Effective Lagrangian of Domain Wall Networks

TL;DR

This paper develops a systematic method to construct and analyze the dynamics of domain wall networks in supersymmetric gauge theories using moduli matrices and effective Lagrangian techniques.

Contribution

It introduces a new systematic approach to construct domain wall networks and derives their moduli space metric for studying their dynamics.

Findings

Constructed domain wall networks using moduli matrices.

Identified sizes and phases of loops as normalizable moduli.

Derived the effective Lagrangian governing network dynamics.

Abstract

Domain wall networks are studied in N=2 supersymmetric U(N_C) gauge theory with N_F (>N_C) flavors. We find a systematic method to construct domain wall networks in terms of moduli matrices. Normalizable moduli parameters of the network are found to be sizes and phases of the loop. We obtain moduli space metric which specifies the effective Lagrangian on the domain wall networks. It is used to study dynamics of domain wall networks with the moduli approximation.