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arXiv · 2411.16051

Radial BPZ equations and partition functions of FK-Ising interfaces conditional on one-arm event

Yu Feng·Hao Wu
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Abstract

Radial BPZ equations come naturally when one solves Dub\'{e}dat's commutation relation in the radial setting. We construct positive solutions to radial BPZ equations and show that partition functions of FK-Ising interfaces in a polygon conditional on a one-arm event are positive solutions to radial BPZ equations.

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Yu Feng, Hao Wu. 2024-11-25. Radial BPZ equations and partition functions of FK-Ising interfaces conditional on one-arm event. https://arxiv.org/abs/2411.16051

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