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Constant curvature solutions of Grassmannian sigma models: (1) Holomorphic solutions
Sigma models Mathematical Physics Holomorphic solutions
2012/4/18
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...
Hybrid classical integrability in squashed sigma models
hybrid classical integrability High Energy Physics - Theory Mathematical Physics
2011/10/9
Abstract: We show that SU(2)_L Yangian and q-deformed SU(2)_R symmetries are realized in a two-dimensional sigma model defined on a three-dimensional squashed sphere. These symmetries enable us to dev...
Off-shell superconformal nonlinear sigma-models in three dimensions
Off-shell superconformal nonlinear sigma-models
2010/12/24
We develop superspace techniques to construct general off-shell N=1,2,3,4 superconformal sigma-models in three space-time dimensions. The most general N=3 and N=4 superconformal sigma-models are cons...