Superforms and the $\mathbb{C}{P}^{N-1}$ supersymmetric sigma model

Abstract

We present a characterisation of Maurer-Cartan 1-superforms associated to the two-dimensional supersymmetric $\mathbb{C}{P}^{N-1}$ sigma model. We, then, solve the associated linear spectral problem and use its solutions to describe an integrable system for a $su(N)$-valued map.

12 pages, no figure

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