(0,2) deformations of linear sigma models

Maximilian Kreuzer; Jock McOrist; Ilarion V Melnikov; M Ronen Plesser

doi:10.1007/JHEP07(2011)044

(0,2) deformations of linear sigma models

Maximilian Kreuzer
, Jock McOrist
, Ilarion V Melnikov
, M Ronen Plesser

Mathematics

Research output: Contribution to journal › Article › peer-review

30 Citations (Scopus)

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.

Original language	English
Journal	Journal of High Energy Physics
Volume	2011
Issue number	7
DOIs	https://doi.org/10.1007/JHEP07(2011)044
Publication status	Published - 8 Jul 2011

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title = "(0,2) deformations of linear sigma models",

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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AU - Kreuzer, Maximilian

AU - McOrist, Jock

AU - Melnikov, Ilarion V

AU - Plesser, M Ronen

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N2 - 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.

AB - 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.

U2 - 10.1007/JHEP07(2011)044

DO - 10.1007/JHEP07(2011)044

M3 - Article

SN - 1126-6708

VL - 2011

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 7

ER -

(0,2) deformations of linear sigma models

Abstract

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