Grabner David, Gromov Nikolay, Kazakov Vladimir, Korchemsky Gregory
Mathematics Department, King's College London, The Strand, London WC2R 2LS, United Kingdom.
St. Petersburg INP, Gatchina, 188 300 St. Petersburg, Russia.
Phys Rev Lett. 2018 Mar 16;120(11):111601. doi: 10.1103/PhysRevLett.120.111601.
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.
我们通过显式多圈计算表明，在最近提出的双标度极限下，补充了一组双迹抵消项的γ变形平面N = 4超对称杨-米尔斯（SYM）理论，在结合消失的't Hooft耦合和大的虚变形参数时，有两个非平凡的不动点。我们提供证据表明，在不动点处，该理论由一个可积的非幺正四维共形场论描述。我们找到了最简单的受保护算符的四点关联函数的封闭表达式，并利用它来计算具有任意洛伦兹自旋的算符的精确共形数据。我们推测，对于任意变形参数值，共形对称性和可积性在γ变形平面N = 4 SYM理论中都应得以保留。
