Twisted topological structures related to M-branes II: Twisted Wu and Wuc structures

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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

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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

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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",
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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.

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