Extended Y-system for the AdS5/CFT4 correspondence

2010/05/31 by Andrea Cavaglià, Davide Fioravanti, Roberto Tateo
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cauchy distribution #Classification of discontinuities #Complex plane #Discontinuity (linguistics) #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Plane (geometry) #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Square (algebra) #hep-th #math-ph #math.MP

paper · pdf · doi:10.1016/j.nuclphysb.2010.09.015

published as Nucl.Phys.B843:302-343,2011 · LaTeX2e, 42 pages, 7 figures. v2: 45 pages, references and a new appendix included, typos corrected. v3: minor typos corrected, references added

openalex publication_date 2010/10/04 · arxiv created 2010/12/14 · arxiv updated 2015/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the analytic properties of the AdS₅/CFT₄ Y functions. It is shown that the TBA equations, including the dressing factor, can be obtained from the Y-system with some additional information on the square-root discontinuities across semi-infinite segments in the complex plane. The Y-system extended by the discontinuity relations constitutes a fundamental set of local functional constraints that can be easily transformed into integral form through Cauchy's theorem.

Citations

• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• The dressing factor and crossing equations
• Dynkin TBA's
• Anomalous dimension with wrapping at four loops in N=4 SYM
• A new supersymmetric index
• High energy QCD as a completely integrable model
• Quantum inverse problem method. I
• Classical/quantum integrability in non-compact sector of AdS/CFT
• Minimal solution of the AdS/CFT crossing equation
• Four loop twist two, BFKL, wrapping and strings
• Y-system, TBA and Quasi-Classical Strings in AdS 4 × CP3
• On the commuting charges for the highest dimension SU(2) operators in planar 𝒩 = 4 SYM
• Konishi operator at intermediate coupling
• TBA and Y-system for planar AdS4/CFT3
• A planar diagram theory for strong interactions
• Excited states in some simple perturbed conformal field theories
• TheAdS5×S5superstring worldsheetSmatrix and crossing symmetry
• SPECTRA IN CONFORMAL FIELD THEORIES FROM THE ROGERS DILOGARITHM
• Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models
• The large N limit of superconformal field theories and supergravity