444 citations · 2.6k across the 93 of their papers we have counts for
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Holomorphic solutions of the susy grassmannian -model and gauge invariance
V. Hussin, M. Lafrance, I. Yurdusen +1
We study the gauge invariance of the supersymmetric grassmannian sigma model . It is richer then its purely bosonic submodel and we show how to use it in order to reduce so…
General solutions of the supersymmetric sigma model and its generalisation to
Laurent Delisle, Véronique Hussin, Wojtek J. Zakrzewski
A new approach for the construction of finite action solutions of the supersymmetric sigma model is presented. We show that this approach produces more non-holo…
Geometry of surfaces associated to grassmannian sigma models
Laurent Delisle, Véronique Hussin, Wojtek J. Zakrzewski
We investigate the geometric characteristics of constant gaussian curvature surfaces obtained from solutions of the sigma model. Most of these solutions are related to the…
Constant curvature surfaces of the supersymmetric sigma model
Laurent Delisle, Véronique Hussin, İsmeth Yurduşen +1
Constant curvature surfaces are constructed from the finite action solutions of the supersymmetric sigma model. It is shown that there is a unique holomorphic s…
Constant curvature solutions of Grassmannian sigma models: (2) Non-holomorphic solutions
Laurent Delisle, Véronique Hussin, Wojtek J. Zakrzewski
We generalize here our general procedure for constructing constant curvature maps of 2-spheres into Grassmannian manifolds G(m,n) this time concentrating our attention on maps whic…
Constant curvature solutions of Grassmannian sigma models: (1) Holomorphic solutions
Laurent Delisle, Veronique Hussin, Wojtek J. Zakrzewski
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 constan…