论文标题
生成巨型重力状态的功能
Generating Functions for Giant Graviton Bound States
论文作者
论文摘要
我们针对带有开放字符串的巨型重力系统的系统构建了对操作员的生成功能。这些运营商具有订单$ n $的裸露尺寸，因此用于解决平面限制的通常方法不适用。生成函数以辅助变量的形式给出，该函数实现了合成操作员的磁场指数的对称和反对称性。良好的缩放维度（扩张算子的特征状态）的操作员称为高斯图运算符。我们的生成功能可简单地构造高斯图运算符，以前是使用双坐骨上的傅立叶变换获得的。新的描述为这些操作员的系统$ {1 \ vos n} $扩展提供了自然的起点，以及扩张操作员对其的动作，就其积分表示的鞍点评估而言。
We construct generating functions for operators dual to systems of giant gravitons with open strings attached. These operators have a bare dimension of order $N$ so that the usual methods used to solve the planar limit are not applicable. The generating functions are given as integrals over auxiliary variables, which implement symmetrization and antisymmetrization of the indices of the fields from which the operator is composed. Operators of a good scaling dimension (eigenstates of the dilatation operator) are known as Gauss graph operators. Our generating functions give a simple construction of the Gauss graph operators which were previously obtained using a Fourier transform on a double coset. The new description provides a natural starting point for a systematic ${1\over N}$ expansion for these operators as well as the action of the dilatation operator on them, in terms of a saddle point evaluation of their integral representation.
