Recent Developments in (0,2) Mirror Symmetry

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:
mirror symmetry
(0
2) mirror symmetry
quantum sheaf cohomology
Online Access:http://dx.doi.org/10.3842/SIGMA.2012.068
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spelling doaj-f9a7ae1e397140f180064d02a64b00422020-11-24T21:09:05ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592012-10-018068Recent Developments in (0,2) Mirror SymmetryIlarion MelnikovSavdeep SethiEric SharpeMirror 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.http://dx.doi.org/10.3842/SIGMA.2012.068mirror symmetry(02) mirror symmetryquantum sheaf cohomology
collection DOAJ
language English
format Article
sources DOAJ
author Ilarion Melnikov
Savdeep Sethi
Eric Sharpe
spellingShingle Ilarion Melnikov
Savdeep Sethi
Eric Sharpe
Recent Developments in (0,2) Mirror Symmetry
Symmetry, Integrability and Geometry: Methods and Applications
mirror symmetry
(0
2) mirror symmetry
quantum sheaf cohomology
author_facet Ilarion Melnikov
Savdeep Sethi
Eric Sharpe
author_sort Ilarion Melnikov
title Recent Developments in (0,2) Mirror Symmetry
title_short Recent Developments in (0,2) Mirror Symmetry
title_full Recent Developments in (0,2) Mirror Symmetry
title_fullStr Recent Developments in (0,2) Mirror Symmetry
title_full_unstemmed Recent Developments in (0,2) Mirror Symmetry
title_sort recent developments in (0,2) mirror symmetry
publisher National Academy of Science of Ukraine
series Symmetry, Integrability and Geometry: Methods and Applications
issn 1815-0659
publishDate 2012-10-01
description 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.
topic mirror symmetry
(0
2) mirror symmetry
quantum sheaf cohomology
url http://dx.doi.org/10.3842/SIGMA.2012.068
work_keys_str_mv AT ilarionmelnikov recentdevelopmentsin02mirrorsymmetry
AT savdeepsethi recentdevelopmentsin02mirrorsymmetry
AT ericsharpe recentdevelopmentsin02mirrorsymmetry
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