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- W2127703025 abstract "Martingales often play an important role in computations with Schramm–Loewner Evolutions (SLEs). The purpose of this article is to provide a straightforward approach to the Virasoro module structure of the space of local martingales for variants of SLEs. In the case of ordinary chordal SLE, it has been shown in Bauer and Bernard's Phys. Lett. B557 that polynomial local martingales form a Virasoro module. We will show for more general variants that the module of local martingales has a natural submodule [Formula: see text] that has the same interpretation as the module of polynomial local martingales of chordal SLE, but it is in many cases easy to find more local martingales than that. We discuss the surprisingly rich structure of the Virasoro module [Formula: see text] and construction of the SLE state or martingale generating function by Coulomb gas formalism. In addition, Coulomb gas or Feigin–Fuchs integrals will be shown to transparently produce candidates for multiple SLE pure geometries." @default.
- W2127703025 created "2016-06-24" @default.
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- W2127703025 date "2007-06-01" @default.
- W2127703025 modified "2023-09-25" @default.
- W2127703025 title "VIRASORO MODULE STRUCTURE OF LOCAL MARTINGALES OF SLE VARIANTS" @default.
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- W2127703025 doi "https://doi.org/10.1142/s0129055x07003000" @default.
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