标题： 线缺陷的气泡几何激发 显示英文标题

标题： Excitations of bubbling geometries for line defects

摘要： 半BPS威尔逊线算符在由杨图标记的不可约表示中，对于$\mathcal{N}=4$ $U(N)$ 超 Yang-Mills 理论有引力对偶描述。当图中的方块数$k$随着$k\sim N^2$增长时，泡沫几何结构出现。我们从带有威尔逊线的超对称指标的大$N$和大$k$极限中评估了泡沫几何上的量子涨落谱。 激发态的谱在多粒子$1/8$- 和$1/2$-BPS 状态上与有限域上一般线性群的共轭类数目一致，而单粒子 BPS 状态的简并度由一般项链多项式给出。 泡状几何表现出一类新的渐近状态简并。 显示英文摘要

摘要： The half-BPS Wilson line operators in the irreducible representations labeled by the Young diagrams for $\mathcal{N}=4$ $U(N)$ super Yang-Mills theory have gravity dual descriptions. When the number $k$ of boxes of the diagram grows as $k\sim N^2$, the bubbling geometries emerge. We evaluate the spectra of quantum fluctuations on the bubbling geometries from the large $N$ and large $k$ limit of the supersymmetric indices decorated by the Wilson lines. The spectra of excitations over multi-particle $1/8$- and $1/2$-BPS states agree with the numbers of conjugacy classes of general linear group over finite fields while degeneracies of single particle BPS states are given by the general necklace polynomial. The bubbling geometry exhibits a new class of asymptotic degeneracy of states.