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Rational sphere valued supercocycles in M-theory and type IIA string theory | Domenico Fiorenza
; Hisham Sati
; Urs Schreiber
; | Date: |
10 Jun 2016 | Abstract: | We show that supercocycles on super $L_infty$-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 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. | Source: | arXiv, 1606.3206 | Services: | Forum | Review | PDF | Favorites |
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