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arXiv · 2205.06994

The continuation method and the real analyticity of the accessory parameters: the parabolic case

Pietro Menotti
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Abstract

We give the proof of the real analyticity of the accessory parameters in Liouville field theory as a function of the position of the sources in the case in which in addition to elliptic sources, parabolic sources are present. The method is a non trivial extension of the elliptic case as it requires in an intermediate step the introduction of a regulator. The treatment holds also in the case of the torus. A discussion is given of the extension to higher genus surfaces.

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Pietro Menotti. 2022-05-14. The continuation method and the real analyticity of the accessory parameters: the parabolic case. https://doi.org/10.1088/1751-8121%2Fac9ff8

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