A covariant formalism for Chern-Simons gravity

被引:30
|
作者
Borowiec, A
Ferraris, M
Francaviglia, M
机构
[1] Univ Wroclaw, Inst Theoret Phys, PL-50204 Wroclaw, Poland
[2] Univ Turin, Dipartimento Matemat, I-10123 Turin, Italy
来源
关键词
D O I
10.1088/0305-4470/36/10/318
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Chern-Simons type Lagrangians in d = 3 dimensions are analysed from the point of view of their covariance and globality. We use the transgression formula to find out a new fully covariant and global Lagrangian for Chern-Simons gravity: the price for establishing globality is hidden in a bimetric (or biconnection) structure. Such a formulation allows us to calculate from a global and simpler viewpoint the energy-momentum complex and the superpotential both for Yang-Mills and gravitational examples.
引用
收藏
页码:2589 / 2598
页数:10
相关论文
共 50 条
  • [1] Covariant lagrangian formalism for chern-simons theories
    Borowiec, A.
    Fatibene, L.
    Francaviglia, M.
    Mercadante, S.
    [J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2007, 4 (02) : 277 - 283
  • [2] Topological five-dimensional Chern-Simons gravity theory in the canonical covariant formalism
    Zandron, OS
    [J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2003, 42 (11) : 2705 - 2720
  • [3] Covariant charges in Chern-Simons AdS3 gravity
    Allemandi, G
    Francaviglia, M
    Raiteri, M
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2003, 20 (03) : 483 - 506
  • [4] Gravitational Chern-Simons, and Chern-Simons Gravity in All Dimensions
    Radu, Eugen
    Tchrakian, D. H.
    [J]. PHYSICS OF PARTICLES AND NUCLEI LETTERS, 2020, 17 (05) : 753 - 759
  • [5] Covariant formulation of Chern-Simons theories
    Fatibene, L
    Francaviglia, M
    Mercadante, S
    [J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2005, 2 (05) : 993 - 1008
  • [6] Canonical Chern-Simons gravity
    Sarkar, Souvik
    Vaz, Cenalo
    [J]. PHYSICAL REVIEW D, 2017, 96 (02)
  • [7] Generalized Chern-Simons modified gravity in first-order formalism
    Ertem, Umit
    Acik, Ozgur
    [J]. GENERAL RELATIVITY AND GRAVITATION, 2013, 45 (02) : 477 - 488
  • [8] Critical gravity in the Chern-Simons modified gravity
    Moon, Taeyoon
    Myung, Yun Soo
    [J]. EUROPEAN PHYSICAL JOURNAL C, 2011, 71 (11): : 1 - 6
  • [9] Vacuum instability in Chern-Simons gravity
    Dyda, Sergei
    Flanagan, Eanna E.
    Kamionkowski, Marc
    [J]. PHYSICAL REVIEW D, 2012, 86 (12):
  • [10] Is quantum gravity a Chern-Simons theory?
    Bonezzi, R.
    Corradini, O.
    Waldron, A.
    [J]. PHYSICAL REVIEW D, 2014, 90 (08):