标题： 通过多元宇宙干涉的瞬子限制：非紧致规范理论和(-1)-形式对称性 显示英文标题

标题： Total instanton restriction via multiverse interference: Noncompact gauge theories and (-1)-form symmetries

摘要： 在本文中，我们考虑分解的例子（其中局部QFT等价于多个独立理论的不相交并集，称为宇宙），其中存在连续的宇宙族，而不是有限或可数无限的集合。特别是，这使我们能够通过适当的(-1)-形式对称性的拓扑规范化，一致地消除局部QFT中的所有瞬子。在二维U(1)规范理论中，这相当于将规范群改为R。这使得局域性以及瞬子限制变得明确。我们将此应用于澄清二维纯杨-米尔斯理论分解的格罗斯-泰勒字符串解释。我们还将分解应用于研究二维R规范理论，如纯R麦克斯韦理论，以及规范群包含R因子的二维超对称规范线性sigma模型。在这一背景下，我们发现类似于狄拉克磁单极子的Witten效应在此处宇宙之间旋转，在将各个宇宙的异常与不相交并集中的（不同）异常联系起来方面起作用。最后，我们讨论Tanizaki-Unsal构造的极限，该构造通过拓扑规范化Q/Z (-1)-形式对称性来实现瞬子限制，并在二维理论中推测这些极限可能以 adelicsolenoid 的形式进行解释。 显示英文摘要

摘要： In this note we consider examples of decomposition (in which a local QFT is equivalent to a disjoint union of multiple independent theories, known as universes) where there is a continuous familiy of universes, rather than a finite or countably infinite collection. In particular, this allows us to consistently eliminate all instantons in a local QFT via a suitable topological gauging of the (-1)-form symmetry. In two-dimensional U(1) gauge theories, this is equivalent to changing the gauge gruop to R. This makes both locality as well as the instanton restriction explicit. We apply this to clarify the Gross-Taylor string interpretation of the decomposition of two-dimensional pure Yang-Mills. We also apply decomposition to study two-dimensional R gauge theories, such as the pure R Maxwell theory, and two-dimensional supersymmetric gauged linear sigma models whose gauge groups have factors of R. In that context, we find that analogues of the Witten effect for dyons, here rotating between universes, play a role in relating anomalies of the individual universes to (different) anomalies in the disjoint union. Finally, we discuss limits of the Tanizaki-Unsal construction, which accomplish instanton restriction by topologically gauging a Q/Z (-1)-form symmetry, and speculate in two-dimensional theories on possible interpretations of those limits in terms of the adelic solenoid.