南方科技大学知识苑(SUSTech KC): Kapranov's L-infinity structures, Fedosov's star products, and one-loop exact BV quantizations on Kahler manifolds

题名	Kapranov's L-infinity structures, Fedosov's star products, and one-loop exact BV quantizations on Kahler manifolds
作者	Chan, Kwokwai 1; Leung, Naichung Conan 1,2; Li, Qin3
通讯作者	Chan, Kwokwai
发表日期	2022
发表期刊	Communications in Number Theory and Physics 影响因子和分区
ISSN	1931-4523
EISSN	1931-4531
卷号	16 期号:2
摘要	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.
关键词	L-infinity structure deformation quantization BV quantization algebraic index theorem
相关链接	[来源记录]
收录类别	SCI
语种	英语
学校署名	其他
资助项目	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研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Mathematics ; Physics, Mathematical
WOS记录号	WOS:000833894700002
出版者	INT PRESS BOSTON, INC
来源库	Web of Science
引用统计	被引频次[WOS]：2
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/375550
专题	量子科学与工程研究院
作者单位	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
推荐引用方式 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).