Abstract
We demonstrate by explicit multiloop calculation that γ-deformed planar N=4 supersymmetric Yang-Mills (SYM) theory, supplemented with a set of double-trace counterterms, 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 nonunitary four-dimensional conformal field theory. 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 γ-deformed planar N=4 SYM theory for arbitrary values of the deformation parameters.
Highlights
Introduction.—The most general theory which admits an AdS5 dual description in terms of a string σ-model [1,2] is believed to be γ-deformed N 1⁄4 4 supersymmetric YangMills (SYM theory) [3,4]
We demonstrate by explicit multiloop calculation that γ-deformed planar N 1⁄4 4 supersymmetric Yang-Mills (SYM) theory, supplemented with a set of double-trace counterterms, has two nontrivial fixed points in the recently proposed double scaling limit, combining vanishing ’t Hooft coupling and large imaginary deformation parameter
We conjecture that both conformal symmetry and integrability should survive in γ-deformed planar N 1⁄4 4 SYM theory for arbitrary values of the deformation parameters
Summary
Introduction.—The most general theory which admits an AdS5 dual description in terms of a string σ-model [1,2] is believed to be γ-deformed N 1⁄4 4 supersymmetric YangMills (SYM theory) [3,4]. In this Letter we confirm explicitly, in the double scaling (DS) limit introduced in [15], that γ-deformed planar N 1⁄4 4 SYM theory does have a conformal fixed point parameterized by g2 and the three deformation parameters γ1, γ2, γ3. We examine the two-point correlation functions of the operators trðφ1φ2Þ and trðφ1φ†2Þ in this theory and find that they are protected in the planar limit.
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