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Title:
Laurent Mirror Models
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Abstract:
Calabi-Yau hypersurfaces in toric spaces of general type are defined by Laurent polynomials and encoded by non-convex polytopes. Nevertheless, the phases of their gauged linear sigma models and an increasing number of their classical and quantum data are just as computable as for their 0.5 billion regular, convex siblings, and they all have transposition mirrors. Showcasing Calabi-Yau hypersurfaces in Hirzebruch scrolls shows this class of constructions to be infinitely vast, yet amenable to well-founded algebro-geometric analysis.
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