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Global Aspects of (0,2) Moduli Space: Toric Varieties and Tangent Bundles

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

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Authors and Affiliations

  1. Department of Mathematics, University of Pennsylvania, Philadelphia, PA, 19104, USA

    Ron Donagi

  2. Mathematical Institute, University of Oxford, Oxford, OX2 6GG, UK

    Zhentao Lu

  3. Department of Mathematics, Harvard University, Cambridge, MA, 02138, USA

    Ilarion V. Melnikov

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  1. Ron Donagi
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  2. Zhentao Lu
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  3. Ilarion V. Melnikov
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Correspondence to Ilarion V. Melnikov.

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Communicated by H. Ooguri

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Donagi, R., Lu, Z. & Melnikov, I.V. Global Aspects of (0,2) Moduli Space: Toric Varieties and Tangent Bundles. Commun. Math. Phys. 338, 1197–1232 (2015). https://doi.org/10.1007/s00220-015-2394-9

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