Self-consistent Analytic Solutions in Twisted $\mathbb{C}P^{N-1}$ Model in the Large-$N$ Limit

TL;DR

This paper develops self-consistent analytic solutions for the ${ m extbf{C}P^{N-1}}$ model at large N, involving multiple Higgs components in solitons on various geometries, advancing understanding of its non-perturbative structure.

Contribution

It introduces new analytic solutions with multiple Higgs components in the ${ m extbf{C}P^{N-1}}$ model, extending previous work to complex soliton configurations and geometries.

Findings

Constructed solutions with multiple Higgs components in solitons.

Applied solutions to infinite space, rings, and finite intervals.

Enhanced understanding of non-perturbative dynamics in the ${ m extbf{C}P^{N-1}}$ model.

Abstract

We construct self-consistent analytic solutions in the ${\mathbb C}P^{N-1}$ model in the large-$N$ limit, in which more than one Higgs scalar component take values inside a single or multiple soliton on an infinite space or on a ring, or around boundaries of a finite interval.