Junctions of mass-deformed nonlinear sigma models on $SO(2N)/U(N)$ and $Sp(N)/U(N)$ I

TL;DR

This paper constructs on-shell ${ m N}=2$ nonlinear sigma models on specific coset spaces, embedding them into hyper-K"ahler models, and analyzes three-pronged junctions using the moduli matrix and diagram methods.

Contribution

It introduces a holomorphic embedding of mass-deformed nonlinear sigma models on $SO(2N)/U(N)$ and $Sp(N)/U(N)$ into hyper-K"ahler models and studies their junctions with a novel diagram approach.

Findings

Successful construction of models on the coset spaces.

Application of the moduli matrix formalism to analyze junctions.

Development of a diagram method for studying three-pronged junctions.

Abstract

We construct on-shell ${\mathcal{N}}=2$ nonlinear sigma models on $SO(2N)/U(N)$ and $Sp(N)/U(N)$ by holomorphically embedding the models in the hyper-K\"{a}hler nonlinear sigma model on the cotangent bundle of the Grassmann manifold $T^\ast G_{2N,N}$ in the ${\mathcal{N}}=1$ superspace formalism. We apply the moduli matrix formalism to the mass-deformed nonlinear sigma models on the quadrics to study three-pronged junctions by using a recently proposed diagram method.