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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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 |
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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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1768541815856693248 |