Superfield Description of Effective Theories on BPS Domain Walls

TL;DR

This paper develops a superfield-based method to derive the low-energy effective theory on BPS domain walls in 4D N=1 supersymmetric theories, making preserved SUSY explicit and clarifying superfield embeddings.

Contribution

It introduces a superfield formalism that simplifies deriving effective theories on BPS domain walls and addresses shortcomings of previous methods.

Findings

Manifestly preserves SUSY in the effective theory

Clarifies embedding of 3D superfields into 4D superfields

Identifies limitations of conventional derivation procedures

Abstract

We derive the low-energy effective theory on the BPS domain wall in 4D N=1 global SUSY theories in terms of the 3D superfields. Our derivation makes the preserved SUSY by the wall manifest and the procedure for integrating out the massive modes easier. Our procedure clarifies how the 3D superfields are embedded into the 4D chiral and vector superfields. We also point out a shortcoming of the conventional procedure for deriving the effective theory on the wall.