TY - JOUR
T1 - Rational sphere valued supercocycles in M-theory and type IIA string theory
AU - Fiorenza, Domenico
AU - Sati, Hisham
AU - Schreiber, Urs
N1 - Publisher Copyright:
© 2016 Elsevier B.V.
PY - 2017/4/1
Y1 - 2017/4/1
N2 - 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.
AB - 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.
KW - Branes
KW - Homotopy Lie algebras
KW - Rational homotopy theory
KW - Supersymmetry
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U2 - 10.1016/j.geomphys.2016.11.024
DO - 10.1016/j.geomphys.2016.11.024
M3 - Article
AN - SCOPUS:85007140105
SN - 0393-0440
VL - 114
SP - 91
EP - 108
JO - Journal of Geometry and Physics
JF - Journal of Geometry and Physics
ER -