论文标题
旋转 - $ 2 $广告中的运营商$ _2 $/cft $ _1 $
Spin-$2$ operators in AdS$_2$/CFT$_1$
论文作者
论文摘要
我们研究了$ \ text {ads} _2 \ times \ text {s}^2 \ times \ text {t}^4 \ times \ times \ times \ text {s}^1 \ times^1 \ times \ mathcal {i} _ $ topty Ib Prodive IB Ortipal Inlote Ib Prodive IB Prodive Ib type Ib type Ib propation ofty Ib typei in lote Ib prodact，超对称性。我们发现存在一套独立于背景数据的特殊解决方案。最小的通用类。这种特定类别的解决方案对应于具有缩放尺寸$δ= \ ell + 1 $的运算符，其中$ \ ell $是$ \ text {s}^2 $上的Angular-Momentum的量子数。使用这些自旋-2态的模式溶液，我们计算双场理论的中心电荷。我们评论结果与种子$ \ text {ads} _3 \ times \ text {s}^2 \ times \ text {t}^4 \ times \ times \ mathcal {i}_ρ$背景。
We study spin-2 fluctuations around an infinite family of warped backgrounds of the form $\text{AdS}_2 \times \text{S}^2 \times \text{T}^4 \times \text{S}^1 \times \mathcal{I}_ρ$ in the type IIB theory, which possesses $\mathcal{N}=4$ supersymmetry. We find that there exists a special set of solutions which is independent of the background data; the minimal universal class. This particular class of solutions corresponds to operators with scaling dimension $Δ= \ell + 1$, with $\ell$ being the quantum number of the angular-momentum on the $\text{S}^2$. Using the mode solutions of these spin-2 states, we compute the central charge of the dual field theories. We comment on the relation of our results to the seed $\text{AdS}_3 \times \text{S}^2 \times \text{T}^4 \times \mathcal{I}_ρ$ backgrounds.
