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 \( \mathcal{N} = 4 \) 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 \( \mathfrak{p}\mathfrak{s}\mathfrak{u}\left( {2,2\left| 4 \right.} \right) \) invariance is built in into the TBA construction.
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ArXiv ePrint: 1103.2708
Correspondent fellow at Steklov Mathematical Institute, Moscow. (Gleb Arutyunov)
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Arutyunov, G., Frolov, S. Comments on the mirror TBA. J. High Energ. Phys. 2011, 82 (2011). https://doi.org/10.1007/JHEP05(2011)082
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DOI: https://doi.org/10.1007/JHEP05(2011)082