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推广的韩-刘-张反常消去公式
引用本文:王勇,吴彤.推广的韩-刘-张反常消去公式[J].数学学报,2019,62(5):721-736.
作者姓名:王勇  吴彤
作者单位:东北师范大学数学与统计学院 长春 130024
基金项目:国家自然科学基金资助项目(11771070)
摘    要:在Anomaly cancellation and modularity, Frontiers in Differential Geometry, Partial Differential Equations and Mathematical Physics,2014:87-104,World Sci.Publ.,Hackensack,NJ]中,韩-刘-张给出了一个反常消去公式,推广了GreenSchwarz公式和Schwartz-Witten公式.本文研究了两个推广的韩-刘-张公式和一个奇数维的韩-刘-张公式.通过研究一些示性式的模性质,给出了奇数维新的反常消去公式.

关 键 词:模不变性  韩-刘-张消去公式  奇数维反常消去公式

Generalized Han-Liu-Zhang's Anomaly Cancellation Formulas
Yong WANG,Tong WU.Generalized Han-Liu-Zhang's Anomaly Cancellation Formulas[J].Acta Mathematica Sinica,2019,62(5):721-736.
Authors:Yong WANG  Tong WU
Institution:School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, P. R. China
Abstract:InAnomaly cancellation and modularity, Frontiers in Differential Geometry, Partial Differential Equations and Mathematical Physics, 2014:87-104, World Sci. Publ., Hackensack, NJ], Han-Liu-Zhang gave a anomaly cancellation formula which generalized the Green-Schwarz formula and the Schwartz-Witten formula. In this paper, we give two generalized Han-Liu-Zhang formulas and a Han-Liu-Zhang formula in odd dimension is also given. By studying modular invariance properties of some characteristic forms, some new anomaly cancellation formulas in odd dimension are given.
Keywords:modular invariance  the Han-Liu-Zhang cancellation formula  anomaly cancellation formulas in odd diemnsion  
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