TY - JOUR
T1 - The extended cartan homotopy formula and a subspace separation method for chern-simons theory
AU - Izaurieta, Fernando
AU - Rodríguez, Eduardo
AU - Salgado, Patricio
N1 - Funding Information:
The authors wish to thank J. A. de Azcárraga for his warm hospitality at the Universitat de València. F. I. and E. R. wish to thank D. Lüst for his kind hospitality at the Humboldt-Universität zu Berlin and at the Arnold Sommerfeld Center for Theoretical Physics in Munich. P. S. was partially supported by FONDECYT Grant 1040624 and by Universidad de Concepción through Semilla Grants 205.011.036-1S, 205.011.037-1S. F. I. and E. R. were supported by Minis-terio de Educación (Chile) through MECESUP Grant UCO 0209 and by grants from the German Academic Exchange Service (DAAD).
PY - 2007/5
Y1 - 2007/5
N2 - 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.
AB - 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.
KW - Chern-simons theories
KW - Field theories in higher dimensions
KW - Supersymmetric gauge theories
UR - https://www.scopus.com/pages/publications/34248354431
U2 - 10.1007/s11005-007-0148-0
DO - 10.1007/s11005-007-0148-0
M3 - Article
AN - SCOPUS:34248354431
SN - 0377-9017
VL - 80
SP - 127
EP - 138
JO - Letters in Mathematical Physics
JF - Letters in Mathematical Physics
IS - 2
ER -