Two-loop low-energy effective actions in N=2 and N=4 three-dimensional SQED

TL;DR

This paper derives exact two-loop effective actions in three-dimensional N=2 and N=4 SQED, revealing new terms absent in four-dimensional theories and providing insights into quantum corrections to the moduli space.

Contribution

It provides the first exact two-loop effective actions in 3D N=2 and N=4 SQED, including new terms and quantum corrections to the moduli space metric.

Findings

Exact two-loop effective actions derived

New terms without four-dimensional analogs identified

Quantum corrections to the moduli space metric calculated

Abstract

We study two-loop Euler-Heisenberg effective actions in three-dimensional N=2 and N=4 supersymmetric quantum electrodynamics (SQED) without Chern-Simons term. We find exact expressions for propagators of chiral superfields interacting with slowly-varying N=2 gauge superfield. Using these propagators we compute two-loop effective actions in the N=2 and N=4 SQED as the functionals of superfield strengths and their covariant spinor derivatives. The obtained effective actions contain new terms having no four-dimensional analogs. As an application, we find two-loop quantum corrections to the moduli space metric in the N=2 SQED.