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A Chern-Simons action for noncommutative spaces
Chern-Simons action noncommutative spaces Operator Algebras
2012/4/18
Witten constructed a topological quantum field theory with the Chern-Simons action as Lagrangian. We define a proper noncommutative generalization of the Chern-Simons action. "Proper", in this context...
Spectral action for scalar perturbations of Dirac operators
spectral geometry noncommutative geometry
2011/2/22
We investigate the leading terms of the spectral action for odd-dimensional Riemannian spin manifolds with the Dirac operator perturbed by a scalar function.
On equivalence of the Komargodski-Seiberg action to the Volkov-Akulov action
equivalence Komargodski-Seiberg action Volkov-Akulov action
2010/12/15
Equivalence between the Komargodski-Seiberg and the Volkov-Akulov supersymmetric nonlinear Lagrangians of the Nambu-Goldstone fermions is proved in all orders in their interaction constant. Exact expr...