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Comments on the mirror TBA

2011/03/31 by Gleb Arutyunov, Sergey Frolov · 2 citations
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Excited state #Geometry #Mathematical physics #Mathematics #Multiplet #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scaling #Spectral line #Spectrum (functional analysis) #State (computer science) #String (physics) #Theoretical physics #hep-th

paper · pdf · doi:10.1007/jhep05(2011)082

28 pages, 1 figure, v2: misprints are corrected

openalex publication_date 2011/05/01 · arxiv created 2011/08/31 · arxiv updated 2015/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We discuss various aspects of excited state TBA equations describing the energy spectrum of the AdS5 × S5 strings and, via the AdS/CFT correspondence, the spectrum of scaling dimensions of N = 4 SYM local operators. We observe that auxiliary roots which are used to partially enumerate solutions of the Bethe-Yang equations do not play any role in engineering excited state TBA equations via the contour deformation trick. We further argue that the TBA equations are in fact written not for a particular string state but for the whole superconformal multiplet, and, therefore, the \mathfrakp\mathfraks\mathfraku( 2,2| 4 . ) invariance is built in into the TBA construction.

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