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Rational sphere valued supercocycles in [formula omitted]-theory and type IIA string theory.
- Source :
-
Journal of Geometry & Physics . Apr2017, Vol. 114, p91-108. 18p. - Publication Year :
- 2017
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03930440
- Volume :
- 114
- Database :
- Academic Search Index
- Journal :
- Journal of Geometry & Physics
- Publication Type :
- Academic Journal
- Accession number :
- 122414618
- Full Text :
- https://doi.org/10.1016/j.geomphys.2016.11.024