Topological aspects of the partition function of the NS5-brane

Details Topological aspects of the partition function of the NS5-brane Topological aspects of the partition function of the NS5-brane

2011-09-22

arxiv.org/abs/1109.4834v1

Physics

High Energy Physics

High Energy Physics - Theory

16 pages

Scientific paper

To study topological aspects of the partition function of the NS5-brane in type IIA string theory, we define a cohomology class whose vanishing is a necessary condition for this function to be well-defined. This leads to various topological conditions, including a twisted Fivebrane structure as well as secondary cohomology operations arising from a K-theoretic description. We explain how these operations also generate the topological part of the action as well as the phase of the partition function. Part of the discussion also applies to the M5-brane.

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