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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...
Abstract: Gauged linear sigma models with (0,2) supersymmetry allow a larger choice of couplings than models with (2,2) supersymmetry. We use this freedom to find a fully linear construction of torsio...
Fusion of line operators in conformal sigma-models on supergroups, and the Hirota equation
line operators conformal sigma-models supergroups
2010/12/23
We study line operators in the two-dimensional sigma-model on PSl(n|n) using the current-current OPEs. We regularize and renormalize these line operators, and compute their fusion up to second order ...
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...