Composite Non-Abelian Strings with Grassmannian Models on the World Sheet

Abstract

Most of the non-Abelian string-vortices studied so far are characterized by two-dimensional \cpn models with various degrees of supersymmetry on their world sheet. We generalize this construction to "composite" non-Abelian strings supporting the Grassmann $\mathcal{G}(L,M)$ models (here $L+M=N$). The generalization is straightforward and provides, among other results, a simple and transparent way for counting the number of vacua in $\mathcal{N}=(2,2)$ Grassmannian model.

arXiv comment24 pages, 3 figures

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Cited by in corpus (5)

• Flag manifold sigma models: spin chains and integrable theories
• General Composite Non-Abelian Strings and Flag Manifold Sigma Models
• From Gauged Linear Sigma Models to Geometric Representation of $\mathbb{WCP}(N,\tilde{N})$ in 2D
• Two types of domain walls in $\mathcal{N}=1$ super-QCD: how they are classified and counted
• Supersymmetric Grassmannian Sigma Models in Gross-Neveu Formalism