Extremal correlator of three vertex operators for circular winding strings in AdS 5 × S 5

2011/09/15 by Shijong Ryang · 9 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Combinatorics #Conformal map #Geometry #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Operator (biology) #Physics #Point (geometry) #Quantum Chromodynamics and Particle Interactions #Spins #String (physics) #Vertex (graph theory) #Winding number #hep-th

paper · pdf · doi:10.1007/jhep11(2011)026

published in Journal of High Energy Physics 2011(11) (Springer Nature) · 15pages,LaTeX,no figures

arxiv created 2011/09/15 · openalex publication_date 2011/11/01 · arxiv updated 2015/05/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study a three-point correlator of the three heavy vertex operators representing the circular winding string states which are point-like in AdS₅ and rotating with two spins and two winding numbers in S⁵. We restrict ourselves to the case that two of the three vertex operators are located at the same point. We evaluate semiclassically the specific three-point correlator on a stationary splitting string trajectory which is mapped to the complex plane with three punctures. It becomes an extremal and 4d conformal invariant three-point correlator on the boundary. The marginality condition of the vertex operator is discussed.

Citations

• Quasilocality of joining/splitting strings from coherent states
• Holography of Wilson-loop expectation values with local operator insertions
• Holographic correlation functions for open strings and branes
• Search for the most stable massive state in superstring theory
• Holography of Two-point Functions in the Spinning String/Spin Chain Correspondence
• Tailoring three-point functions and integrability II. Weak/strong coupling match