Rational sphere valued supercocycles in M-theory and type IIA string theory

Domenico Fiorenza, Hisham Sati, Urs Schreiber

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)91-108
Number of pages18
JournalJournal of Geometry and Physics
StatePublished - Apr 1 2017


  • Branes
  • Homotopy Lie algebras
  • Rational homotopy theory
  • Supersymmetry

ASJC Scopus subject areas

  • Mathematical Physics
  • General Physics and Astronomy
  • Geometry and Topology


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