TY - JOUR

T1 - Strongly γ -Deformed N=4 Supersymmetric Yang-Mills Theory as an Integrable Conformal Field Theory

AU - Grabner, David

AU - Gromov, Nikolay

AU - Kazakov, Vladimir

AU - Korchemsky, Gregory

PY - 2018/3

Y1 - 2018/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85044310356&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.120.111601

DO - 10.1103/PhysRevLett.120.111601

M3 - Article

AN - SCOPUS:85044310356

SN - 0031-9007

VL - 120

JO - Physical Review Letters

JF - Physical Review Letters

IS - 11-16

M1 - 111601

ER -