On AdS/CFT duality in the twisted sector of string theory on $AdS_5 \times S^5/\mathbb{Z}_2$ orbifold background
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914865973559296 |
|---|---|
| author | Skrzypek, Torben Tseytlin, Arkady A. |
| author_facet | Skrzypek, Torben Tseytlin, Arkady A. |
| contents | We consider type IIB string theory on an $AdS_5 \times S^5/\mathbb{Z}_2$ orbifold background, which should be dual to 4d $\mathcal{N}=2$ superconformal $SU(N)\times SU(N)$ gauge theory with two bi-fundamental hypermultiplets. The correlator of two chiral BPS operators from the twisted sector of this quiver CFT exhibits non-trivial dependence on the 't Hooft coupling $λ$ already in the planar limit. This dependence was recently determined using localisation and the expansion at large $λ$ contains a subleading contribution proportional to $ζ(3) λ^{-3/2}$. We address the question of how to reproduce this correction on the string theory side by starting with the $ζ(3) α'^3$ term in the type IIB string effective action. We find a solution of type IIB supergravity which represents a resolution of the $AdS_5 \times S^5/\mathbb{Z}_2$ orbifold singularity and demonstrate that the relevant light twisted sector states may be identified as additional supergravity 2-form modes "wrapping" a finite 2-cycle in the resolution space. Reproducing the structure of the gauge theory result becomes more transparent in the large R-charge or BMN-like limit in which the resolved background takes a pp-wave form with the transverse space being a product of $\mathbb R^4$ and the Eguchi-Hanson space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_13850 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On AdS/CFT duality in the twisted sector of string theory on $AdS_5 \times S^5/\mathbb{Z}_2$ orbifold background Skrzypek, Torben Tseytlin, Arkady A. High Energy Physics - Theory We consider type IIB string theory on an $AdS_5 \times S^5/\mathbb{Z}_2$ orbifold background, which should be dual to 4d $\mathcal{N}=2$ superconformal $SU(N)\times SU(N)$ gauge theory with two bi-fundamental hypermultiplets. The correlator of two chiral BPS operators from the twisted sector of this quiver CFT exhibits non-trivial dependence on the 't Hooft coupling $λ$ already in the planar limit. This dependence was recently determined using localisation and the expansion at large $λ$ contains a subleading contribution proportional to $ζ(3) λ^{-3/2}$. We address the question of how to reproduce this correction on the string theory side by starting with the $ζ(3) α'^3$ term in the type IIB string effective action. We find a solution of type IIB supergravity which represents a resolution of the $AdS_5 \times S^5/\mathbb{Z}_2$ orbifold singularity and demonstrate that the relevant light twisted sector states may be identified as additional supergravity 2-form modes "wrapping" a finite 2-cycle in the resolution space. Reproducing the structure of the gauge theory result becomes more transparent in the large R-charge or BMN-like limit in which the resolved background takes a pp-wave form with the transverse space being a product of $\mathbb R^4$ and the Eguchi-Hanson space. |
| title | On AdS/CFT duality in the twisted sector of string theory on $AdS_5 \times S^5/\mathbb{Z}_2$ orbifold background |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.13850 |