A talk that I have given:
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$\;$ Urs Schreiber (CAS Prague & HCM Bonn)
$\;$ Super $p$-Brane Theory emerging
$\;$ from Super Homotopy Theory
$\;$ talk at String Math 2017, Hamburg $\;\;\;$ (slides, expo, video)
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Abstract. It is a notorious open problem to determine the nature of the non-pertubative theory formerly known as Strings. I present results showing that, rationally, many of its phenomena emerge as stages of a Whitehead tower, invariant modulo R-symmetry, that emerges out of the superpoint regarded in super-geometric rational homotopy theory:
This includes super-spacetime as such, the bouquet of all Green-Schwarz super p-branes, D-brane charge in twisted K-theory, M-brane charge, double dimensional reduction, T-duality, Buscher rules for RR-fields, doubled spacetimes, F-theory fibrations, S-duality. The orbifold $S^4/S^1$ (familiar from the near horizon geometry of M5-branes at A-type singularities) appears in a surprising unifying role.
These results (arXiv:1611.06536, arXiv:1702.01774 and arXiv:1806.01115) are joint with Hisham Sati and Vincent Braunack-Mayer, John Huerta, Domenico Fiorenza, see below.
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For comprehensive review see:
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
This anlysis in super-rational homotopy theory led to a hypothesis about its non-rational completion, see at
for more on this.
Further related talks:
The Higher Structure of 11d Supergravity
talk at Souriau 2019
IHP Paris, 2019
Twisted Cohomotopy implies M-theory anomaly cancellation
presentation at Strings 2019
Brussels, 2019
Equivariant Cohomotopy and Branes
talk at String and M-Theory: The New Geometry of the 21st Century
NUS Singapore, 2018
Equivariant Super Homotopy Theory
talk at Geometry in Modal Homotopy Type Theory
CMU Pittsburgh, 2019
Introduction to Higher Supergeometry
talk at Higher structures in M-theory, 2018
Durham, 2018
talk at Duality in Homotopy Theory 2017
Regensburg, 2017
Super Lie n-algebra of Super p-branes
talk at TQFT Seminar Lisbon, 2017 alongside Iberian Strings 2017
IST Lisbon, 2017
Structured Homotopy Theory and String Theory
talk at Geometry, Topology and Physics 2018
NYU Abu Dhabi, 2018
Equivariant Stable Cohomotopy and Branes
talk at Geometry, Topology and Physics 2018
NYU Abu Dhabi, 2018
Related lecture notes:
Related articles in the approximation of rational Cohomotopy:
Super Lie n-algebra extensions, higher WZW models and super p-branes
T-Duality from super Lie n-algebra cocycles for super p-branes
Super-exceptional M5-brane model – Emergence of SU(2)-flavor sector
Related articles in full twisted/equivariant Cohomotopy (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
Last revised on September 25, 2021 at 05:44:35. See the history of this page for a list of all contributions to it.