a talk that I once gave:
Cohomotopy Theory and Branes
Geometry, Topology & Physics
Abu Dhabi, March 2020
download:
Abstract. At the heart of the unification of geometry with topology (read: homotopy theory) in physics is “Dirac charge quantization”: The fluxes/charges of fields/branes are cocycles in a suitable generalized differential cohomology theory. While for the ordinary electromagnetic field/magnetic monopoles this is ordinary differential cohomology in degree 2, Hypothesis H says that for the supergravity C-field/M-branes it is differential Cohomotopy theory in degree 4. The talk means to indicate some ingredients and some consequences of this statement.
Based on:
Domenico Fiorenza, Hisham Sati, Urs Schreiber:
The WZW term of the M5-brane and differential cohomotopy
J. Math. Phys. 2015
Domenico Fiorenza, Hisham Sati, Urs Schreiber:
Twisted Cohomotopy implies M-theory anomaly cancellation
Comm. Math. Phys. 2020
Equivariant Cohomotopy implies orientifold tadpole cancellation
Differential Cohomotopy implies intersecting brane observables
Related talk notes:
Microscopic Brane Physics from Cohomotopy
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Twisted Cohomotopy implies M-theory anomaly cancellation
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Equivariant Cohomotopy and Branes
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Equivariant Stable Cohomotopy and Branes
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Equivariant cohomology of M2/M5-branes
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MPI Bonn, 2016
Last revised on March 7, 2020 at 06:49:42. See the history of this page for a list of all contributions to it.