Modular invariance and anomaly cancellation formulas in odd dimension II

Authors
Liu, Ke Feng Wang, Yong
Citation
Liu, Ke Feng et Wang, Yong, Modular invariance and anomaly cancellation formulas in odd dimension II, Acta mathematica Sinica. English series (Print) , 33(4), 2017, pp. 455-469
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
33
Issue
4
Year of publication
2017
Pages
455 - 469
Database
ACNP
SICI code
Abstract
By studying modular invariance properties of some characteristic forms, we get some generalized anomaly cancellation formulas on (4r . 1)-dimensional manifolds with no assumption that the 3rd de-Rham cohomology of manifolds vanishes. These anomaly cancellation formulas generalize our previous anomaly cancellation formulas on (4r . 1)-dimensional manifolds. We also generalize our previous anomaly cancellation formulas on (4r . 1)-dimensional manifolds and the Han.Yu rigidity theorem to the (a, b) case.