Abstract
AbstractWe perform a bordism computation to show that the $$E_{7(7)}({\mathbb {R}})$$
E
7
(
7
)
(
R
)
U-duality symmetry of 4d $${\mathcal {N}} = 8$$
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 $$\eta $$
η
-invariants on the Wu manifold, which generates the bordism group.
Publisher
Springer Science and Business Media LLC
Reference96 articles.
1. Adams, J.F.: On the structure and applications of the Steenrod algebra. Commentarii Mathematici Helvetici 32, 180–214 (1957/58)
2. Albanese, M., Milivojević, A.: $${\rm Spin}^h$$ and further generalisations of spin. J. Geom. Phys. 164, 13 (2021). arXiv:2008.04934
3. Anderson, D.W.: Universal coefficient theorems for $$K$$-theory (1969). https://faculty.tcu.edu/gfriedman/notes/Anderson-UCT.pdf
4. Averbuh, B.G.: Algebraic structure of cobordism groups. Dokl. Akad. Nauk SSSR 125, 11–14 (1959)
5. Barden, D.: Simply connected five-manifolds. Ann. Math. 2(82), 365–385 (1965)
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