Walls in supersymmetric massive nonlinear sigma model on complex quadric surface

TL;DR

This paper constructs and analyzes BPS multiwall solutions in a massive nonlinear sigma model on the complex quadric surface, revealing the structure of vacua and the moduli space of solutions.

Contribution

It presents the first explicit construction of BPS multiwall solutions in a massive nonlinear sigma model on Q^N, using the moduli matrix approach.

Findings

Identified 2[N/2+1] discrete vacua in the model.

Constructed explicit BPS wall solutions connecting these vacua.

Showed the moduli space of solutions is the complex quadric surface Q^N.

Abstract

The Bogomol'nyi-Prasad-Sommerfield (BPS) multiwall solutions are constructed in a massive Kahler nonlinear sigma model on the complex quadric surface, Q^N=SO(N+2)/[SO(N)\times SO(2)] in 3-dimensional space-time. The theory has a non-trivial scalar potential generated by the Scherk-Schwarz dimensional reduction from the massless nonlinear sigma model on Q^N in 4-dimensional space-time and it gives rise to 2[N/2+1] discrete vacua. The BPS wall solutions connecting these vacua are obtained based on the moduli matrix approach. It is also shown that the moduli space of the BPS wall solutions is the complex quadric surface Q^N.