Winding modes and the reflection symmetry in AdS3

We compute the contact term of the two-point function for the SL (2, ℝ)- WZNW model in the winding sector. After reviewing some generalities of the model and its Euclidean counterpart, we discuss the reflection symmetry for the spectral flowed sector. We define the corresponding intertwining operato...

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Bibliographic Details
Authors: Iguri, Sergio Manuel, Kovensky, Nicolas, Maestri, Leila, Martín, Lucas Emilio
Format: article
Status:Published version
Publication Date:2020
Country:Argentina
Institution:Consejo Nacional de Investigaciones Científicas y Técnicas
Repository:CONICET Digital (CONICET)
Language:English
OAI Identifier:oai:ri.conicet.gov.ar:11336/211464
Online Access:http://hdl.handle.net/11336/211464
Access Level:Open access
Keyword:ADS-CFT CORRESPONDENCE
CONFORMAL AND W SYMMETRY
CONFORMAL FIELD MODELS IN STRING THEORY
LONG STRINGS
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
Description
Summary:We compute the contact term of the two-point function for the SL (2, ℝ)- WZNW model in the winding sector. After reviewing some generalities of the model and its Euclidean counterpart, we discuss the reflection symmetry for the spectral flowed sector. We define the corresponding intertwining operator and use it to find the explicit form of the contact term of the propagator for a vertex carrying an arbitrary amount of spectral flow. Finally, we enhance the already known integral expression of a singly flowed vertex in order to reproduce such contact term directly in the space-time picture.