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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Bibliographic Details
Main Authors: Ilarion Melnikov, Savdeep Sethi, Eric Sharpe
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2012-10-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
(0
Online Access:http://dx.doi.org/10.3842/SIGMA.2012.068
Description
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