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Bethe Ansatz in Stringy Sigma Models

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arxiv hep-th/0603039 v1 pith:LIGJ4KY2 submitted 2006-03-06 hep-th

classification hep-th
keywords modelsigma-modelansatzbethestringalday-arutyunov-frolovarisecompute
verification ladder T0 review T1 audit T2 compute T3 formal

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We compute the exact S-matrix and give the Bethe ansatz solution for three sigma-models which arise as subsectors of string theory in AdS(5)xS(5): Landau-Lifshitz model (non-relativistic sigma-model on S(2)), Alday-Arutyunov-Frolov model (fermionic sigma-model with su(1|1) symmetry), and Faddeev-Reshetikhin model (string sigma-model on S(3)xR).

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Cited by 3 Pith papers

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  1. Revisiting Schr\"odinger CFTs: Factorization, Massless Particles, and a Path to the Bootstrap

    hep-th 2025-10 conditional novelty 7.0 of 10

    Schrödinger CFTs are reformulated via a harmonic-trap thermofield double, giving a state-operator correspondence for all operators and a factorization proof of non-renormalization.

  2. Finite scalar field theory with SU(1,1) spacetime symmetry from near-BPS limits of $\mathcal{N}=4$ SYM

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    A non-Lorentzian scalar QFT with SU(1,1) symmetry obtained from N=4 SYM is finite at all orders in perturbation theory.

  3. An integrable deformed Landau-Lifshitz model with particle production?

    hep-th 2025-06 conditional novelty 6.0 of 10

    The Class 5 spin chain's continuum limit is a non-unitary deformed Landau-Lifshitz model with a conserved-charge tower and a soft 1-to-2 S-matrix.

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