For semisimple Lie algebra targets
For discrete group targets
For discrete 2-group targets
For Lie 2-algebra targets
For targets extending the super Poincare Lie algebra
(such as the supergravity Lie 3-algebra, the supergravity Lie 6-algebra)
Chern-Simons-supergravity
for higher abelian targets
for symplectic Lie n-algebroid targets
for the -structure on the BRST complex of the closed string:
higher dimensional Chern-Simons theory
topological AdS7/CFT6-sector
theory (physics), model (physics)
Axiomatizations
Tools
Structural phenomena
Types of quantum field thories
higher dimensional Chern-Simons theory in dimension 5.
A general account of the structure is in
Remarks on applications in phenomemenological models are in
The relation to 5-dimensional supergravity is discussed in
A. Ceresole, A. Lerda, and P. van Nieuwenhuizen , Five-dimensional gravitational super Chern-Simons terms, Phys. Rev. D 34, 1744–1748 (1986)
Yuji Tachikawa, Five-dimensional Chern-Simons terms and Nekrasov’s instanton counting (arXiv:hep-th/0401184)