0468866 - MÚ 2018 RIV NL eng J - Journal Article
Fiorenza, D. - Schreiber, Urs - Sati, H.
Rational sphere valued supercocycles in M-theory and type IIA string theory.
Journal of Geometry and Physics. Roč. 114, April (2017), s. 91-108. ISSN 0393-0440. E-ISSN 1879-1662
Institutional support: RVO:67985840
Keywords : homotopy Lie algebras * supersymmetry * branes
OECD category: Applied mathematics
Impact factor: 0.712, year: 2017 ; AIS: 0.573, rok: 2017
Result website:
http://www.sciencedirect.com/science/article/pii/S0393044016303047DOI: https://doi.org/10.1016/j.geomphys.2016.11.024

We show that supercocycles on super L\infty-algebras capture, at the rational level, the twisted cohomological charge structure of the fields of MM-theory and of type IIA string theory. We show that rational 4-sphere-valued supercocycles for M-branes in MM-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 KK-theory, with the twist given by the BB-field. In particular, we derive the M2/M5 ... F1/Dp/NS5 correspondence via dimensional reduction of sphere-valued super-L\infty L\infty-cocycles.
Permanent Link: http://hdl.handle.net/11104/0266687