标题： 对具有伴随狄拉克费米子的QCD的对称性、宇宙和相$_2$ 显示英文标题

标题： Symmetries, Universes and Phases of QCD$_2$ with an Adjoint Dirac Fermion

摘要： 我们研究带有伴随狄拉克费米子的2d$SU(N)$QCD。 假设无质量理论的IR极限由一个WZW陪集CFT描述，我们证明该CFT可以分解为不同CFT的和，每个CFT代表一个超选择扇区（宇宙），对应于不同的通量管扇区。 描述每个宇宙的CFT通过具有与$\mathbb{Z}^{(1)}_N$1-形式对称性混合反常的不可逆拓扑线相关联。 这些对称性在整个RG流中存在，从而意味着无质量理论的去禁闭。 我们首先概述任意$N$的模型的一般特征，然后对$N=2$和$N=3$提供详细分析。 在这些特定情况下，我们明确确定IR划分函数，识别对称性，并探讨相关的变形。 基于这些发现并符合各种先前的研究，我们提出了一种质量化的$SU(2)$规范理论的相图，并计算了其约束弦张力。 显示英文摘要

摘要： We study 2d $SU(N)$ QCD with an adjoint Dirac fermion. Assuming that the IR limit of the massless theory is captured by a WZW coset CFT, we show that this CFT can be decomposed into a sum of distinct CFTs, each representing a superselection sector (universe) of the gauge theory corresponding to different flux tube sectors. The CFTs describing each universe are related by non-invertible topological lines that exhibit a mixed anomaly with the $\mathbb{Z}^{(1)}_N$ 1-form symmetry. These symmetries exist along the entire RG flow thereby implying deconfinement of the massless theory. We begin by outlining the general features of the model for arbitrary $N$ and then provide a detailed analysis for $N=2$ and $N=3$. In these specific cases, we explicitly determine the IR partition function, identify the symmetries, and explore relevant deformations. Based on these findings and in alignment with various previous studies, we propose a phase diagram for the massive $SU(2)$ gauge theory and calculate its confining string tension.