The Extended Cartan Homotopy Formula and a Subspace Separation Method for Chern–Simons Theory |
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Authors: | Fernando Izaurieta Eduardo Rodríguez Patricio Salgado |
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Institution: | 1.Arnold Sommerfeld Center for Theoretical Physics,Ludwig-Maximilians-Universit?t München,Munich,Germany;2.Departament de Física Teòrica,Universitat de València,Burjassot,Spain;3.Departamento de Física,Universidad de Concepción,Concepción,Chile |
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Abstract: | In the context of Chern–Simons (CS) Theory, a subspace separation method for the Lagrangian is proposed. The method is based on the iterative use of the Extended Cartan Homotopy Formula, and allows
one to (1) separate the action in bulk and boundary contributions, and (2) systematically split the Lagrangian in appropriate
reflection of the subspace structure of the gauge algebra. In order to apply the method, one must regard CS forms as a particular
case of more general objects known as transgression forms. Five-dimensional CS Supergravity is used as an example to illustrate the method.
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Keywords: | 57R20 70S15 81T60 |
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