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Fivebrane Structures · Around

2008

Fivebrane Structures

Sati, Hisham, Schreiber, Urs, Stasheff, Jim

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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 Green-Schwarz anomaly cancelation in heterotic string theory which demands the target space to have a String structure, we observe that the "magnetic dual" version of the anomaly cancelation 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.

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