Solar energy paper index

Symmetry extension by condensation defects II: general dimensions and higher-groups

2026-07-17 · arXiv: 2607.16099

One-line summary

A solar energy research paper on Symmetry extension by condensation defects II: general dimensions and higher-groups.

Engineering notes

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Chinese explanation / 中文解读

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Original abstract

We discuss a class of symmetry structures in general spacetime dimension that arise when gauging symmetries in theories with a cubic 't Hooft anomaly. The anomaly mixes two Abelian discrete symmetries $A$ and $B$ with a characteristic class for an additional symmetry $C$, and we gauge $A\times B$. The novelty of this construction is that the resulting symmetry structure involves certain condensation defects of the dual symmetry $\widehat{A}\times\widehat{B}$. Specifically, these defects generate an invertible symmetry that extends $C$, either as an ordinary group extension or as a higher-group, depending on the characteristic class. We describe the corresponding charged operators and states, and illustrate the mechanism in several examples.

5.0Engineering value
7.0Research novelty
4.0Business relevance

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