Associators for AdS string amplitude building blocks

2025/05/29 by Konstantin Baune, Baune, Konstantin · 3 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2505.23385

openalex publication_date 2025/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that building blocks for open- and closed-string amplitudes on AdS are generated by the Drinfeld and Deligne associator, respectively. Our formalism lifts the known associator recursions for flat-space string amplitudes to the AdS picture. This delivers another proof that the AdS building blocks admit low-energy expansions with (single-valued) multiple zeta values as coefficients and provides all-order relations for the integral expressions.

Citations

• Deriving motivic coactions and single-valued maps at genus zero from zeta generators
• The Kaluza-Klein AdS Virasoro-Shapiro Amplitude near Flat Space
• Closed-string amplitude recursions from the Deligne associator
• The type IIA Virasoro-Shapiro amplitude in AdS₄ × CP³ from ABJM theory
• On the AdS₃ Virasoro-Shapiro Amplitude
• On the Regge behaviour of the AdS Virasoro-Shapiro Amplitude
• Single-valuedness of the AdS Veneziano amplitude
• The AdS Veneziano amplitude at small curvature
• One-loop Double Copy Relation from Twisted (Co)homology
• Motivic coaction and single-valued map of polylogarithms from zeta generators
• One-loop Double Copy Relation in String Theory
• Emergent world-sheet for the AdS Virasoro-Shapiro amplitude
• A Relation between One-Loop Amplitudes of Closed and Open Strings (One-Loop KLT Relation)

Cited by

• Twisted de Rham theory for string double copy in AdS
• A construction of single-valued elliptic polylogarithms
• Bootstrap AdS Veneziano Amplitude with Arbitrary Kaluza-Klein Modes

Related

• Stringy KLT Relations on AdS
• Closed-string amplitude recursions from the Deligne associator
• Building blocks of closed and open string amplitudes
• Monodromy Relations for String Amplitudes on AdS
• Genus-one open string amplitudes on AdS₅×S³ from CFT