Recent Developments in (0,2) Mirror Symmetry

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dc.contributor.authorMelnikov, I.
dc.contributor.authorSethi, S.
dc.contributor.authorSharpe, E.
dc.date.accessioned2019-02-18T12:54:46Z
dc.date.available2019-02-18T12:54:46Z
dc.date.issued2012
dc.description.abstractMirror 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.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue “Mirror Symmetry and Related Topics”. The full collection is available at http://www.emis.de/journals/SIGMA/mirror symmetry.html. S.S. was supported in part by NSF Grant No. PHY-0758029 and NSF Grant No. 0529954. E.S. was supported in part by NSF grant PHY-1068725. I.M. and S.S. would like to thank the Simons Center for Geometry and Physics for hospitality during the completion of this work.uk_UA
dc.identifier.citationRecent 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.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 32L10; 81T20; 14N35
dc.identifier.otherDOI: http://dx.doi.org/10.3842/SIGMA.2012.068
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/148451
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleRecent Developments in (0,2) Mirror Symmetryuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік