Rational sphere valued supercocycles in M-theory

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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 double dimensional reduction of sphere-valued L-∞ supercocycles in rational homotopy theory.

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Last revised on January 23, 2020 at 04:56:59. See the history of this page for a list of all contributions to it.