# Schreiber Twisted Cohomotopy implies M-theory anomaly cancellation on 8-manifolds

An article that we have written:

Abstract. We show that all the expected anomaly cancellations in M-theory follow from charge-quantizing the C-field in the non-abelian cohomology theory twisted Cohomotopy (“Hypothesis H”). Specifically, we show that such cocycles exhibit all of the following:

1. the half-integral shifted flux quantization condition,
2. the cancellation of the total M5-brane anomaly,
4. the cancellation of the $W_7$ spacetime anomaly,
5. the C-field integral equation of motion,
6. the C-field background charge.

Along the way, we find that the calibrated $N =1$ exceptional geometries (${Spin}(7)$, $G_2$, ${SU}(3)$, ${SU}(2)$) are all induced from the classification of twists in Cohomotopy. Finally we show that the notable factor of $1/24$ in the anomaly polynomial reflects the order of the 3rd stable homotopy group of spheres.

Based on:

Followups (Hypothesis H):

Talk notes:

Related talks:

Last revised on March 30, 2021 at 07:20:28. See the history of this page for a list of all contributions to it.