平面极限外可积性的提示：非平凡背景
Hints of Integrability Beyond the Planar Limit: Nontrivial Backgrounds
摘要：
计算一类具有大R荷的（近）半BPS算子的反常维数的问题被归结为对角化Cuntz振子链的问题。由于我们考虑的运营商的大尺寸，非平面的修正，必须加以总结，以正确地构建Cuntz振荡器动力学。这些非平面修正并不代表对偶引力理论中的量子修正，相反，它们解释了我们研究的维度的重算符的反作用。一般来说，非平面修正对量子修正的解释似乎破坏了可积性。有趣的是，考虑反作用的非平面修正是否也破坏了可积性。我们发现一个限制，我们的Cuntz链继续承认额外的保守电荷，这表明可积性可能会生存。
英文摘要：
The problem of computing the anomalous dimensions of a class of (nearly) half-BPS operators with a large R-charge is reduced to the problem of diagonalizing a Cuntz oscillator chain. Due to the large dimension of the operators we consider, non-planar corrections must be summed to correctly construct the Cuntz oscillator dynamics. These non-planar corrections do not represent quantum corrections in the dual gravitational theory, but rather, they account for the backreaction from the heavy operator whose dimension we study. Non-planar corrections accounting for quantum corrections seem to spoil integrability, in general. It is interesting to ask if non-planar corrections that account for the backreaction also spoil integrability. We find a limit in which our Cuntz chain continues to admit extra conserved charges suggesting that integrability might survive.
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