Constant curvature solutions of Grassmannian sigma models: (1) Holomorphic solutions

Details Constant curvature solutions of Grassmannian sigma models: (1) Holomorphic solutions Constant curvature solutions of Grassmannian sigma models: (1) Holomorphic solutions

2012-04-02

arxiv.org/abs/1204.0545v1

Physics

Mathematical Physics

14 pages

Scientific paper

We present a general formula for the Gaussian curvature of curved holomorphic
2-spheres in Grassmannian manifolds G(m, n). We then show how to construct such
solutions with constant curvature. We also make some relevant conjectures for
the admissible constant curvatures in G(m, n) and give some explicit
expressions, in particular, for G(2, 4) and G(2, 5).

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