Topological field theories in n-dimensional spacetimes and Cartan's equations

被引:9
|
作者
Cuesta, Vladimir [1 ]
Montesinos, Merced [2 ]
Velazquez, Mercedes [2 ]
Vergara, Jose David [1 ]
机构
[1] Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, Ciudad De Mexico 70543, Mexico
[2] Inst Politecn Nacl, Dept Fis, Ctr Invest & Estudios Avanzados, Ciudad De Mexico 07360, Mexico
关键词
D O I
10.1103/PhysRevD.78.064046
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Action principles of the BF type for diffeomorphism invariant topological field theories living in n-dimensional spacetime manifolds are presented. Their construction is inspired by Cuesta and Montesinos' recent paper where Cartan's first and second structure equations together with first and second Bianchi identities are treated as the equations of motion for a field theory. In opposition to that paper, the current approach involves also auxiliary fields and holds for arbitrary n-dimensional spacetimes. Dirac's canonical analysis for the actions is detailedly carried out in the generic case and it is shown that these action principles define topological field theories, as mentioned. The current formalism is a generic framework to construct geometric theories with local degrees of freedom by introducing additional constraints on the various fields involved that destroy the topological character of the original theory. The latter idea is implemented in two-dimensional spacetimes where gravity coupled to matter fields is constructed out, which has indeed local excitations.
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页数:10
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