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The Extended Cartan Homotopy Formula and a subspace separation method for Chern-Simons theory

AutorIzaurieta, Fernando; Rodríguez, Eduardo; Salgado, Patricio
Palabras claveChern–Simons theories
Field theories in higher dimensions
Supersymmetric gauge theories
Fecha de publicación20-mar-2007
EditorSpringer
CitaciónLetters in Mathematical Physics 80(2): 127-138 (2007)
ResumenIn 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.
Descripción12 pages, 1 figure.-- MSC codes: 57R20, 70S15, 81T60.-- ISI Article Identifier: 000246408200003.-- ArXiv pre-print available at: http://arxiv.org/abs/hep-th/0603061
Printed version published in May 2007.
Versión del editorhttp://dx.doi.org/10.1007/s11005-007-0148-0
URIhttp://hdl.handle.net/10261/9094
DOI10.1007/s11005-007-0148-0
ISSN0377-9017 (Print)
1573-0530 (Online)
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