论文标题

分解,冷凝缺陷和融合

Decomposition, condensation defects, and fusion

论文作者

Lin, Ling, Robbins, Daniel G., Sharpe, Eric

论文摘要

在本文中,我们概述了分解对凝结缺陷及其融合规则的应用。简而言之,通过沿着子手机测量高色对称性来获得冷凝缺陷,因此存在与分解概念的自然相互作用,即D二维量子场理论与全局(D-1)形式对称性的陈述相当于其他量子田间理论的脱节联合。我们还将构建新的(有时是不可变的)缺陷,并再次利用分解来计算其融合产品。在所有这些分析中,将通过theta角度扮演重要的角色,用于测量高格式对称性,可用于在分解中选择单个宇宙。

In this paper we outline the application of decomposition to condensation defects and their fusion rules. Briefly, a condensation defect is obtained by gauging a higher-form symmetry along a submanifold, and so there is a natural interplay with notions of decomposition, the statement that d-dimensional quantum field theories with global (d-1)-form symmetries are equivalent to disjoint unions of other quantum field theories. We will also construct new (sometimes non-invertible) defects, and compute their fusion products, again utilizing decomposition. An important role will be played in all these analyses by theta angles for gauged higher-form symmetries, which can be used to select individual universes in a decomposition.

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