Journal
LETTERS IN MATHEMATICAL PHYSICS
Volume 80, Issue 2, Pages 127-138Publisher
SPRINGER
DOI: 10.1007/s11005-007-0148-0
Keywords
Chern-Simons theories; field theories in higher dimensions; supersymmetric gauge theories
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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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