KPZ formula derived from Liouville heat kernel (Q2822144)
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scientific article; zbMATH DE number 6630159
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| English | KPZ formula derived from Liouville heat kernel |
scientific article; zbMATH DE number 6630159 |
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KPZ formula derived from Liouville heat kernel (English)
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27 September 2016
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KPZ formula
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Liouville quantum gravity
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Liouville Brownian motion
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Liouville heat kernel
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The Knizhnik-Polyakov-Zamolodchikov (KPZ) formula was originally introduced and studied in the context of the light-cone gauge, see [\textit{V. G. Knizhnik} et al., Modern Physics Lett. A 3, 819--826 (1988)]. Further, an advanced version of this formula was studied in the context of one-dimensional Mandelbrot cascades.NEWLINENEWLINE In the present paper, the KPZ formula is proved as a derivation of the heat kernel of Liouville.
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