Twisted topological structures related to M-branes II

Twisted Wu and Wuc structures

Hisham Sati

    Research output: Contribution to journalArticle

    Abstract

    Studying the topological aspects of M-branes in M-theory leads to various structures related to Wu classes. First we interpret Wu classes themselves as twisted classes and then define twisted notions of Wu structures. These generalize many known structures, including Pin - structures, twisted Spin structures in the sense of DistlerFreedMoore, Wu-twisted differential cocycles appearing in the work of BelovMoore, as well as ones introduced by the author, such as twisted Membrane and twisted String c structures. In addition, we introduce Wu c structures, which generalize Pin c structures, as well as their twisted versions. We show how these structures generalize and encode the usual structures defined via StiefelWhitney classes.

    Original languageEnglish (US)
    Article number1250056
    JournalInternational Journal of Geometric Methods in Modern Physics
    Volume9
    Issue number7
    DOIs
    StatePublished - Nov 1 2012

    Fingerprint

    strings
    membranes

    Keywords

    • anomalies
    • M-branes
    • M-theory
    • Spin structure and generalizations
    • StiefelWhitney classes
    • String structure
    • Wu classes

    ASJC Scopus subject areas

    • Physics and Astronomy (miscellaneous)

    Cite this

    Twisted topological structures related to M-branes II : Twisted Wu and Wuc structures. / Sati, Hisham.

    In: International Journal of Geometric Methods in Modern Physics, Vol. 9, No. 7, 1250056, 01.11.2012.

    Research output: Contribution to journalArticle

    @article{b052163f5d964a5a99467b86e1df8209,
    title = "Twisted topological structures related to M-branes II: Twisted Wu and Wuc structures",
    abstract = "Studying the topological aspects of M-branes in M-theory leads to various structures related to Wu classes. First we interpret Wu classes themselves as twisted classes and then define twisted notions of Wu structures. These generalize many known structures, including Pin - structures, twisted Spin structures in the sense of DistlerFreedMoore, Wu-twisted differential cocycles appearing in the work of BelovMoore, as well as ones introduced by the author, such as twisted Membrane and twisted String c structures. In addition, we introduce Wu c structures, which generalize Pin c structures, as well as their twisted versions. We show how these structures generalize and encode the usual structures defined via StiefelWhitney classes.",
    keywords = "anomalies, M-branes, M-theory, Spin structure and generalizations, StiefelWhitney classes, String structure, Wu classes",
    author = "Hisham Sati",
    year = "2012",
    month = "11",
    day = "1",
    doi = "10.1142/S0219887812500569",
    language = "English (US)",
    volume = "9",
    journal = "International Journal of Geometric Methods in Modern Physics",
    issn = "0219-8878",
    publisher = "World Scientific Publishing Co. Pte Ltd",
    number = "7",

    }

    TY - JOUR

    T1 - Twisted topological structures related to M-branes II

    T2 - Twisted Wu and Wuc structures

    AU - Sati, Hisham

    PY - 2012/11/1

    Y1 - 2012/11/1

    N2 - Studying the topological aspects of M-branes in M-theory leads to various structures related to Wu classes. First we interpret Wu classes themselves as twisted classes and then define twisted notions of Wu structures. These generalize many known structures, including Pin - structures, twisted Spin structures in the sense of DistlerFreedMoore, Wu-twisted differential cocycles appearing in the work of BelovMoore, as well as ones introduced by the author, such as twisted Membrane and twisted String c structures. In addition, we introduce Wu c structures, which generalize Pin c structures, as well as their twisted versions. We show how these structures generalize and encode the usual structures defined via StiefelWhitney classes.

    AB - Studying the topological aspects of M-branes in M-theory leads to various structures related to Wu classes. First we interpret Wu classes themselves as twisted classes and then define twisted notions of Wu structures. These generalize many known structures, including Pin - structures, twisted Spin structures in the sense of DistlerFreedMoore, Wu-twisted differential cocycles appearing in the work of BelovMoore, as well as ones introduced by the author, such as twisted Membrane and twisted String c structures. In addition, we introduce Wu c structures, which generalize Pin c structures, as well as their twisted versions. We show how these structures generalize and encode the usual structures defined via StiefelWhitney classes.

    KW - anomalies

    KW - M-branes

    KW - M-theory

    KW - Spin structure and generalizations

    KW - StiefelWhitney classes

    KW - String structure

    KW - Wu classes

    UR - http://www.scopus.com/inward/record.url?scp=84866103208&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84866103208&partnerID=8YFLogxK

    U2 - 10.1142/S0219887812500569

    DO - 10.1142/S0219887812500569

    M3 - Article

    VL - 9

    JO - International Journal of Geometric Methods in Modern Physics

    JF - International Journal of Geometric Methods in Modern Physics

    SN - 0219-8878

    IS - 7

    M1 - 1250056

    ER -