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Recent Developments in (0,2) Mirror Symmetry
Репозиторій DSpace/Manakin
- Домашня сторінка
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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- Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік
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Recent Developments in (0,2) Mirror Symmetry
Інший ID:
2010 Mathematics Subject Classification: 32L10; 81T20; 14N35
DOI: http://dx.doi.org/10.3842/SIGMA.2012.068
DOI: http://dx.doi.org/10.3842/SIGMA.2012.068
Посилання:
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.
Підтримка:
This 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.
Дата:
2012
Переглядів:
481
Завантажень:
258
Анотація:
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.
