Effective theory for wall-antiwall system
Yutaka Sakamura
TL;DR
This paper introduces a method to derive effective theories for systems with coexisting BPS and anti-BPS domain walls, accounting for SUSY breaking effects and analyzing the stability of matter modes.
Contribution
It presents a new approach respecting approximate SUSY near walls and discusses the emergence of tachyonic modes based on wall profiles.
Findings
SUSY breaking terms are exponentially suppressed due to finite wall width
A tachyonic mode appears when matter mode functions are broader than the wall
The method effectively captures the physics of wall-antiwall systems
Abstract
We propose a useful method for deriving the effective theory for a system where BPS and anti-BPS domain walls coexist. Our method respects an approximately preserved SUSY near each wall. Due to the finite width of the walls, SUSY breaking terms arise at tree-level, which are exponentially suppressed. A practical approximation using the BPS wall solutions is also discussed. We show that a tachyonic mode appears in the matter sector if the corresponding mode function has a broader profile than the wall width.
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