25 citations · 64 across the 5 of their papers we have counts for
5 papers
Renormalised Chern-Weil forms associated with families of Dirac operators
Jouko Mickelsson, Sylvie Paycha
We provide local expressions for Chern-Weil type forms built from superconnections associated with families of Dirac operators previously investigated in work by S. Scott and later…
Families index theorem in supersymmetric WZW model and twisted K-theory: The SU(2) case
Jouko Mickelsson, Juha-Pekka Pellonpää
The construction of twisted K-theory classes on a compact Lie group is reviewed using the supersymmetric Wess-Zumino-Witten model on a cylinder. The Quillen superconnection is intr…
Families index theorem in supersymmetric WZW model and twisted K-theory
Jouko Mickelsson
The construction of twisted K-theory classes on a compact Lie group is reviewed using the supersymmetric Wess-Zumino-Witten model on a cylinder. The Quillen superconnection is intr…
Scattering matrix in external field problems
E. Langmann, J. Mickelsson
We discuss several aspects of second quantized scattering operators for fermions in external time dependent fields. We derive our results on a general, abstract level havi…
(3+1)-Dimensional Schwinger Terms and Non-commutative Geometry
Edwin Langmann, Jouko Mickelsson
We discuss 2-cocycles of the Lie algebra $\Map(M^3;\g)$ of smooth, compactly supported maps on 3-dimensional manifolds with values in a compact, semi-simple Lie algebra $\g$.…