Fivebrane structures

Hisham Sati, Urs Schreiber, Jim Stasheff

Research output: Contribution to journalArticle

Abstract

We study the cohomological physics of fivebranes in type II and heterotic string theory. We give an interpretation of the one-loop term in type IIA, which involves the first and second Pontrjagin classes of spacetime, in terms of obstructions to having bundles with certain structure groups. Using a generalization of the GreenSchwarz anomaly cancellation in heterotic string theory which demands the target space to have a String structure, we observe that the "magnetic dual" version of the anomaly cancellation condition can be read as a higher analog of String structure, which we call Fivebrane structure. This involves lifts of orthogonal and unitary structures through higher connected covers which are not just 3- but even 7-connected. We discuss the topological obstructions to the existence of Fivebrane structures. The dual version of the anomaly cancellation points to a relation of string and Fivebrane structures under electric-magnetic duality.

Original languageEnglish (US)
Pages (from-to)1197-1240
Number of pages44
JournalReviews in Mathematical Physics
Volume21
Issue number10
DOIs
StatePublished - Nov 1 2009

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cancellation
strings
anomalies
string theory
Cancellation
Anomaly
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bundles
Obstruction
analogs
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Duality
Space-time
Physics
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Term

Keywords

  • Anomaly
  • Fivebrane
  • Generalizations of fiber spaces and bundles
  • Obstruction theory
  • String theory
  • Superstring theory

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Fivebrane structures. / Sati, Hisham; Schreiber, Urs; Stasheff, Jim.

In: Reviews in Mathematical Physics, Vol. 21, No. 10, 01.11.2009, p. 1197-1240.

Research output: Contribution to journalArticle

Sati, H, Schreiber, U & Stasheff, J 2009, 'Fivebrane structures', Reviews in Mathematical Physics, vol. 21, no. 10, pp. 1197-1240. https://doi.org/10.1142/S0129055X09003840
Sati, Hisham ; Schreiber, Urs ; Stasheff, Jim. / Fivebrane structures. In: Reviews in Mathematical Physics. 2009 ; Vol. 21, No. 10. pp. 1197-1240.
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