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

Ron Donagi, Zhentao Lu, Ilarion V. Melnikov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1197-1232
Number of pages36
JournalCommunications in Mathematical Physics
Volume338
Issue number3
DOIs
Publication statusPublished - 29 Sept 2015
Externally publishedYes

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