The formulation of the Chern-Simons action for general compact Lie groups using Deligne cohomology

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dc.creatorGomi, Kiyonori
dc.date2001-04-23
dc.date.accessioned2026-07-07T04:11:35Z
dc.date.available2026-07-07T04:11:35Z
dc.descriptionWe 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 function with values in complex numbers. 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.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0104183
dc.identifierhttp://arxiv.org/abs/hep-th/0104183
dc.identifierJ. Math. Sci. Univ. Tokyo 8(2001), 223-242.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50643
dc.subjectHigh Energy Physics - Theory
dc.titleThe formulation of the Chern-Simons action for general compact Lie groups using Deligne cohomology
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