Cubic forms, anomaly cancellation and modularity
Differential Geometry
2021-10-26 v2 High Energy Physics - Theory
Mathematical Physics
Algebraic Topology
math.MP
Abstract
Motivated by the cubic forms and anomaly cancellation formulas of Witten-Freed-Hopkins, we give some new cubic forms on spin, spin, spin and orientable 12-manifolds respectively. We relate them to -invariants when the manifolds are with boundary, and mod 2 indices on 10 dimensional characteristic submanifolds when the manifolds are spin or spin. Our method of producing these cubic forms is a combination of (generalized) Witten classes and the character of the basic representation of affine .
Cite
@article{arxiv.2005.02344,
title = {Cubic forms, anomaly cancellation and modularity},
author = {Fei Han and Ruizhi Huang and Kefeng Liu and Weiping Zhang},
journal= {arXiv preprint arXiv:2005.02344},
year = {2021}
}
Comments
final version