An article that we have written:
Vincent Braunack-Mayer, Hisham Sati, Urs Schreiber
Gauge enhancement of Super M-Branes
via rational parameterized stable homotopy theory
Communications in Mathematical Physics (2019)
doi:10.1007/s00220-019-03441-4
(arXiv:1806.01115,
$\;\;$exposition for Higher Structures in M-theory,
$\;\;$proceedings contribution: arXiv:1903.02862, doi:10.1002/prop.201910003)
Abstract:
A key open problem in M-theory is the mechanism of “gauge enhancement”, which supposedly makes M-branes exhibit the nonabelian gauge degrees of freedom that are seen perturbatively in the limit of 10d string theory. In fact, since only the twisted K-theory classes represented by nonabelian Chan-Paton gauge fields on D-branes have invariant meaning, the problem is really the lift to M-theory of the twisted K-theory classification of D-brane charges.
Here we show how this problem has a solution by universal constructions in super homotopy theory, at least rationally. We recall how double dimensional reduction of super M-brane charges is described by the cyclification adjunction applied to the 4-sphere, and how M-theory degrees of freedom hidden at ADE-singularities are induced by the suspended Hopf action on the 4-sphere. Combining these, we demonstrate, at the level of rational homotopy theory, that gauge enhancement in M-theory is exhibited by lifting against the fiberwise stabilization of the unit of this cyclification adjunction on the A-type orbispace of the 4-sphere.
Talk slides
Supercocyles and the Brane scan, (pdf, based on talk at StringMath2017)
Structured Homotopy Theory from String Theory (pdf)
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
and taken beyond rational in
See also
Last revised on September 9, 2019 at 08:46:41. See the history of this page for a list of all contributions to it.