Schreiber Parametrised homotopy theory and gauge enhancement

$\,$

---

• Vincent Braunack-Mayer

  Parametrised homotopy theory
  and gauge enhancement

  talk at

  Higher Structures in M-Theory

  Durham Symposium 2018

  Fortschritte der Physik (2019)

  doi:10.1002/prop.201910003

  arXiv:1903.02862

  pdf slides

---

Abstract In the article BMSS18, we apply two universal constructions in super rational homotopy theory to provide a solution to the problem of gauge enhancement of super M-branes. We prove that the topological charge structure of fundamental super M-branes produces the twisted K-theory charge of Type IIA D-branes under double dimensional reduction when all torsion effects are ignored. Our result is based upon Sati’s conjecture (Sa13) that the topological M-brane charge is classified by degree-4 cohomotopy, and our result in turn contributes to a growing body of evidence for this conjecture (see FSS13, FSS15b, FSS16a, FSS16b, HS17, HSS18).

based on

• Vincent Braunack-Mayer, Hisham Sati, Urs Schreiber

  Gauge enhancement of Super M-Branes

  (arXiv:1806.01115)

• Vincent Braunack-Mayer,

  Rational parameterized stable homotopy theory

  PhD thesis, Zurich 2018

$\,$

$\,$