near its minima.

Contribution

It introduces a method to derive higher-derivative F-terms for Sp(N) theories via singular superpotentials, generalizing previous SU(2) results.

Findings

Successfully generalizes F-term construction to Sp(N) theories

Shows singular superpotentials can yield sensible physical results

Provides a framework for integrating out massive modes in these theories

Abstract

We generalize the higher-derivative F-terms introduced by Beasley and Witten (hep-th/0409149) for SU(2) superQCD to Sp(N) gauge theories with fundamental matter. We generate these terms by integrating out massive modes at tree level from an effective superpotential on the chiral ring of the microscopic theory. Though this superpotential is singular, its singularities are mild enough to permit the unambiguous identification of its minima, and gives sensible answers upon integrating out massive modes near any given minimum.