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Beauty and the Twist: The Bethe Ansatz for Twisted N=4 SYM

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arxiv hep-th/0505187 v3 pith:CWVD6M32 submitted 2005-05-21 hep-th

classification hep-th
keywords bethetheoryansatzgaugetwistedalgebraappearsbeauty
verification ladder T0 review T1 audit T2 compute T3 formal
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It was recently shown that the string theory duals of certain deformations of the N=4 gauge theory can be obtained by a combination of T-duality transformations and coordinate shifts. Here we work out the corresponding procedure of twisting the dual integrable spin chain and its Bethe ansatz. We derive the Bethe equations for the complete twisted N=4 gauge theory at one and higher loops. These have a natural generalization which we identify as twists involving the Cartan generators of the conformal algebra. The underlying model appears to be a form of noncommutative deformation of N=4 SYM.

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Cited by 4 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. Integrable systems: From the ice rule to supersymmetric fishnet Feynman diagrams

    hep-th 2025-09 conditional novelty 7.0 of 10

    A dissertation extends the integrability correspondence between lattice models and fishnet Feynman graphs to fermionic, supersymmetric, and boundary cases, yielding new exact critical couplings and a conjectured box p...

  3. Controlled Chaos in 4D SCFTs

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Orbifolds of N=4 SYM produce SCFTs whose dilatation operator in a subsector is realized by a tunable spin chain whose eigenvalue statistics exhibit chaos for specific marginal couplings.

  4. Probing weak chaos in $\mathcal N=4$ super Yang-Mills and long-range spin chains

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Finite-loop truncations of the planar dilatation operator in N=4 SYM exhibit GOE-like level statistics at large coupling for two- and four-loops (but not three), with eigenvector and Krylov diagnostics indicating weak...

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