Several new $SL(2,Z)$ modular forms and anomaly cancellation formulas
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910131354075136 |
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| author | Wang, Yong |
| author_facet | Wang, Yong |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_13771 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Several new $SL(2,Z)$ modular forms and anomaly cancellation formulas Wang, Yong Differential Geometry 58C20, 57R20, 53C80 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. |
| title | Several new $SL(2,Z)$ modular forms and anomaly cancellation formulas |
| topic | Differential Geometry 58C20, 57R20, 53C80 |
| url | https://arxiv.org/abs/2604.13771 |