Kahler Potentials on Toric Varieties

Abstract

One has believed that low energy effective theories of the Higgs branch of gauged linear sigma models correspond to supersymmetric nonlinear sigma models, which have been already investigated by many works. In this paper we discuss a explicit derivation of supersymmetric nonlinear sigma models from gauged linear sigma models. In this process we construct Kahler potentials of some two-dimensional toric varieties explicitly. Thus we will be able to study some algebraic varieties in the language of differential geometry.

1+22 pages, 6 figures, typos corrected, some minor changes

References in corpus (8)

• Phases of $N=2$ Theories In Two Dimensions
• D-Branes And Mirror Symmetry
• Summing the Instantons: Quantum Cohomology and Mirror Symmetry in Toric Varieties
• Worldsheet Derivation of a Large N Duality
• String Theory on Calabi-Yau Manifolds
• Supersymmetric Nonlinear Sigma Models as Gauge Theories
• Gauge Theoretical Construction of Non-compact Calabi-Yau Manifolds
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Cited by in corpus (2)

• Swiss Cheese D3-D7 Soft SUSY Breaking
• Toric Varieties with NC Toric Actions: NC Type IIA Geometry