Tailoring three-point functions and integrability II. Weak/strong coupling match

2011/04/30 by Jorge Escobedo, Nikolay Gromov, Amit Sever +1 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Class (philosophy) #Classical limit #Coupling (piping) #Limit (mathematics) #Planar #Random Matrices and Applications #Spectral Theory in Mathematical Physics #TRACE (psycholinguistics) #hep-th #math-ph #math.MP

paper · pdf · doi:10.1007/jhep09(2011)029

36 pages. v2: figure added, references added

arxiv created 2011/05/05 · openalex publication_date 2011/09/01 · arxiv updated 2015/05/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We compute three-point functions of single trace operators in planar N=4 SYM. We consider the limit where one of the operators is much smaller than the other two. We find a precise match between weak and strong coupling in the Frolov-Tseytlin classical limit for a very general class of classical solutions. To achieve this match we clarify the issue of back-reaction and identify precisely which three-point functions are captured by a classical computation.

Citations

• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• 1/J2corrections to BMN energies from the quantum long range Landau-Lifshitz model
• Quasilocality of joining/splitting strings from coherent states
• Algebraic Curve for the SO(6) Sector of AdS/CFT
• Bloch Walls and Macroscopic String States in Bethe's Solution of the Heisenberg Ferromagnetic Linear Chain
• 𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals

Cited by

• Extremal correlator of three vertex operators for circular winding strings in AdS 5 × S 5
• Quantum Integrability for Three-Point Functions of Maximally Supersymmetric Yang-Mills Theory
• Worldsheet form factors in AdS/CFT