Comments on the Mirror TBA

Abstract

We discuss various aspects of excited state TBA equations describing the energy spectrum of the AdS_5 \times S^5 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 psu(2,2|4) invariance is built in into the TBA construction.

28 pages, 1 figure, v2: misprints are corrected

References in corpus (13)

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• String hypothesis for the AdS_5 x S^5 mirror
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• Konishi operator at intermediate coupling
• Simplified TBA equations of the AdS_5 x S^5 mirror model
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Cited by in corpus (18)

• Towards integrability for AdS3/CFT2
• Towards the quantum S-matrix of the Pohlmeyer reduced version of AdS_5 x S^5 superstring theory
• Integrability of the AdS_5 x S^5 superstring and its deformations
• TBA, NLO Luscher correction, and double wrapping in twisted AdS/CFT
• The Quantum Deformed Mirror TBA I
• The spectral problem for strings on twisted AdS_5 x S^5
• The Quantum Deformed Mirror TBA II
• Yangians, S-matrices and AdS/CFT
• $Ad{S}_5\times S^5$ mirror TBA equations from Y-system and discontinuity relations
• Scaling dimensions from the mirror TBA
• Exceptional Operators in N=4 super Yang-Mills
• Y-system for Y=0 brane in planar AdS/CFT
• Lifting asymptotic degeneracies with the Mirror TBA
• Bound States in the Mirror TBA
• Y-system for Z_S Orbifolds of N=4 SYM
• Orbifolded Konishi from the Mirror TBA
• Large spin expansion of the wrapping correction to Freyhult-Rej-Zieme twist operators
• 12 loops and triple wrapping in ABJM theory from integrability