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

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\"ahler nonlinear sigma model on the cotangent bundle of the Grassmann manifold ${T}^{*}{G}_{2N,N}$ 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.