论文标题

Bordism理论异常取消可以为您带来什么作用

What bordism-theoretic anomaly cancellation can do for U

论文作者

Debray, Arun, Yu, Matthew

论文摘要

我们执行一个界限计算,以表明$ e_ {7(7)}(\ mathbb {r})$ u-u-duality对称4D $ \ mathcal n = 8 $ supergravity可能对扰动方法有异常不相关;然后我们表明这种异常是微不足道的。我们使用Adams和Atiyah-Hirzebruch频谱序列计算相关的bordism组,并通过计算WU歧管上的$η$ invariants来显示出异常的消失,从而生成Bordism群。

We perform a bordism computation to show that the $E_{7(7)}(\mathbb{R})$ U-duality symmetry of 4d $\mathcal N = 8$ supergravity could have an anomaly invisible to perturbative methods; then we show that this anomaly is trivial. We compute the relevant bordism group using the Adams and Atiyah-Hirzebruch spectral sequences, and we show the anomaly vanishes by computing $η$-invariants on the Wu manifold, which generates the bordism group.

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