English

Several new $SL(2,Z)$ modular forms and anomaly cancellation formulas

Differential Geometry 2026-04-16 v1

Abstract

In \cite{HLZ2} and \cite{HHLZ}, using E8E_8 bundles, some modular forms over SL(2,Z)SL(2,{\bf Z}) were constructed on 1212-dimensional manifolds and the Witten-Freed-Hopkins anomaly cancellation formula was derived by these SL(2,Z)SL(2,Z) modular forms. In this paper, we construct several similar SL(2,Z)SL(2,Z) modular forms on any dimensional manifolds and some new anomaly cancellation formulas and applications are given.

Keywords

Cite

@article{arxiv.2604.13771,
  title  = {Several new $SL(2,Z)$ modular forms and anomaly cancellation formulas},
  author = {Yong Wang},
  journal= {arXiv preprint arXiv:2604.13771},
  year   = {2026}
}
R2 v1 2026-07-01T12:10:36.157Z