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
functorial quantum field theory
Reshetikhin?Turaev model? / Chern-Simons theory
FQFT and cohomology
physics, mathematical physics, philosophy of physics
theory (physics), model (physics)
experiment, measurement, computable physics
Axiomatizations
Tools
Structural phenomena
Types of quantum field thories
Every symplectic Lie n-algebroid carries a specified invariant polynomial . The action functional induced by the corresponding Chern-Simons element in ∞-Chern-Simons theory defined the corresponding AKSZ theory sigma model.
For a Courant algebroid this is called the Courant -model .
Courant sigma-model
∞-Chern-Simons theory from binary and non-degenerate invariant polynomial
(adapted from Ševera 00)
The action functional was first deduced in
As an example of an AKSZ sigma-model it was later re-derived in
Further discussion is in
The interpretation in terms of infinity-Chern-Weil theory is discussed in
Relations to generalized complex geometry is discussed in
Last revised on February 8, 2013 at 02:09:04. See the history of this page for a list of all contributions to it.