| Title | Kapranov's L-infinity structures, Fedosov's star products, and one-loop exact BV quantizations on Kahler manifolds |
| Author | |
| Corresponding Author | Chan, Kwokwai |
| Publication Years | 2022
|
| Source Title | |
| ISSN | 1931-4523
|
| EISSN | 1931-4531
|
| Volume | 16Issue: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 Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/375550 |
| Department | Institute 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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