nLab
Dirac charge quantization and generalized differential cohomology

Context

Differential cohomology

Ingredients

Connections on bundles

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Higher abelian differential cohomology

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Higher nonabelian differential cohomology

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Fiber integration

Application to gauge theory

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Physics

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Surveys, textbooks and lecture notes

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    • Axiomatizations

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    • Tools

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    • Structural phenomena

    • Types of quantum field thories

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        • examples

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This entry is about the article

  • Dan Freed, Dirac charge quantization and generalized differential cohomology, Surveys in Differential Geometry, Int. Press, Somerville, MA, 2000, pp. 129–194 (arXiv:hep-th/0011220)

This discusses how differential cohomology – specifically ordinary differential cohomology and differential K-theory – is the correct formalism for describing gauge fields and higher gauge fields in physics and string theory (such as higher U(1)-gauge fields like the electromagnetic field, the Kalb-Ramond field and the supergravity C-field, and also the RR-field) and the quantum anomaly of their action functionals.

category: reference

Last revised on May 15, 2018 at 11:50:29. See the history of this page for a list of all contributions to it.