A general type of twisted anomaly cancellation formulas

TL;DR

This paper introduces generalized twisted anomaly cancellation formulas for even and odd dimensional manifolds, utilizing modular invariance and Chern-Simons transgression to extend classical results.

Contribution

It provides new twisted anomaly cancellation formulas for both even and odd dimensional manifolds, expanding the scope of classical anomaly cancellation results.

Findings

Generalized anomaly cancellation formulas for even-dimensional manifolds.

Modularly invariant characteristic forms for odd-dimensional manifolds.

New twisted anomaly cancellation formulas derived from Chern-Simons transgression.

Abstract

For even dimensional manifolds, we prove some twisted anomaly cancellation formulas which generalize some well-known cancellation formulas. For odd dimensional manifolds, we obtain some modularly invariant characteristic forms by the Chern-Simons transgression and we also get some twisted anomaly cancellation formulas.