SQG2 - Loop Quantum Gravity, Quantum Geometry, Spin Foams |
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Speaker |
Sahlmann, Hanno |
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Talk Title |
Chern-Simons theory, Stokes' Theorem, and generalized connections |
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Abstract |
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) |
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