The Extended Cartan Homotopy Formula and a Subspace Separation Method for Chern--Simons Theory

Details The Extended Cartan Homotopy Formula and a Subspace Separation Method for Chern--Simons Theory The Extended Cartan Homotopy Formula and a Subspace Separation Method for Chern--Simons Theory

2006-03-08

arxiv.org/abs/hep-th/0603061v2

Lett.Math.Phys.80:127-138,2007

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 1 figure

Scientific paper

10.1007/s11005-007-0148-0

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 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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