Extrinsic geometry of world sheet supersymmetry through generalized superGauss maps
Jun, 199128 pages
Published in:
- Int.J.Mod.Phys.A 7 (1992) 5995-6012
Report number:
- SFU-PREPRINT-JUNE-1991
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Abstract: (WSP)
The extrinsic geometry of N=1 world-sheet supersymmetry is studied through generalized super-Gauss map. The world sheet, realized as a conformally immersed super-Riemann surface S in Rn (n=3 is studied for simplicity) is mapped into the supersymmetric Grassmannian G2,3. In order for the Grassmannian fields to form (super) tangent planes to S, certain integrability conditions are satisfied by G2,n fields. These conditions are explicitly derived. The supersymmetric invariant action for the Kähler σ-model G2,3 is reexpressed in terms of the world-sheet coordinates, thereby an off-shell supersymmetric generalization of the action proportional to the extrinsic curvature of the immersed surface is obtained.- talk
- string model
- supersymmetry
- differential geometry
- integrability
- field theory: action
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