The Formulation of the Chern-Simons Action for General Compact Lie Groups Using Deligne Cohomology

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概要

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• We formulate the Chern-Simons action for any compact Lie group using Deligne cohomology. This action is defined as a certain function on the space of smooth maps from the underlying 3-manifold to the classifying space for principal bundles. If the 3-manifold is closed, the action is a ${\bf C}^*$-valued function. If the 3-manifold is not closed, then the action is a section of a Hermitian line bundle associated with the Riemann surface which appears as the boundary.

• 東京大学の論文

著者

• Gomi Kiyonori

  Graduate School Of Mathematical Sciences University Of Tokyo

関連論文

• The Formulation of the Chern-Simons Action for General Compact Lie Groups Using Deligne Cohomology

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