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

Domenico Fiorenza, Hisham Sati, Urs Schreiber

    Research output: Contribution to journalArticle

    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.

    Original languageEnglish (US)
    Pages (from-to)91-108
    Number of pages18
    JournalJournal of Geometry and Physics
    Volume114
    DOIs
    StatePublished - Apr 1 2017

    Fingerprint

    M-Theory
    Type Theory
    String Theory
    string theory
    Free Loop Space
    Dimensional Reduction
    Cocycle
    K-theory
    Branes
    Twist
    algebra
    Correspondence
    Charge
    Algebra
    Coefficient
    coefficients

    Keywords

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

    ASJC Scopus subject areas

    • Mathematical Physics
    • Physics and Astronomy(all)
    • Geometry and Topology

    Cite this

    Rational sphere valued supercocycles in M-theory and type IIA string theory. / Fiorenza, Domenico; Sati, Hisham; Schreiber, Urs.

    In: Journal of Geometry and Physics, Vol. 114, 01.04.2017, p. 91-108.

    Research output: Contribution to journalArticle

    Fiorenza, Domenico ; Sati, Hisham ; Schreiber, Urs. / Rational sphere valued supercocycles in M-theory and type IIA string theory. In: Journal of Geometry and Physics. 2017 ; Vol. 114. pp. 91-108.
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