Nonholomorphic Corrections to the One-Loop N=2 Super Yang-Mills Action

TL;DR

This paper calculates the one-loop nonholomorphic corrections to the Kähler potential in N=2 Super Yang-Mills theory, revealing new contributions from matter and gauge loops that affect four-point couplings.

Contribution

It provides the first explicit determination of the real function  characterizing nonholomorphic corrections at one-loop in N=2 SYM.

Findings

Computed the one-loop  function including matter and gauge contributions

Clarified the impact of  on four-point couplings in N=2 vector multiplets

Discussed implications for the structure of the effective action

Abstract

In addition to the familiar contribution from a holomorphic function $\FF$, the K\"ahler potential of the scalars in the nonabelian $N=2$ vector multiplet receives contributions from a real function $\HH$. We determine the latter at the one-loop level, taking into account both supersymmetric matter and gauge loops. The function $\HH$ characterizes the four-point coupling of the $N=2$ vector-multiplet vectors for constant values of their scalar superpartners. We discuss the consequences of our results.