Symmetric orbifold OPE from string theory
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866908487941881856 |
|---|---|
| author | Sriprachyakul, Vit |
| author_facet | Sriprachyakul, Vit |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_18244 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symmetric orbifold OPE from string theory Sriprachyakul, Vit High Energy Physics - Theory 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. |
| title | Symmetric orbifold OPE from string theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.18244 |