论文标题
在$ {\ cal m} $ - 大 - $ n $ thermal QCD的理论二重性理论dual dual dual dual dual dual dual-n $ {\ cal o}（r^4）$和$ g $ - 结构分类的基础非subsymmetric Gemortries
On ${\cal M}$-Theory Dual of Large-$N$ Thermal QCD-Like Theories up to ${\cal O}(R^4)$ and $G$-Structure Classification of Underlying Non-Supersymmetric Geometries
论文作者
论文摘要
Construction of a top-down holographic dual of thermal QCD-like theories (equivalence class of theories which are UV-conformal, IR-confining and have fundamental quarks) {\it at intermediate 't Hooft coupling} and the $G$-structure (torsion classes) classification of the underlying geometries (in the Infra Red (IR)/non-conformal sector in {\ it non-superSymmetric}字符串/$ {\ cal m} $ - 理论双重，在文献中已经缺少{\ it non-supersymmetric} string/$ {\ cal m} $的特殊）。我们通过研究$ {\ cal m} $理论在这个方向上采取的第一个重要步骤，该理论是在中间量表和't Hooft耦合的大型QCD样理论的双重二元，并获得$ {\ cal o}（l_p^6）$校正来自$ {\ cal o}（l_p^6）$。 m} $ - \ cite {mqgp}的中间量规/字符串耦合的大 - $ n $热qCD式理论的理论双重QCD样理论。汲取的主要物理课程是，非统一的红外增强与普朗克和大型$ n $抑制之间存在竞争，如果IR增强赢得了$ {\ cal o}（L_P^6）$之外的订单（\ cal o}（l_p^6）$。数学中学到的主要教训是在与字符串/$ {\ cal m} $相关的内部流形的微分几何形状（$ g $ - 结构分类）的背景下，大$ $ n $ thyter qcd式理论的理论双重二重奏，我们在其中首次获得$ {\ cal o}（r^4）$ orperra，in Infrra in Infrra，in Infrra in Infrra in Infrra in Infrra infra in Iff infra offra。 $ su（3）$ - \ cite {genrics}的IIA型镜像的结构扭转类（在与Siegel Theta的途径中与适当的高椭圆曲线相关的功能以及Kiepert的算法以及求解Quintics的算法），以及$ g_2/su（4）/su（4）/spin（7）$ - 结构$ - $ - 结构$ - $ - - $ - 结构$ - M} $理论提升。
Construction of a top-down holographic dual of thermal QCD-like theories (equivalence class of theories which are UV-conformal, IR-confining and have fundamental quarks) {\it at intermediate 't Hooft coupling} and the $G$-structure (torsion classes) classification of the underlying geometries (in the Infra Red (IR)/non-conformal sector in particular) of the {\it non-supersymmetric} string/${\cal M}$-theory duals, have been missing in the literature. We take the first important steps in this direction by studying the ${\cal M}$ theory dual of large-$N$ thermal QCD-like theories at intermediate gauge and 't Hooft couplings and obtaining the ${\cal O}(l_p^6)$ corrections arising from the ${\cal O}(R^4)$ terms to the "MQGP" background (${\cal M}$-theory dual of large-$N$ thermal QCD-like theories at intermediate gauge/string coupling, but large 't Hooft coupling) of \cite{MQGP}. The main Physics lesson learnt is that there is a competition between non-conformal IR enhancement and Planckian and large-$N$ suppression and going to orders beyond the ${\cal O}(l_p^6)$ is necessitated if the IR enhancement wins out. The main lesson learnt in Math is in the context of the differential geometry ($G$-structure classification) of the internal manifolds relevant to the string/${\cal M}$-theory duals of large-$N$ thermal QCD-like theories, wherein we obtain for the first time inclusive of the ${\cal O}(R^4)$ corrections in the Infra-Red (IR), the $SU(3)$-structure torsion classes of the type IIA mirror of \cite{metrics} (making contact en route with Siegel theta functions related to appropriate hyperelliptic curves, as well as the Kiepert's algorithm of solving quintics), and the $G_2/SU(4)/Spin(7)$-structure torsion classes of the seven- and eight-folds associated with its ${\cal M}$ theory uplift.
