Non-invertible symmetries in S_N orbifold CFTs and holography

2024/05/24 by Michael Gutperle, Yanyan Li, Gutperle, Michael +5 · 2 citations
Mathematics · Medicine · #FOS: Physical sciences #Geometric Analysis and Curvature Flows #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Ophthalmology and Eye Disorders

paper · pdf · doi:10.48550/arxiv.2405.15693

openalex publication_date 2024/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study non-invertible defects in two-dimensional S_N orbifold CFTs. We construct universal defects which do not depend on the details of the seed CFT and hence exist in any orbifold CFT. Additionally, we investigate non-universal defects arising from the topological defects of the seed CFT. We argue that there exist universal defects that are non-trivial in the large-N limit, making them relevant for the AdS₃/CFT₂ correspondence. We then focus on AdS₃×S³× \mathcal M₄ with one unit of NS-NS flux and propose an explicit realization of these defects on the worldsheet.

Cited by

• Fermion Parity Resolution of Entanglement
• D-Branes in AdS₃× S³ × S³ × S¹

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