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Integrability of the AdS_5 x S^5 superstring and its deformations

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arxiv 1310.4854 v3 pith:7HVDHQBW submitted 2013-10-17 hep-th

classification hep-th
keywords ansatzbethedeformationsdescriptiontheorythermodynamicdiscussintegrability
verification ladder T0 review T1 audit T2 compute T3 formal
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This article reviews the application of integrability to the spectral problem of strings on AdS_5 x S^5 and its deformations. We begin with a pedagogical introduction to integrable field theories culminating in the description of their finite-volume spectra through the thermodynamic Bethe ansatz. Next, we apply these ideas to the AdS_5 x S^5 string and in later chapters discuss how to account for particular integrable deformations. Through the AdS/CFT correspondence this gives an exact description of anomalous scaling dimensions of single trace operators in planar N=4 supersymmetry Yang-Mills theory, its `orbifolds', and beta and gamma-deformed supersymmetric Yang-Mills theory. We also touch upon some subtleties arising in these deformed theories. Furthermore, we consider complex excited states (bound states) in the su(2) sector and give their thermodynamic Bethe ansatz description. Finally we discuss the thermodynamic Bethe ansatz for a quantum deformation of the AdS_5 x S^5 superstring S-matrix, with close relations to among others Pohlmeyer reduced string theory, and briefly indicate more recent developments in this area.

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Cited by 2 Pith papers

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

  1. A new perspective on non-commutative deformations of field and gauge theories

    hep-th 2026-08 conditional novelty 7.0 of 10

    Star products built from active symmetry transformations give gauge-invariant non-commutative theories under a weakened unimodularity condition, with a planar equivalence theorem keeping internal Feynman structure undeformed.

  2. Thermodynamics of integrable N=2 theories, squared

    hep-th 2025-02 conditional novelty 6.0 of 10

    The FPS model's massive sector has UV central charge c=6(1-1/k), its massless sectors contribute c=N_0+2, so doubling the supersymmetry does not double the central charge.

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