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Matching quantum strings to quantum spins: one-loop vs. finite-size corrections

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arxiv hep-th/0502173 v3 pith:LYD265WJ submitted 2005-02-21 hep-th cond-mat.stat-mech

Matching quantum strings to quantum spins: one-loop vs. finite-size corrections

classification hep-th cond-mat.stat-mech
keywords quantumansatzbethecorrectionslandau-lifshitzmodelone-loopstrings
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We compare quantum corrections to semiclassical spinning strings in AdS(5)xS(5) to one-loop anomalous dimensions in N=4 supersymmetric gauge theory. The latter are computed using the reduced (Landau-Lifshitz) sigma model and with the help of the Bethe ansatz. The results of all three approaches are in remarkable agreement with each other. As a byproduct we establish the relationship between linear instabilities in the Landau-Lifshitz model and analyticity properties of the Bethe ansatz.

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  1. On quantum corrections to semiclassical strings on $\mathrm{AdS}_5\times S^5/\mathbb{Z}_{L}$ orbifold backgrounds

    hep-th 2026-07 conditional novelty 5.0

    On an orbifold AdS5×S5/ZL background, one-loop string energies for three semiclassical solutions match finite-size twisted Bethe-ansatz and Landau-Lifshitz predictions, with novel stable fractional-winding sectors.