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Symmetry, Integrability and Geometry: Methods and Applications, 2012, Volume 8, 068, 28 pp.
DOI: https://doi.org/10.3842/SIGMA.2012.068 (Mi sigma745) 		 
This article is cited in 35 scientific papers (total in 35 papers)

Recent developments in (0,2) mirror symmetry

Ilarion Melnikova, Savdeep Sethib, Eric Sharpec

a Max Planck Institute for Gravitational Physics, Am Mühlenberg 1, D-14476 Golm, Germany
b Department of Physics, Enrico Fermi Institute, University of Chicago, 5640 S. Ellis Ave., Chicago, IL 60637, USA
c Department of Physics, MC 0435, 910 Drillfield Dr., Virginia Tech, Blacksburg, VA 24061, USA
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DOI: https://doi.org/10.3842/SIGMA.2012.068
Abstract: Mirror symmetry of the type II string has a beautiful generalization to the heterotic string. This generalization, known as (0,2) mirror symmetry, is a field still largely in its infancy. We describe recent developments including the ideas behind quantum sheaf cohomology, the mirror map for deformations of (2,2) mirrors, the construction of mirror pairs from worldsheet duality, as well as an overview of some of the many open questions. The (0,2) mirrors of Hirzebruch surfaces are presented as a new example.
Keywords: mirror symmetry; (0,2) mirror symmetry; quantum sheaf cohomology.
Received: June 4, 2012; in final form October 2, 2012; Published online October 7, 2012
Bibliographic databases:
Document Type: Article
MSC: 32L10; 81T20; 14N35
Language: English
Citation: Ilarion Melnikov, Savdeep Sethi, Eric Sharpe, “Recent developments in (0,2) mirror symmetry”, SIGMA, 8 (2012), 068, 28 pp.
Citation in format AMSBIB
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\by Ilarion Melnikov, Savdeep Sethi, Eric Sharpe
\paper Recent developments in (0,2) mirror symmetry
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    • This publication is cited in the following 35 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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