论文标题
新兴的杨米尔斯理论
Emergent Yang-Mills theory
论文作者
论文摘要
我们研究了双重与巨型晶体的算子的异常尺寸的光谱。被认为属于$ {\ cal n} = 4 $ Super Yang-Mills理论的SU $（2 | 3）$扇区的操作员，具有裸露的尺寸$ \ sim n $，并且是有限的Schur多项式与$ p \ sim o（1）$长行或列的线性组合。就像可以将操作员混合问题映射到可集成的自旋链中的方式一样，我们发现我们的问题映射到晶格上跳跃的颗粒。该模型的详细形式与$ p $巨型Graditon branes的预期世界量动力学达成了准确的一致性，这是U $（P）$ Yang-Mills理论。我们发现的晶格模型具有许多值得注意的功能。这是一个晶格模型，具有全面的站点相互作用和淬火障碍。
We study the spectrum of anomalous dimensions of operators dual to giant graviton branes. The operators considered belong to the su$(2|3)$ sector of ${\cal N}=4$ super Yang-Mills theory, have a bare dimension $\sim N$ and are a linear combination of restricted Schur polynomials with $p\sim O(1)$ long rows or columns. In the same way that the operator mixing problem in the planar limit can be mapped to an integrable spin chain, we find that our problem maps to particles hopping on a lattice. The detailed form of the model is in precise agreement with the expected world volume dynamics of $p$ giant graviton branes, which is a U$(p)$ Yang-Mills theory. The lattice model we find has a number of noteworthy features. It is a lattice model with all-to-all sites interactions and quenched disorder.
