Higher Chern-Simons based on (2-)crossed modules

被引:0
|
作者
Danhua Song
Mengyao Wu
Ke Wu
Jie Yang
机构
[1] Capital Normal University,School of Mathematical Sciences
关键词
Higher Gauge Theories; Chern-Simons Theories; Gauge Symmetry; Topological Field Theories;
D O I
暂无
中图分类号
学科分类号
摘要
We present higher Chern-Simons theories based on (2-)crossed modules. We start from the generalized differential forms in Generalized Differential Calculus and define the corresponding generalized connections which consist of higher connections. Then we establish the generalized Chern-Simons forms to get the higher Chern-Simons actions. Finally, we develop the higher second Chern forms and Chern-Weil theorems.
引用
收藏
相关论文
共 50 条
  • [21] The matrix Chern-Simons one-form as a Universal Chern-Simons theory
    Nair, V. P.
    [J]. NUCLEAR PHYSICS B, 2006, 750 (03) : 289 - 320
  • [22] Fermionic matter coupled to higher derivative Chern-Simons theories .2.
    Foussats, A
    Manavella, E
    Repetto, C
    Zandron, OP
    Zandron, OS
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (01) : 84 - 99
  • [23] Higher-spin Chern-Simons theories in odd dimensions
    Engquist, Johan
    Hohm, Olaf
    [J]. NUCLEAR PHYSICS B, 2007, 786 (1-2) : 1 - 25
  • [24] Chern-Simons coefficient in supersymmetric non-Abelian Chern-Simons Higgs theories
    Kao, HC
    [J]. PHYSICAL REVIEW D, 1999, 60 (06):
  • [25] Supersymmetry of classical solutions in Chern-Simons higher spin supergravity
    Datta, Shouvik
    David, Justin R.
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2013, (01):
  • [26] Supersymmetry of classical solutions in Chern-Simons higher spin supergravity
    Shouvik Datta
    Justin R. David
    [J]. Journal of High Energy Physics, 2013
  • [27] Chern-Simons diffusion rate from higher curvature gravity
    Jahnke, Viktor
    Misobuchi, Anderson Seigo
    Trancanelli, Diego
    [J]. PHYSICAL REVIEW D, 2014, 89 (10):
  • [28] BTZ black hole with Chern-Simons and higher derivative terms
    Sahoo, Bindusar
    Sen, Ashoke
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2006, (07):
  • [29] Covariant Noether charge for higher dimensional Chern-Simons terms
    Azeyanagi, Tatsuo
    Loganayagam, R.
    Ng, Gim Seng
    Rodriguez, Maria J.
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2015, (05):
  • [30] Lagrangian and Hamiltonian formulations of higher order Chern-Simons theories
    Kumar, S
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2003, 18 (09): : 1613 - 1622