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...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2012 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2012
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149191 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| id |
nasplib_isofts_kiev_ua-123456789-149191 |
|---|---|
| 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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Renormalization Method and Mirror Symmetry |
| spellingShingle |
Renormalization Method and Mirror Symmetry Li, S. |
| title_short |
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_sort |
renormalization method and mirror symmetry |
| author |
Li, S. |
| author_facet |
Li, S. |
| publishDate |
2012 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/149191 |
| citation_txt |
Renormalization Method and Mirror Symmetry / S. Li // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 29 назв. — англ. |
| work_keys_str_mv |
AT lis renormalizationmethodandmirrorsymmetry |
| first_indexed |
2025-12-01T12:03:00Z |
| last_indexed |
2025-12-01T12:03:00Z |
| _version_ |
1850860205546405888 |