中文版 | English
Title

Kapranov's L-infinity structures, Fedosov's star products, and one-loop exact BV quantizations on Kahler manifolds

Author
Corresponding AuthorChan, Kwokwai
Publication Years
2022
Source Title
ISSN
1931-4523
EISSN
1931-4531
Volume16Issue:2
Abstract
We study quantization schemes on a Kahler manifold and relate several interesting structures. We first construct Fedosov's star products on a Kahler manifold X as quantizations of Kapranov's L-infinity-algebra structure. Then we investigate the Batalin-Vilkovisky (BV) quantizations associated to these star products. A remarkable feature is that they are all one-loop exact, meaning that the Feynman weights associated to graphs with two or more loops all vanish. This leads to a succinct cochain level formula in de Rham cohomology for the algebraic index.
Keywords
URL[Source Record]
Indexed By
Language
English
SUSTech Authorship
Others
Funding Project
Hong Kong Research Grants Council["CUHK14303019","CUHK14301117","CUHK14303518"] ; CUHK["4053395","4053400"] ; National Natural Science Foundation of China[12071204] ; Guangdong Basic and Applied Basic Research Foundation[2020A1515011220]
WOS Research Area
Mathematics ; Physics
WOS Subject
Mathematics, Applied ; Mathematics ; Physics, Mathematical
WOS Accession No
WOS:000833894700002
Publisher
Data Source
Web of Science
Citation statistics
Cited Times [WOS]:1
Document TypeJournal Article
Identifierhttp://kc.sustech.edu.cn/handle/2SGJ60CL/375550
DepartmentInstitute for Quantum Science and Engineering
Affiliation
1.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
2.Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China
3.Southern Univ Sci & Technol, Shenzhen Inst Quantum Sci & Engn, Shenzhen, Peoples R China
Recommended Citation
GB/T 7714
Chan, Kwokwai,Leung, Naichung Conan,Li, Qin. Kapranov's L-infinity structures, Fedosov's star products, and one-loop exact BV quantizations on Kahler manifolds[J]. Communications in Number Theory and Physics,2022,16(2).
APA
Chan, Kwokwai,Leung, Naichung Conan,&Li, Qin.(2022).Kapranov's L-infinity structures, Fedosov's star products, and one-loop exact BV quantizations on Kahler manifolds.Communications in Number Theory and Physics,16(2).
MLA
Chan, Kwokwai,et al."Kapranov's L-infinity structures, Fedosov's star products, and one-loop exact BV quantizations on Kahler manifolds".Communications in Number Theory and Physics 16.2(2022).
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