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.
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)
Twisted Cohomotopy implies M-theory anomaly cancellation
presentation at Strings 2019
Brussels 2019
Lecture notes:
Related 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
all summed up in:
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Last revised on July 25, 2019 at 10:39:22. See the history of this page for a list of all contributions to it.