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We study the moduli space of A/2 half-twisted gauged linear sigma models forNEF Fano toric varieties. Focusing on toric deformations of the tangent bundle,we describe the vacuum structure of many (0,2) theories, in particularidentifying loci in parameter space with spontaneous supersymmetry breaking ordivergent ground ring correlators. We find that the parameter space of such anA/2 theory and its ground ring is in general a moduli stack, and we show inexamples that with suitable stability conditions it is possible to obtain asimple compactification of the moduli space of smooth A/2 theories.

Global aspects of (0,2) moduli space: toric varieties and tangent bundles