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Symmetric orbifold OPE from string theory

Vit Sriprachyakul

13/8/25 Published in : arXiv:2504.18244

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 AdS_3}\times X in the near-boundary limit and k = 1 hybrid strings in \rm AdS_3\times S^3\times\mathbb{T}^4. 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.

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  • String Theory
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Two Decades of Probabilistic Approach to Liouville Conformal Field Theory

The On-shell Gravity Action and Linear Dilaton Holography

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