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
physics, mathematical physics, philosophy of physics
theory (physics), model (physics)
experiment, measurement, computable physics
Axiomatizations
Tools
Structural phenomena
Types of quantum field thories
The type of field theory called holomorphic Chern-Simons theory is a variant of Chern-Simons theory where instead of Lie algebra valued differential forms on a real odd-dimensional manifold the fields are holomorphic differential forms with values in a Lie algebra on a complex odd-dimensional complex manifold, the action functional otherwise having roughly the same structure as for standard Chern-Simons theory.
See e.g. (Khesin-Wendt 08, section III 3.3)
Holomorphic CS may be understood in terms of a nonabelian version of the beta-gamma system (Costello 07, section 5.3, Gwilliam, section 6.1.3).
Reviews include
Discussion in terms of factorization algebras of observables is in
Kevin Costello, section 5.3 of Renormalisation and the Batalin-Vilkovisky formalism (arXiv:0706.1533)
Owen Gwilliam, section 6.1.3 of Factorization algebras and free field theories PhD thesis (pdf)
Last revised on May 7, 2019 at 15:57:25. See the history of this page for a list of all contributions to it.