Timelike Liouville three-point function

In a recent paper, Harlow, Maltz, and Witten showed that a particular proposal for the timelike Liouville three-point function, originally due to Zamolodchikov and to Kostov and Petkova, can actually be computed by the original Liouville path integral evaluated on a new integration cycle. Here, we d...

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Autor principal: Giribet, Gastón Enrique
Publicado: 2012
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v85_n8_p_Giribet
http://hdl.handle.net/20.500.12110/paper_15507998_v85_n8_p_Giribet
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spelling paper:paper_15507998_v85_n8_p_Giribet2023-06-08T16:22:29Z Timelike Liouville three-point function Giribet, Gastón Enrique In a recent paper, Harlow, Maltz, and Witten showed that a particular proposal for the timelike Liouville three-point function, originally due to Zamolodchikov and to Kostov and Petkova, can actually be computed by the original Liouville path integral evaluated on a new integration cycle. Here, we discuss a Coulomb gas computation of the timelike three-point function and show that an analytic extension of the Selberg-type integral formulas involved reproduces the same expression, including the adequate normalization. A notable difference with the spacelike calculation is pointed out. © 2012 American Physical Society. Fil:Giribet, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2012 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v85_n8_p_Giribet http://hdl.handle.net/20.500.12110/paper_15507998_v85_n8_p_Giribet
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description In a recent paper, Harlow, Maltz, and Witten showed that a particular proposal for the timelike Liouville three-point function, originally due to Zamolodchikov and to Kostov and Petkova, can actually be computed by the original Liouville path integral evaluated on a new integration cycle. Here, we discuss a Coulomb gas computation of the timelike three-point function and show that an analytic extension of the Selberg-type integral formulas involved reproduces the same expression, including the adequate normalization. A notable difference with the spacelike calculation is pointed out. © 2012 American Physical Society.
author Giribet, Gastón Enrique
spellingShingle Giribet, Gastón Enrique
Timelike Liouville three-point function
author_facet Giribet, Gastón Enrique
author_sort Giribet, Gastón Enrique
title Timelike Liouville three-point function
title_short Timelike Liouville three-point function
title_full Timelike Liouville three-point function
title_fullStr Timelike Liouville three-point function
title_full_unstemmed Timelike Liouville three-point function
title_sort timelike liouville three-point function
publishDate 2012
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v85_n8_p_Giribet
http://hdl.handle.net/20.500.12110/paper_15507998_v85_n8_p_Giribet
work_keys_str_mv AT giribetgastonenrique timelikeliouvillethreepointfunction
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