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arXiv · 2604.13771

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

Yong Wang
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Abstract

In \cite{HLZ2} and \cite{HHLZ}, using $E_8$ bundles, some modular forms over $SL(2,{\bf Z})$ were constructed on $12$-dimensional manifolds and the Witten-Freed-Hopkins anomaly cancellation formula was derived by these $SL(2,Z)$ modular forms. In this paper, we construct several similar $SL(2,Z)$ modular forms on any dimensional manifolds and some new anomaly cancellation formulas and applications are given.

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Yong Wang. 2026-04-15. Several new $SL(2,Z)$ modular forms and anomaly cancellation formulas. https://arxiv.org/abs/2604.13771

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