Spin-2 operators in two-dimensional $\mathcal{N}=(4,0)$ quivers from massive type IIA
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916367205138432 |
|---|---|
| author | Zhang, Shuo |
| author_facet | Zhang, Shuo |
| contents | In this work we revisit the problem of studying spin-2 fluctuations around a class of solutions in massive type IIA that is given by a warped $\text{AdS}_3 \times \text{S}^2 \times \text{T}^4 \times \mathcal{I}_ρ$ and with $\mathcal{N}=(4,0)$ supersymmetry. We were able to identify a class of fluctuations, which is known as the ``minimal universal class'' that is independent of the background data and saturates the bound on the mass related to the field theory unitarity bound. These operators have conformal dimension $Δ= 2(\ell+1)$, with $\ell$ being the quantum number of the angular momentum on the $\text{S}^2$. We also computed the normalisation of the $2$-point function of stress-energy tensors from the effective $3$-dimensional graviton action. We comment on the relation of our results to the related $\text{AdS}_3$ and $\text{AdS}_2$ solutions in massive type IIA and type IIB theories respectively. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_09455 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spin-2 operators in two-dimensional $\mathcal{N}=(4,0)$ quivers from massive type IIA Zhang, Shuo High Energy Physics - Theory In this work we revisit the problem of studying spin-2 fluctuations around a class of solutions in massive type IIA that is given by a warped $\text{AdS}_3 \times \text{S}^2 \times \text{T}^4 \times \mathcal{I}_ρ$ and with $\mathcal{N}=(4,0)$ supersymmetry. We were able to identify a class of fluctuations, which is known as the ``minimal universal class'' that is independent of the background data and saturates the bound on the mass related to the field theory unitarity bound. These operators have conformal dimension $Δ= 2(\ell+1)$, with $\ell$ being the quantum number of the angular momentum on the $\text{S}^2$. We also computed the normalisation of the $2$-point function of stress-energy tensors from the effective $3$-dimensional graviton action. We comment on the relation of our results to the related $\text{AdS}_3$ and $\text{AdS}_2$ solutions in massive type IIA and type IIB theories respectively. |
| title | Spin-2 operators in two-dimensional $\mathcal{N}=(4,0)$ quivers from massive type IIA |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.09455 |