Higher Derivative Terms from Threebranes in F Theory

TL;DR

This paper computes higher derivative corrections in four-dimensional N=2 super Yang-Mills theory with SU(2) gauge group and four hypermultiplets, using a three-brane approach in F theory, confirming field theory results.

Contribution

It introduces a method to compute higher derivative terms in N=2 gauge theories via three-branes in F theory, aligning with known field theory calculations.

Findings

Higher derivative corrections match field theory results

The three-brane approach effectively captures low-energy effective actions

Provides a new geometric perspective on N=2 gauge theories

Abstract

The computation of higher derivative corrections to the low energy effective actions of ${\cal N}=2$ gauge theories is considered. In particular, higher derivative corrections are computed for four dimensional ${\cal N}=2$ super Yang-Mills theory with gauge group SU(2) and $N_f=4$ hypermultiplets in the fundamental representation. The four derivative terms computed in an approach which realizes the gauge theory as the world volume theory of three branes in F theory are in agreement with the field theory result.