E8 bundles and some new anomaly cancellation formulas

TL;DR

This paper constructs new modular forms using $E_8$ bundles and derives novel anomaly cancellation formulas for characteristic forms, expanding upon previous results in the field.

Contribution

It introduces new anomaly cancellation formulas derived from $E_8$ bundle-based modular forms, generalizing earlier formulas in the literature.

Findings

New modular forms over various groups constructed from $E_8$ bundles

Novel anomaly cancellation formulas for characteristic forms

Generalization of previous anomaly cancellation results

Abstract

Using $E_8$ bundles, we construct some new modular forms over $SL(2,{\bf Z})$, $\Gamma^0(2)$ and $\Gamma_0(2)$ and get some new anomaly cancellation formulas of characteristic forms which generalize some anomaly cancellation formulas in [13].