论文标题
探索伽马形成n = 4 sym的基态频谱
Exploring the ground state spectrum of gamma-deformed N=4 SYM
论文作者
论文摘要
我们研究了平面n = 4超级阳性理论的伽马信息，该理论破坏了所有超对称性，但有望保留模型的可集成性。我们专注于从两个标量构建的运算符TR $（ϕ_1DAICTAR）$，由于双跟踪反应的贡献，其集成性描述在质疑之前已在质疑之前受到质疑。我们表明，尽管有这些微妙的效果，但基于集成性的量子光谱曲线（QSC）框架非常适合该状态，特别是重现已知的1循环预测。这解决了有关该操作员的较早争议，并提供了进一步的证据，表明伽玛模型至少在平面限制中是可集成的CFT。我们使用QSC来分析异常尺寸的前5个弱耦合顺序，在渔网极限中匹配已知结果，并从数值上从弱耦合到强耦合。我们还利用这些数据来提取双跟踪操作员耦合的Beta功能的新系数。
We study the gamma-deformation of the planar N=4 super Yang-Mills theory which breaks all supersymmetries but is expected to preserve integrability of the model. We focus on the operator Tr$(ϕ_1ϕ_1)$ built from two scalars, whose integrability description has been questioned before due to contributions from double-trace counterterms. We show that despite these subtle effects, the integrability-based Quantum Spectral Curve (QSC) framework works perfectly for this state and in particular reproduces the known 1-loop prediction. This resolves an earlier controversy concerning this operator and provides further evidence that the gamma-deformed model is an integrable CFT at least in the planar limit. We use the QSC to compute the first 5 weak coupling orders of the anomalous dimension analytically, matching known results in the fishnet limit, and also compute it numerically all the way from weak to strong coupling. We also utilize this data to extract a new coefficient of the beta function of the double-trace operator couplings.
