# Schreiber StringMath2017

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, YT)

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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:

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:

Related lecture notes:

Related articles in full twisted/equivariant Cohomotopy (Hypothesis H):

Last revised on February 16, 2023 at 07:59:54. See the history of this page for a list of all contributions to it.