标题： 对称性增强，SPT吸收和QED中的对偶性$_3$ 显示英文标题

标题： Symmetry Enhancement, SPT Absorption, and Duality in QED$_3$

摘要： 在2+1维的量子电动力学（QED$_3$）中，包含两个狄拉克费米子，该理论表现出时间反演对称性、非平凡的SPT相和异常。 该理论在强耦合区域的命运一直存在广泛争论。 令人惊讶的是，我们发现将两个标准威尔逊-费舍尔$O(4)$理论的相图拼接在一起就足以重现所有的SPT相、异常和半经典极限。 其背后的中心机制是“SPT吸收”。 $O(4)$转变的拼接为理论在强耦合极限下的行为做出了非常具体的预测；例如，由于单极子凝聚，$\theta=\pi$ sigma 模型具有$S^3$拓扑。 显示英文摘要

摘要： Quantum Electrodynamics in 2+1 dimensions (QED$_3$) with two Dirac fermions displays time reversal symmetry, nontrivial SPT phases and anomalies. The fate of this theory in its strongly coupled regime has been debated extensively. Surprisingly, we find that gluing together the phase diagrams of two standard Wilson-Fisher $O(4)$ theories suffices to reproduce all the SPT phases, anomalies, and semi-classical limits. A central mechanism behind it is ``SPT absorption''. The patching of the $O(4)$ transitions makes very concrete predictions for the behavior of the theory in its strongly coupled limits; for instance, the $\theta=\pi$ sigma model with $S^3$ topology appears due to monopole condensation.