论文标题
延迟的解解和鹰页过渡
Delayed Deconfinement and the Hawking-Page Transition
论文作者
论文摘要
我们在$ \ mathcal {n} = 4 $ super yang-mills（sym）理论及其与重力中的鹰页面过渡的关系中重新审视限制/反式过渡。最近，计算1/16-BPS极端黑洞的微晶格取得了重大进展。但是，目前在$ \ Mathcal {n} = 4 $ sym中的霍金页过渡与其头像之间存在不匹配。这导致人们猜测存在将解决不匹配的新引力马鞍。在这里，我们在复杂的矩阵模型中表现出一种现象，我们称之为“延迟解密”。事实证明，当动作复杂时，由于破坏性干扰，速旋模式不一定会凝结。我们以普通积分（一个简单的统一矩阵模型，最后在$ \ m rathcal {n} = 4 $ sym的上下文中演示了这种现象。与单一基质模型中更熟悉的高阶过渡案例相反，延迟的解料意味着一阶转变。我们确定了解密线，并发现与重力预测的显着一致。在途中，我们得出了有关具有复杂耦合的毛 - 韦纳维亚模型的一些结果。我们的技术适用于多种（SUSY和非萨西和非顾问）理论，尽管在本文中，我们仅讨论了$ \ Mathcal {n} = 4 $ sym的情况。
We revisit the confinement/deconfinement transition in $\mathcal{N}=4$ super Yang-Mills (SYM) theory and its relation to the Hawking-Page transition in gravity. Recently there has been substantial progress on counting the microstates of 1/16-BPS extremal black holes. However, there is presently a mismatch between the Hawking-Page transition and its avatar in $\mathcal{N}=4$ SYM. This led to speculations about the existence of new gravitational saddles that would resolve the mismatch. Here we exhibit a phenomenon in complex matrix models which we call "delayed deconfinement". It turns out that when the action is complex, due to destructive interference, tachyonic modes do not necessarily condense. We demonstrate this phenomenon in ordinary integrals, a simple unitary matrix model, and finally in the context of $\mathcal{N}=4$ SYM. Delayed deconfinement implies a first-order transition, in contrast to the more familiar cases of higher-order transitions in unitary matrix models. We determine the deconfinement line and find remarkable agreement with the prediction of gravity. On the way, we derive some results about the Gross-Witten-Wadia model with complex couplings. Our techniques apply to a wide variety of (SUSY and non-SUSY) gauge theories though in this paper we only discuss the case of $\mathcal{N}=4$ SYM.
