Brownian surfaces with boundary and Deligne cohomology |
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Authors: | Ré mi Lé andre |
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Affiliation: | Institut Elie Cartan, Université de Nancy I, 54000 Vandoeuvre-les-Nancy, France |
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Abstract: | We define differentiable random surfaces, which realize a kind of generalized parallel transport for line bundles over the loop space. This gives a realization of one of the axioms of Segal of conformal field theory. |
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Keywords: | Brownian motion Deligne cohomology |
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