Global ETD Search
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Showing 1 to 5 of 5 for “"conformal blocks"”.
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Connections on conformal blocks
… of principal G-bundles on X using ideas from conformal field theory. We describe this category in terms of the action of infinitesimal Hecke functors on the category of quasi-coherent sheaves on Bung. This family of functors, parametrized by the Ran space of X, acts by averaging a …
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Interplay between FQH Ground States, Regular Graphs, Binary Invariants, and [formula] -Algebras
… FQH ground states that are essentially chiral conformal blocks in [formula] parafermionic theories. We design an easy-to-work-with ansatz for multi-parafermion operator product expansions. Putting the ansatz to use, we unravel several polynomial structures within the [formula] -algebras. (4) We …
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Hyperbolic String Field Theory
… higher-order vertices can be obtained via the conformal bootstrap of Liouville theory in terms of classical conformal blocks and the DOZZ formula. The four-string and tadpole vertices are constructed explicitly using the known expressions of the associated blocks. Our method suggests the …
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On Gaussian multiplicative chaos and conformal field theory
This thesis is concerned with conformally invariant stochastic processes in two dimensions and their applications to conformal field theory (CFT). The main probabilistic objects are the Gaussian free field (GFF) and the random geometries associated to it. Especially, we are interested in Gaussian …