Gravitational Anomaly Cancellation and Modular Invariance
Mathematical Physics
2010-08-03 v1 Differential Geometry
math.MP
Abstract
In this paper, by combining modular forms and characteristic forms, we obtain general anomaly cancellation formulas of any dimension. For dimensional manifolds, our results include the gravitational anomaly cancellation formulas of Alvarez-Gaum\'e and Witten in dimensions 2, 6 and 10 (\cite{AW}) as special cases. In dimension , we derive anomaly cancellation formulas for index gerbes. In dimension , we obtain certain results about eta invariants, which are interesting in spectral geometry.
Cite
@article{arxiv.1007.5295,
title = {Gravitational Anomaly Cancellation and Modular Invariance},
author = {Fei Han and Kefeng Liu},
journal= {arXiv preprint arXiv:1007.5295},
year = {2010}
}