Renormalization Method and Mirror Symmetry
This is a brief summary of our works [arXiv:1112.4063, arXiv:1201.4501] on constructing higher genus B-model from perturbative quantization of BCOV theory. We analyze Givental's symplectic loop space formalism in the context of B-model geometry on Calabi-Yau manifolds, and explain the Fock spac...
Gespeichert in:
| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2012 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2012
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149191 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Renormalization Method and Mirror Symmetry / S. Li // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 29 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862647116689571840 |
|---|---|
| author | Li, S. |
| author_facet | Li, S. |
| citation_txt | Renormalization Method and Mirror Symmetry / S. Li // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 29 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | This is a brief summary of our works [arXiv:1112.4063, arXiv:1201.4501] on constructing higher genus B-model from perturbative quantization of BCOV theory. We analyze Givental's symplectic loop space formalism in the context of B-model geometry on Calabi-Yau manifolds, and explain the Fock space construction via the renormalization techniques of gauge theory. We also give a physics interpretation of the Virasoro constraints as the symmetry of the classical BCOV action functional, and discuss the Virasoro constraints in the quantum theory.
|
| first_indexed | 2025-12-01T12:03:00Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149191 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-01T12:03:00Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Li, S. 2019-02-19T18:25:19Z 2019-02-19T18:25:19Z 2012 Renormalization Method and Mirror Symmetry / S. Li // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 29 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 14N35; 58A14; 81T15; 81T70 DOI: http://dx.doi.org/10.3842/SIGMA.2012.101 https://nasplib.isofts.kiev.ua/handle/123456789/149191 This is a brief summary of our works [arXiv:1112.4063, arXiv:1201.4501] on constructing higher genus B-model from perturbative quantization of BCOV theory. We analyze Givental's symplectic loop space formalism in the context of B-model geometry on Calabi-Yau manifolds, and explain the Fock space construction via the renormalization techniques of gauge theory. We also give a physics interpretation of the Virasoro constraints as the symmetry of the classical BCOV action functional, and discuss the Virasoro constraints in the quantum theory. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Renormalization Method and Mirror Symmetry Article published earlier |
| spellingShingle | Renormalization Method and Mirror Symmetry Li, S. |
| title | Renormalization Method and Mirror Symmetry |
| title_full | Renormalization Method and Mirror Symmetry |
| title_fullStr | Renormalization Method and Mirror Symmetry |
| title_full_unstemmed | Renormalization Method and Mirror Symmetry |
| title_short | Renormalization Method and Mirror Symmetry |
| title_sort | renormalization method and mirror symmetry |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149191 |
| work_keys_str_mv | AT lis renormalizationmethodandmirrorsymmetry |