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Extended Y-system for the $AdS_5/CFT_4$ correspondence

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arxiv 1005.3016 v3 pith:QAIOJ7HO submitted 2010-05-17 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords y-systemextendedacrossadditionalanalyticcauchycomplexconstitutes
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abstract

We study the analytic properties of the $AdS_5/CFT_4$ 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.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Deriving the $\text{AdS}_3\times\text{S}^3\times \text{T}^4$ Quantum Spectral Curve I: Y-system and discontinuity relations

    hep-th 2026-07 conditional novelty 6.0 of 10

    The pure-RR AdS3×S3×T4 mirror TBA is reformulated as an extended Y-system with local discontinuity relations, and the TBA is recovered by inversion, establishing their equivalence.

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