The extended cartan homotopy formula and a subspace separation method for chern-simons theory

Fernando Izaurieta; Eduardo Rodríguez; Patricio Salgado

doi:10.1007/s11005-007-0148-0

The extended cartan homotopy formula and a subspace separation method for chern-simons theory

Fernando Izaurieta^*
, Eduardo Rodríguez
, Patricio Salgado

^*Autor correspondiente de este trabajo

Arnold Sommerfeld Center for Theoretical Physics
Ludwig Maximilian University of Munich
Departament de Física Teòrica
University of Valencia
Departamento de Física
Universidad de Concepción

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

38 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	127-138
Número de páginas	12
Publicación	Letters in Mathematical Physics
Volumen	80
N.º	2
DOI	https://doi.org/10.1007/s11005-007-0148-0
Estado	Publicada - 2007
Publicado de forma externa	Sí

Nota bibliográfica

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).

Áreas temáticas de ASJC Scopus

Física estadística y no lineal
Física matemática

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10.1007/s11005-007-0148-0

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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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author = "Fernando Izaurieta and Eduardo Rodr{\'i}guez and Patricio Salgado",

note = "Funding Information: The authors wish to thank J. A. de Azc{\'a}rraga for his warm hospitality at the Universitat de Val{\`e}ncia. F. I. and E. R. wish to thank D. L{\"u}st for his kind hospitality at the Humboldt-Universit{\"a}t 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 Concepci{\'o}n through Semilla Grants 205.011.036-1S, 205.011.037-1S. F. I. and E. R. were supported by Minis-terio de Educaci{\'o}n (Chile) through MECESUP Grant UCO 0209 and by grants from the German Academic Exchange Service (DAAD).",

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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.

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KW - Chern-simons theories

KW - Field theories in higher dimensions

KW - Supersymmetric gauge theories

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The extended cartan homotopy formula and a subspace separation method for chern-simons theory

Resumen

Nota bibliográfica

Áreas temáticas de ASJC Scopus

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