论文标题
互动的新兴杨米尔理论
Interacting Emergent Yang-Mills theory
论文作者
论文摘要
在本文中，研究了对$ \ Mathcal {n} = 4 $ Super Yang-Mills理论的SU（3）扇区中一个循环扩张算子的动作的转换（以$ 1/n $）的校正。我们专注于两个巨型重力系统的双重操作员系统，它们具有裸露的尺寸$ \ sim \ Mathcal {o}（n）$，并且是限制性Schur多项式具有$ P = 2 $长列的线性组合。在领先地位上，扩张算子产生了出现的阳米尔斯理论的自由部分，这是由于巨型引力的开放式刺激引起的。我们验证我们研究的术语描述了这些开放的弦激励之间的相互作用。互动具有U（1）$ \ times $ u（1）的量规，预计一对分离的麸皮。
In this article, subleading (in $1/N$) corrections to the action of the one loop dilatation operator in the su(3) sector of $\mathcal{N}=4$ super Yang-Mills theory are studied. We focus on the system of operators dual to two giant graviton systems, which have a bare dimension $\sim\mathcal{O}(N)$ and are a linear combination of restricted Schur polynomials with $p=2$ long columns. At the leading order the dilatation operator gives rise to the free part of an emergent Yang-Mills theory, arising from the open string excitations of the giant gravitons. We verify that the terms we study describe interactions between these open string excitations. The interactions have the U(1)$\times$U(1) gauge invariance expected for a pair of separated branes.
