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 2018
Fortschritte der Physik
Volume 67, Issue 8-9 (2019)
download article:
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.
$\,$
slides taken from Equivariant 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
Further checks of Hypothesis H beyond rational Cohomotopy, in full twisted/equivariant Cohomotopy:
Domenico Fiorenza, Hisham Sati, Urs Schreiber:
Domenico Fiorenza, Hisham Sati, Urs Schreiber:
Twisted Cohomotopy implies level quantization of the full 6d Wess-Zumino-term of the M5-brane
Equivariant Cohomotopy implies orientifold tadpole cancellation
Related talks:
Super p-Brane Theory emerging from Super Homotopy Theory
talk at StringMath2017,
Hamburg, 2017
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
Singapore, 2018
Introduction to Higher Supergeometry
talk at Higher structures in M-theory, 2018
Durham, 2018
Twisted Cohomotopy implies M-theory anomaly cancellation
presentation at Strings2019
Brussels, 2019
talk at Duality in Homotopy theory 2017
Regensburg, 2017
Equivariant Cohomotopy of toroidal orbifolds
talk at Prof. Sadok Kallel‘s group seminar
AUS Sharjah, 2019
Super Lie n-algebra of Super p-branes
talk at TQFT Seminar Lisbon, 2017 alongside Iberian Strings 2017
Lisbon 2017
Structured Homotopy Theory and String Theory, and Equivariant Stable Cohomotopy and Branes
talks at Geometry, Topology and Physics
NYU Abu Dhabi, 2018
Last revised on December 9, 2022 at 14:21:50. See the history of this page for a list of all contributions to it.