On spectrally flowed local vertex operators in AdS3

• Autores: Iguri, Sergio Manuel; Kovensky, Nicolas
• Año de publicación: 2022
• Idioma: inglés
• Tipo de recurso: artículo
• Materia: String Theory; Spectral flow; Holography
• Institución: Consejo Nacional de Investigaciones Científicas y Técnicas

We provide a novel local definition for spectrally flowed vertex operators in the SL(2,R)WZW model, generalising the proposal of [1] for the singly-flowed case to all ω > 1. This allows us to establish the precise connection between the computation of correlators using the so-called spectral flow operator [1], and the methods introduced recently in [2] based on local Ward identities. We show that the auxiliary variable y used by the authors of [2] arises naturally from a point-splitting procedure in the space-time coordinate. The recursion relations satisfied by spectrally flowed correlators, which take the form of partial differential equations in y-space, then correspond to null-state conditions for generalised spectral flowed operators. We highlight the role of certain SL(2,R) discrete module isomorphisms in this context, and prove the validity of the conjecture put forward in [2] for y-space structure constants of three-point functions with arbitrary spectral flow charges.
Fil: Iguri, Sergio Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina. Universidad Abierta Interamericana; Argentina
Fil: Kovensky, Nicolas. Institut de Physique Théorique; Francia. Universite Paris-Saclay; . Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina