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

preprint2015arXivOpen access

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.

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

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

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