Elliptic genera and E8 Bundles in odd dimensions
Differential Geometry
2026-01-27 v1
Abstract
This paper aims to derive new anomaly cancellation formulas by combining modular forms with E8 and E8*E8 bundles. To this end, we systematically twist and generalize known SL(2,Z) modular forms to define new modular forms associated with these bundles on odd-dimensional spin and spin^c manifolds, leading to a new series of anomaly cancellation formulas.
Keywords
Cite
@article{arxiv.2601.18221,
title = {Elliptic genera and E8 Bundles in odd dimensions},
author = {Siyao Liu and Yong Wang},
journal= {arXiv preprint arXiv:2601.18221},
year = {2026}
}
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31pages