标题： ABJM理论中精确的大R荷关联函数 显示英文标题

标题： Exact Large R-charge Correlators in ABJM Theory

摘要： 我们在ABJM理论中构造了一类由Schur多项式给出的算符。 通过在有限的 $N$ 下计算两点函数，我们确认这些算符在这个自由场极限下是对角化的。 我们还计算了零耦合极限下的精确三点和多点关联函数。 最后，我们考虑了一个由具有 $R$ -电荷为 $O(N^2$ 的算符产生的特定非平凡背景。 我们证明了非平面修正（即使在大的 $N$ 下也不能再被忽略）可以重新求和，从而给出在这种背景下计算关联函数的 $1/(N+M)$ 展开。 显示英文摘要

摘要： We construct a class of operators, given by Schur polynomials, in ABJM theory. By computing two point functions at finite $N$ we confirm these are diagonal for this class of operators in the free field limit. We also calculate exact three and multi point correlators in the zero coupling limit. Finally, we consider a particular nontrivial background produced by an operator with an $R$-charge of $O(N^2$. We show that the nonplanar corrections (which can no longer be neglected, even at large $N$) can be resummed to give a $1/(N+M)$ expansion for correlators computed in this background.