Decomposition, Condensation Defects, and Fusion
Decomposition, Condensation Defects, and Fusion
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DOI：
10.1002/prop.202200130
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发表时间：
2022-08
期刊：
影响因子：
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通讯作者：
Ling Lin;D. Robbins;E. Sharpe
中科院分区：
文献类型：
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作者：
Ling Lin;D. Robbins;E. Sharpe
在本文中，我们概述了应用分解的凝聚缺陷和他们的融合规则。简而言之，凝聚亏损是通过沿着一个子流形测量一个更高形式的沿着对称性而得到的，因此与分解的概念有一个自然的相互作用，即具有整体（d−1）$（d-1）$-形式对称性的d维量子场论等价于其他量子场论的不相交并。我们还将构造新的（有时是不可逆的）缺陷，并再次利用分解计算它们的融合产物。在所有这些分析中，θ角对于规范的高级形式对称性将发挥重要作用，它可以用来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)$(d-1)$ ‐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.