Extensions of the Duflo map and Chern-Simons expectation values

Sahlmann H, Zilker T (2017)


Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2017

Journal

Book Volume: 121

Pages Range: 297 - 308

DOI: 10.1016/j.geomphys.2017.07.022

Abstract

The Duflo map is a valuable tool for operator ordering in contexts in which Kirillov-Kostant brackets and their quantizations play a role. A priori, the Duflo map is only defined on the subspace of the symmetric algebra over a Lie algebra consisting of elements invariant under the adjoint action. Here we discuss extensions to the whole symmetric algebra, as well as their application to the calculation of Chern-Simons theory expectation values.

Authors with CRIS profile

How to cite

APA:

Sahlmann, H., & Zilker, T. (2017). Extensions of the Duflo map and Chern-Simons expectation values. Journal of Geometry and Physics, 121, 297 - 308. https://dx.doi.org/10.1016/j.geomphys.2017.07.022

MLA:

Sahlmann, Hanno, and Thomas Zilker. "Extensions of the Duflo map and Chern-Simons expectation values." Journal of Geometry and Physics 121 (2017): 297 - 308.

BibTeX: Download