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(0,2) deformations of linear sigma models

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Abstract

We study (0,2) deformations of a (2,2) supersymmetric gauged linear sigma model for a Calabi-Yau hypersurface in a Fano toric variety. In the non-linear sigma model these correspond to some of the holomorphic deformations of the tangent bundle on the hypersurface. Combinatorial formulas are given for the number of these deformations, and we show that these numbers are exchanged by mirror symmetry in a subclass of the models.

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Authors and Affiliations

  1. Institute for Theoretical Physics, TU-Wien, Wiedner Hauptstr. 8-10, 1040, Vienna, Austria

    Maximilian Kreuzer

  2. Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, Wilberforce Road, Cambridge, CB3 OWA, U.K.

    Jock McOrist

  3. Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Am Mühlenberg 1, D-14476, Golm, Germany

    Ilarion V. Melnikov

  4. Center for Geometry and Theoretical Physics, Box 90318, Duke University, Durham, NC, 27708-0318, U.S.A.

    M. Ronen Plesser

Authors
  1. Maximilian Kreuzer
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  2. Jock McOrist
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  3. Ilarion V. Melnikov
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  4. M. Ronen Plesser
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Correspondence to Jock McOrist.

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ArXiv ePrint: 1001.2104

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Kreuzer, M., McOrist, J., Melnikov, I.V. et al. (0,2) deformations of linear sigma models. J. High Energ. Phys. 2011, 44 (2011). https://doi.org/10.1007/JHEP07(2011)044

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  • DOI: https://doi.org/10.1007/JHEP07(2011)044

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