An article that we have written:
Domenico Fiorenza, Hisham Sati, Urs Schreiber,
Rational sphere valued supercocycles in M-theory and type IIA string theory
Journal of Geometry and Physics, Volume 114, April 2017, Pages 91-108
(arXiv:1606.03206, published version: pdf, doi:10.1016/j.geomphys.2016.11.024)
Abstract We show that supercocycles on super L-infinity algebras capture, at the rational level, the twisted cohomological charge structure of the fields of M-theory of type IIA string theory. We show that rational 4-sphere-valued supercocycles for M-branes in M-theory descend to supercocycles in type IIA string theory to yield the Ramond-Ramond fields predicted by the rational image of twisted K-theory, with the twist given by the B-field. In particular, we derive the M2/M5 $\leftrightarrow$ F1/Dp/NS5 correspondence via dimensional reduction of sphere-valued $L_\infty$ supercocycles in rational homotopy theory.
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Exposition:
Background reading:
Further reading:
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differential cohomology in a cohesive topos
Rational sphere valued supercocycles in M-theory
Last revised on March 16, 2018 at 11:36:01. See the history of this page for a list of all contributions to it.