A talk that I have given:
Urs Schreiber$\;\;$ (CQTS @ NYU, Abu-Dhabi)
Cyclic loop spaces
via higher topos theory
in high energy physics
at: Loop spaces and Higher category,
HUST & SCUT (2-3 Dec 2022)
notes: pdf
video: rec
Abstract. One may observe [CMP 371 (2019)] that the construction of cyclified (“twisted”) free loop spaces, when regarded in higher topos theory, turns out to be nothing but the “right base change” to the context of the moduli stack of the circle. This fundamental fact implies at once good formal properties, and lifts the construction to all kinds of higher generalized geometries, such as to orbifolds – where we claim it reproduces Z. Huan's inertia construction –, and to super-rational homotopy types – where we showed that it witnesses the rules of topological T-duality acting on the super D-brane charges. I explain how these cyclified loop stack adjunctions formalize exactly what physicists mean by “double dimensional reduction” in its effect on brane charges/fluxes; and I close with an outlook on using these insights to define T-folds in the generality of twisted equivariant differential (TED) KR-theory.
This is joint work with Hisham Sati.
Based on:
Related talks:
Super Lie $n$-algebra of Super $p$-branes
at Fields, Strings, and Geometry Seminar
Surrey, Dec 2016
at Conf. on Duality in Homotopy theory
Regensburg, April 2017
Introduction to Higher Supergeometry
at Higher Structures in M-Theory 2018
Durham, Aug 2018
Last revised on January 2, 2023 at 11:21:20. See the history of this page for a list of all contributions to it.