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arxiv: 1508.06748 · v1 · pith:BC3WWNDWnew · submitted 2015-08-27 · 🧮 math-ph · math.DG· math.MP

Superforms and the mathbb{C}P^(N-1) supersymmetric sigma model

classification 🧮 math-ph math.DGmath.MP
keywords associatedmathbbmodelsigmasuperformssupersymmetriccharacterisationdescribe
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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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