Walls of massive K\"ahler sigma models on SO(2N)/U(N) and Sp(N)/U(N)

TL;DR

This paper investigates BPS wall solutions in massive K"ahler sigma models on SO(2N)/U(N) and Sp(N)/U(N), revealing discrete vacua and providing explicit multiwall solutions for small N.

Contribution

It presents the first explicit construction of exact BPS multiwall solutions in these models for N ≤ 3, highlighting their vacuum structure.

Findings

SO(2N)/U(N) has 2^{N-1} vacua

Sp(N)/U(N) has 2^N vacua

Explicit multiwall solutions are constructed for N ≤ 3

Abstract

We study the Bogomol'nyi-Prasad-Sommerfield wall solutions in massive K\"ahler nonlinear sigma models on SO(2N)/U(N) and Sp(N)/U(N) in three-dimensional spacetime. We show that SO(2N)/U(N) and Sp(N)/U(N) models have 2^{N-1} and 2^N discrete vacua, respectively. We explicitly construct the exact BPS multiwall solutions for N\le 3.