Constructs SLE(κ) partition functions as Coulomb gas integrals for κ∈(0,8), proves positivity and series properties, builds real-analytic pure partition functions, and relates both via meander matrix to define global non-simple multiple chordal SLE measures.
Standard modules, radicals, and the valenced Temperley-Lieb algebra
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abstract
This article concerns a generalization of the Temperley-Lieb algebra, important in applications to conformal field theory. We call this algebra the valenced Temperley-Lieb algebra. We prove salient facts concerning this algebra and its representation theory, which are both of independent interest and used in our subsequent work, where we uniquely and explicitly characterize the monodromy invariant correlation functions of certain conformal field theories.
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Multiple SLEs for $\kappa\in (0,8)$: Coulomb gas integrals and pure partition functions
Constructs SLE(κ) partition functions as Coulomb gas integrals for κ∈(0,8), proves positivity and series properties, builds real-analytic pure partition functions, and relates both via meander matrix to define global non-simple multiple chordal SLE measures.