Generalizations of the Pontryagin and Husain-Kucha actions to manifolds with boundary

被引:10
作者
Barbero G, J. Fernando [1 ,4 ]
Diaz, Bogar [1 ]
Margalef-Bentabol, Juan [2 ,4 ,5 ,6 ]
Villasenor, Eduardo J. S. [3 ,4 ]
机构
[1] CSIC, Inst Estruct Mat, Serrano 123, Madrid 28006, Spain
[2] Univ Politecn Cataluna, Dept Math, Lab Geometry & Dynam Syst, BGSMath,EPSEB, Barcelona, Spain
[3] Univ Carlos III Madrid, Avda Univ 30, Leganes 28911, Spain
[4] CSIC, Unidad Asociada Inst Estruct Mat, Inst Gregorio Millan UC3M, Grp Teor Campos & Fis Estadist, Madrid, Spain
[5] Penn State, Inst Gravitat & Cosmos, University Pk, PA 16802 USA
[6] Penn State, Phys Dept, University Pk, PA 16802 USA
关键词
Classical Theories of Gravity; Gauge Symmetry; Topological Field Theories; VARIABLES; GRAVITY;
D O I
10.1007/JHEP10(2019)121
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
In this paper we study a family of generalizations of the Pontryagin and Husain-Kuchar actions on manifolds with boundary. In some cases, they describe well-known models - either at the boundary or in the bulk - such as 3-dimensional Euclidean general relativity with a cosmological constant or the Husain-Kuchar model. We will use Hamiltonian methods in order to disentangle the physical and dynamical content of the systems that we discuss here. This will be done by relying on a geometric implementation of the Dirac algorithm in the presence of boundaries recently proposed by the authors.
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页数:16
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