Hypermultiplet effective action: N = 2 superspace approach

TL;DR

This paper extends heat kernel techniques in N=2 harmonic superspace to compute the low-energy effective action of generic N=2 SYM theories, providing a superfield derivation of the prepotential and non-holomorphic corrections.

Contribution

It introduces a new prescription for calculating the hypermultiplet effective action in N=2 SYM theories, simplifying superfield derivations of key effective potentials.

Findings

Derived the hypermultiplet effective action for N=2 SYM theories.

Computed the perturbative holomorphic prepotential.

Calculated the leading non-holomorphic correction.

Abstract

In an earlier paper (hep-th/0101127), we developed heat kernel techniques in N = 2 harmonic superspace for the calculation of the low-energy effective action of N = 4 SYM theory, which can be considered as the most symmetric N = 2 SYM theory. Here, the results are extended to generic N = 2 SYM theories. This involves a prescription for computing the variation of the hypermultiplet effective action. Integrability of this variation allows the hypermultiplet effective action to be deduced. This prescription permits a very simple superfield derivation of the perturbative holomorphic prepotential. Explicit calculations of the prepotential and the leading non-holomorphic correction are presented.