MG12 - Talk detail |
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Participant |
Sahlmann, Hanno | |
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Institution |
Institute for Theoretical Physics, University of Karlsruhe - Wolfgang-Gaede-Str. 1 - Karlsruhe - - Germany | |
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Session |
Talk |
Abstract |
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SQG2 |
Chern-Simons theory, Stokes' Theorem, and generalized connections |
We show how to the expectation values of holonomies in U(1) Chern-Simons theory using Stokes' Theorem, flux operators, and generalized connections. A framing of the holonomy loops arises in our construction, and we show how, by choosing natural framings, the resulting expectation values nevertheless define a functional over gauge invariant cylindrical functions. We also comment on generalizations to non-abelian Chern-Simons theory. (Work in collaboration with T. Thiemann) |