Constraints on heterotic M-theory from s-cobordism

Hisham Sati

    Research output: Contribution to journalArticle

    Abstract

    We interpret heterotic M-theory in terms of h-cobordism, that is the eleven-manifold is a product of the ten-manifold times an interval is translated into a statement that the former is a cobordism of the latter which is a homotopy equivalence. In the non-simply connected case, which is important for model building, the interpretation is then in terms of s-cobordism, so that the cobordism is a simple-homotopy equivalence. This gives constraints on the possible cobordisms depending on the fundamental groups and hence provides a characterization of possible compactification manifolds using the Whitehead group - a quotient of algebraic K-theory of the integral group ring of the fundamental group - and a distinguished element, the Whitehead torsion. We also consider the effect on the dynamics via diffeomorphisms and general dimensional reduction, and comment on the effect on F-theory compactifications.

    Original languageEnglish (US)
    Pages (from-to)739-759
    Number of pages21
    JournalNuclear Physics B
    Volume853
    Issue number3
    DOIs
    StatePublished - Dec 21 2011

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    equivalence
    quotients
    torsion
    intervals
    rings
    products

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Constraints on heterotic M-theory from s-cobordism. / Sati, Hisham.

    In: Nuclear Physics B, Vol. 853, No. 3, 21.12.2011, p. 739-759.

    Research output: Contribution to journalArticle

    Sati, Hisham. / Constraints on heterotic M-theory from s-cobordism. In: Nuclear Physics B. 2011 ; Vol. 853, No. 3. pp. 739-759.
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