Recent Developments in (0,2) Mirror Symmetry

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 deformat...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2012
Main Authors: Melnikov, I., Sethi, S., Sharpe, E.
Format: Article
Language:English
Published: Інститут математики НАН України 2012
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/148451
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Recent Developments in (0,2) Mirror Symmetry / I. Melnikov, S. Sethi, E. Sharpe // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 53 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary: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.
ISSN:1815-0659