${\mathscr {M}}$ cTEQ（${\mathscr {M}}$ ${\bf c}$ hiral扰动理论兼容的解${\bf T}$温度和${\bf E}$缠结熵，直到项${\bf Q}$曲率）和FM（${\bf F}$ lavor ${\bf M}$ emory）
${\mathscr {M}}$cTEQ (${\mathscr {M}}$ ${\bf c}$hiral perturbation theory-compatible deconfinement ${\bf T}$emperature and ${\bf E}$ntanglement Entropy up to terms ${\bf Q}$uartic in curvature) and FM (${\bf F}$lavor ${\bf M}$emory)
摘要：
在${\it intermediate\ coupling}$上从类热QCD理论的M-理论对偶对$T_c$进行全息计算，在文献中一直缺失。填补这一空白，我们证明了一种新的紫外-红外混合，（猜想和提供证据）的非重整化超过1循环的${\bf M}-{\bf c}$手征微扰理论arXiv：2011.04660[hep-th]兼容的deconconfinement ${\bf T}$ emperature，并显示与${\bf E}$缠结（以及Wald）熵arXiv：0709.2140[hep-th]计算等价，直到术语${\bf Q}$曲率。我们证明了在重力场的M-理论提升中的${\bf F}$味道- ${\bf M}$记忆（FM）效应，其中非braner M-理论提升保留了母型IIB对偶的味道D 7-膜的“记忆”，在这个意义上，上述四次修正的特定组合精确地沿着被味道D 7-膜“包裹”的非紧四圈的紧部分对度量分量进行修正，是什么决定了，例如，在O $(R^4)$的爱因斯坦-希尔伯特作用。OPDMATHABMU度规修正的相同线性组合，在匹配SU（3）NLO ChPT拉格朗日量之一的耦合常数的唯象值时，需要具有确定的符号。有趣的是，在空间圆的解压缩极限，我们${\it derive}$这，并获得相关的O $(R^4)$度量校正的值。此外，等价于Wald熵的黑洞在${\cal O}(R^4)$的度量修正的线性组合上施加了线性约束。值得注意的是，当从热引力对偶中的纠缠熵计算中评估$T_c$时，由于来自上述度量分量的子集的${\cal O}(R^4)$校正之间的微妙抵消，可以看到在四阶上没有对$T_c$的校正支持上面提到的猜想。
英文摘要：
A holographic computation of $T_c$ at ${\it intermediate\ coupling}$ from M-theory dual of thermal QCD-like theories, has been missing in the literature. Filling this gap, we demonstrate a novel UV-IR mixing, (conjecture and provide evidence for) a non-renormalization beyond 1 loop of ${\bf M}-{\bf c}$hiral perturbation theory arXiv:2011.04660[hep-th]-compatible deconfinement ${\bf T}$emperature, and show equivalence with an ${\bf E}$ntanglement (as well as Wald) entropy arXiv:0709.2140[hep-th] computation, up to terms ${\bf Q}$uartic in curvature. We demonstrate a ${\bf F}$lavor-${\bf M}$emory (FM) effect in the M-theory uplifts of the gravity duals, wherein the no-braner M-theory uplift retains the "memory" of the flavor D7-branes of the parent type IIB dual in the sense that a specific combination of the aforementioned quartic corrections to the metric components precisely along the compact part of the non-compact four-cycle "wrapped" by the flavor D7-branes, is what determines, e.g., the Einstein-Hilbert action at O$(R^4)$. The same linear combination of O$(R^4)$ metric corrections, upon matching the phenomenological value of the coupling constant of one of the SU(3) NLO ChPT Lagrangian, is required to have a definite sign. Interestingly, in the decompactification limit of the spatial circle, we ${\it derive}$ this, and obtain the values of the relevant O$(R^4)$ metric corrections. Further, equivalence with Wald entropy for the black hole at ${\cal O}(R^4)$ imposes a linear constraint on the same linear combination of metric corrections. Remarkably, when evaluating $T_c$ from an entanglement entropy computation in the thermal gravity dual, due to a delicate cancelation between the ${\cal O}(R^4)$ corrections from a subset of the abovementioned metric components, one sees that there are no corrections to $T_c$ at quartic order supporting the conjecture referred to above.
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