Abstract
We show that supercocycles on super L∞-algebras capture, at the rational level, the twisted cohomological charge structure of the fields of M-theory and 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 with coefficients in the free loop space of the 4-sphere, to yield the Ramond–Ramond fields in the rational image of twisted K-theory, with the twist given by the B-field. In particular, we derive the M2/M5 ↔ F1/Dp/NS5 correspondence via dimensional reduction of sphere-valued super-L∞-cocycles.
Original language | English (US) |
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Pages (from-to) | 91-108 |
Number of pages | 18 |
Journal | Journal of Geometry and Physics |
Volume | 114 |
DOIs | |
State | Published - Apr 1 2017 |
Keywords
- Branes
- Homotopy Lie algebras
- Rational homotopy theory
- Supersymmetry
ASJC Scopus subject areas
- Mathematical Physics
- General Physics and Astronomy
- Geometry and Topology