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Strongly \gamma-deformed N=4 SYM as an integrable CFT

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arxiv 1711.04786 v3 pith:V7JZ7E7Z submitted 2017-11-13 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords gamma-deformedarbitraryconformaldeformationfixedintegrableoperatorsplanar
verification ladder T0 review T1 audit T2 compute T3 formal
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We demonstrate by explicit multi-loop calculation that \gamma-deformed planar N=4 SYM, supplemented with a set of double-trace counter-terms, has two nontrivial fixed points in the recently proposed double scaling limit, combining vanishing 't Hooft coupling and large imaginary deformation parameter. We provide evidence that, at the fixed points, the theory is described by an integrable non-unitary four-dimensional CFT. We find a closed expression for the four-point correlation function of the simplest protected operators and use it to compute the exact conformal data of operators with arbitrary Lorentz spin. We conjecture that both conformal symmetry and integrability should survive in \gamma-deformed planar N=4 SYM for arbitrary values of the deformation parameters.

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Cited by 4 Pith papers

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