English

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

Mathematical Physics 2016-02-17 v1 Differential Geometry math.MP

Abstract

We present a characterisation of Maurer-Cartan 1-superforms associated to the two-dimensional supersymmetric CPN1\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)su(N)-valued map.

Keywords

Cite

@article{arxiv.1508.06748,
  title  = {Superforms and the $\mathbb{C}P^{N-1}$ supersymmetric sigma model},
  author = {Laurent Delisle},
  journal= {arXiv preprint arXiv:1508.06748},
  year   = {2016}
}

Comments

12 pages, no figure

R2 v1 2026-06-22T10:42:36.776Z