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

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arxiv 1905.09946 v1 pith:FAFOXEJ5 submitted 2019-05-23 hep-th

classification hep-th
keywords modelsnon-abeliancompositegrassmannianmathcalsheetstringsworld
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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.

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