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

Grabner David; Gromov Nikolay; Kazakov Vladimir; Korchemsky Gregory

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

机译：强y变形N = 4超对称Yang-Mills理论作为可积共形场理论

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We demonstrate by explicit multiloop calculation that gamma-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 gamma-deformed planar N = 4 SYM theory for arbitrary values of the deformation parameters.

机译：通过显式多环计算，我们证明了伽马变形的平面N = 4超对称Yang-Mills（SYM）理论，并辅以一组双迹反项，在最近提出的双标度极限中具有两个非平凡的不动点，结合了消失霍夫特耦合和大的虚构变形参数。我们提供的证据表明，在固定点上，该理论由可整合的非unit元四维共形场理论描述。我们找到了最简单的受保护算子的四点相关函数的封闭表达式，并用它来计算任意洛伦兹自旋算子的精确保形数据。我们推测，对于任意变形参数值，共形对称性和可积性都应在伽玛变形的平面N = 4 SYM理论中得以生存。

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来源
《Physical review letters》 |2018年第11期|111601.1-111601.6|共6页
作者
Grabner David; Gromov Nikolay; Kazakov Vladimir; Korchemsky Gregory;
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Kings Coll London, Math Dept, London WC2R 2LS, England;

Kings Coll London, Math Dept, London WC2R 2LS, England;

Ecole Normale Super, Lab Phys Theor, 24 Rue Lhomond, F-75231 Paris 05, France;

CEA Saclay, Inst Phys Theor, F-91191 Gif Sur Yvette, France;

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2. New Integrable 4D Quantum Field Theories from Strongly Deformed Planar N=4 Supersymmetric Yang-Mills Theory [J] . Gurdogan Omer, Kazakov Vladimir Physical review letters . 2016,第20期

机译：强变形平面N = 4超对称Yang-Mills理论的新可积4D量子场论
3. Perturbation Theory at Eight Loops: Novel Structures and the Breakdown of Manifest Conformality in N=4 Supersymmetric Yang-Mills Theory [J] . Bourjaily Jacob L., Heslop Paul, Vuong-Viet Tran Physical review letters . 2016,第19期

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5. Supersymmetric Yang-Mills theories on the lattice. [D] . Joseph, Anosh. 2011

机译：格上的超对称Yang-Mills理论。
6. From the representation theory of vertex operator algebras to modular tensor categories in conformal field theory [O] . James Lepowsky 2005

机译：从顶点算子代数的表示理论到共形场论中的模量张量类别
7. Perturbation theory at eight loops : novel structures and the breakdown of manifest conformality in N=4 supersymmetric Yang-Mills theory. [O] . Bourjaily Jacob L., Heslop Paul, Tran Vuong-Viet 2016

机译：八个循环的摄动理论：N = 4超对称Yang-Mills理论中的新颖结构和明显的共形性崩溃。

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

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