Correlation Functions of Winding Strings in AdS 3

We review certain results for amplitudes of spectral flowed operators in string theory on AdS3. We present the modified Knizhnik-Zamolodchikov and null vector equations to be satisfied by correlators including w = 1 operators. We then discuss the three point function of two w = 1 and one w = 0 opera...

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Publicado: 2008
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0094243X_v1031_n_p138_Minces
http://hdl.handle.net/20.500.12110/paper_0094243X_v1031_n_p138_Minces
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spelling paper:paper_0094243X_v1031_n_p138_Minces2023-06-08T15:09:03Z Correlation Functions of Winding Strings in AdS 3 AdS/CFT Correspondence String Theory We review certain results for amplitudes of spectral flowed operators in string theory on AdS3. We present the modified Knizhnik-Zamolodchikov and null vector equations to be satisfied by correlators including w = 1 operators. We then discuss the three point function of two w = 1 and one w = 0 operators in the x-basis, and perform a consistency check on the definition of the w = 1 operator. We finally exhibit the steps in the calculation of the winding conserving four point functions for operators in arbitrary spectral flowed sectors, both in the m- and x-basis, under the only assumption that at least one of the operators is in the spectral flowed image of the highest weight discrete representation. © 2008 American Institute of Physics. 2008 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0094243X_v1031_n_p138_Minces http://hdl.handle.net/20.500.12110/paper_0094243X_v1031_n_p138_Minces
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic AdS/CFT Correspondence
String Theory
spellingShingle AdS/CFT Correspondence
String Theory
Correlation Functions of Winding Strings in AdS 3
topic_facet AdS/CFT Correspondence
String Theory
description We review certain results for amplitudes of spectral flowed operators in string theory on AdS3. We present the modified Knizhnik-Zamolodchikov and null vector equations to be satisfied by correlators including w = 1 operators. We then discuss the three point function of two w = 1 and one w = 0 operators in the x-basis, and perform a consistency check on the definition of the w = 1 operator. We finally exhibit the steps in the calculation of the winding conserving four point functions for operators in arbitrary spectral flowed sectors, both in the m- and x-basis, under the only assumption that at least one of the operators is in the spectral flowed image of the highest weight discrete representation. © 2008 American Institute of Physics.
title Correlation Functions of Winding Strings in AdS 3
title_short Correlation Functions of Winding Strings in AdS 3
title_full Correlation Functions of Winding Strings in AdS 3
title_fullStr Correlation Functions of Winding Strings in AdS 3
title_full_unstemmed Correlation Functions of Winding Strings in AdS 3
title_sort correlation functions of winding strings in ads 3
publishDate 2008
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0094243X_v1031_n_p138_Minces
http://hdl.handle.net/20.500.12110/paper_0094243X_v1031_n_p138_Minces
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