An article that we have written:
Domenico Fiorenza, Hisham Sati, Urs Schreiber,
Twisted Cohomotopy implies M-Theory anomaly cancellation on 8-manifolds
Communications in Mathematical Physics
377 (2020) 1961-2025
download file:
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:
Along the way, we find that the calibrated exceptional geometries (, , , ) are all induced from the classification of twists in Cohomotopy. Finally we show that the notable factor of in the anomaly polynomial reflects the order of the 3rd stable homotopy group of spheres.
Based on:
Domenico Fiorenza, Hisham Sati, Urs Schreiber:
The rational higher structure of M-theory,
Proceedings of the LMS-EPSRC Durham Symposium:
Higher Structures in M-Theory 2018
Fortschritte der Physik, 2019
Followups (Hypothesis H):
Domenico Fiorenza, Hisham Sati, Urs Schreiber:
Domenico Fiorenza, Hisham Sati, Urs Schreiber:
Equivariant Cohomotopy implies orientifold tadpole cancellation
Lift of fractional D-brane charge to equivariant Cohomotopy theory
Differential Cohomotopy implies intersecting brane observables
Domenico Fiorenza, Hisham Sati, Urs Schreiber:
Twisted Cohomotopy implies twisted String structure on M5-branes
Domenico Fiorenza, Hisham Sati, Urs Schreiber:
Twistorial Cohomotopy implies Green-Schwarz anomaly cancellation
Talk notes:
talk at Souriau 2019
IHP Paris, May 2019
Related talks:
Super p-Brane Theory emerging from Super Homotopy Theory
talk at StringMath2017,
Hamburg 2017
Equivariant Cohomotopy and Branes
talk at String and M-Theory: The New Geometry of the 21st Century,
Singapore 2018
The rational higher structure of M-theory
talk at Higher Structures in M-Theory,
Durham 2018
Last revised on February 12, 2024 at 08:31:05. See the history of this page for a list of all contributions to it.