Year: 2026
Type: article
Abstract: A bstract We construct generalized symmetries in two-dimensional symmetric product orbifold CFTs Sym N ( $$ \mathcal{T} $$ T ), for a generic seed CFT $$ \mathcal{T} $$ T . These symmetries are more general than the universal and maximally symmetric ones previously constructed. We show that, up to one fine-tuned example when the number of copies N equals four, the only symmetries that can be preserved under twisted sector marginal deformations are invertible and maximally symmetric. The results are obtained in two ways. First, using the mathematical machinery of G -equivariantization of fusion categories, and second, via the projector construction of topological defect lines. As an application, we classify all preserved symmetries in symmetric product orbifold CFTs with the seed CFT given by any A -series $$ \mathcal{N}=\left(2,2\right) $$ N = 2 2 minimal model. We comment on the implications of our results for holography.
Source: Journal of High Energy Physics
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Funder: National Science Foundation
OpenAlex ID: W4415089887