an article that we have written:
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, August 2018
Fortschritte der Physik, 2019
Abstract. We review how core structures of string/M-theory emerge as higher structures in super homotopy theory; namely from systematic analysis of the brane bouquet of invariant universal higher central extensions growing out of the superpoint. Since super homotopy theory is immensely rich, to start with we consider this in the rational/infinitesimal approximation which ignores torsion subgroups in brane charges and focuses on tangent spaces of super spacetime. Already at this level, super homotopy theory discovers all super p-brane species, their intersection laws, their M/IIA-, T- and S-duality relations, their black brane avatars at ADE-singularities, including their instanton contributions, and, last not least, Dirac charge quantization: for the D-branes it recovers twisted K-theory, rationally, but for the M-branes it gives Cohomotopy cohomology theory. We close with an outlook on the lift of these results beyond the rational/infinitesimal approximation to a candidate formalization of microscopic M-theory in super homotopy theory.
This is based on the following contributed talks to the Durham meeting:
Domenico Fiorenza, (super-) Rational T-duality from (super-) L∞-algebras
Hisham Sati, Geometric and topological aspects of M-branes (pdf)
as well as
which themselves are based on these
articles:
Super Lie n-algebra extensions, higher WZW models and super p-branes
T-Duality from super Lie n-algebra cocycles for super p-branes
which in turn paved the ground for these
further developments:
Related talks:
The Higher Structure of 11d Supergravity,
talk at Souriau 2019
IHP Paris, May 2019
Equivariant Cohomotopy and Branes (talk at String and M-Theory: The New Geometry of the 21st Century, 2018)
Introduction to Higher Supergeometry (talk at Higher structures in M-theory, 2018)
Super topological T-Duality (talk at Duality in Homotopy theory 2017)
Super Lie n-algebra of Super p-branes (talk at TQFT Seminar Lisbon, 2017 alongside Iberian Strings 2017)
Structured Homotopy Theory and String Theory, and Equivariant Stable Cohomotopy and Branes (talks at Geometry, Topology and Physics, New York University, Abu Dhabi)
Last revised on June 22, 2019 at 13:37:02. See the history of this page for a list of all contributions to it.