Symmetric orbifold OPE from string theory

2025/04/25 by Vit Sriprachyakul, Sriprachyakul, Vit · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2504.18244

openalex publication_date 2025/04/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss how to obtain the symmetric orbifold fusion rule/OPE from the dual string theory. We consider two explicit examples: k_b=3 bosonic strings in \rm AdS₃× X in the near-boundary limit and k=1 hybrid strings in \rm AdS₃× S³×\mathbbT⁴. The main advantage of these two examples is that they have explicit expressions for the vertex operators in the x-basis. We show that the OPE of such vertex operators explicitly captures the longest cycle contribution in the symmetric orbifold fusion rule/OPE. We then argue how one can obtain the shorter-cycle contributions using the screening operators existing in the theories. We also discuss how our general result reduces to the earlier results in the literature.

Cited by

• Superstring four-point functions in AdS₃× S³× T⁴

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