N=2 Supersymmetric Calabi-Yau Hypersurface Sigma-Models on Curved Two-Dimensions

Abstract

We consider the effect of curved two-dimensional space-time on Witten's $N=2$ supersymmetric sigma models interpolating Calabi-Yau hypersurfaces to Landau-Ginzburg models. In order for the former models to have significant connection to superstring theory, only the $N=(1,1)$ or $N=(1,0)$ part of the total $N=(2,2)$ world-sheet supersymmetry is made local. Even though there arises an additional minimizing condition due to a scalar auxiliary field in the supergravity multiplet on curved two-dimensions, the essential feature of the sigma-model relating Calabi-Yau and Landau-Ginzburg models will be maintained. This indicates the validity of these sigma models formulated on curved two-dimensions or curved world-sheets. As a by-product, the coupling of $N=(2,2)$ vector multiplets to other multiplets with $N=(1,1)$ local supersymmetry is developed.

LATEX, 14 pages, HUPAPP-94/101, UMDEPP 95-029

References in corpus (5)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Phases of $N=2$ Theories In Two Dimensions
• Classical {\it vs.}\ Landau-Ginzburg Geometry of Compactification
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Cited by in corpus (1)

• Curvature Couplings in $\mathcal{N}=(2,2)$ Nonlinear Sigma Models on $S^2$