论文标题
纯抗DE保姆超级和保形bootstrap
Pure anti-de Sitter supergravity and the conformal bootstrap
论文作者
论文摘要
我们考虑在$ d = 3,4，\ text {和$ 6 $} $的$ d+1 $尺寸中，在$ d+1 $ dimensions in Anti-De Sitter Space（ADS）上的Graviton散射，没有额外的紧凑型空间因子。全息图表明，该理论对$ d $尺寸的异国情调的最大超对称保形场理论（CFT）是双重的。这与更标准的情况形成鲜明对比，例如$ ads_5 \ times s^5 $ dual至$ \ mathcal {n} = 4 $ super-yang-mills上的类型IIB字符串理论，其中CFT在$ s^5 $上的每种Kaluza-Klein模式都有轻的单个跟踪操作员。我们将1循环校正计算到纯ADS $ _ {D+1} $理论中的小planck长度扩展中，这对于CFT中的大中央电荷扩展是双重的。我们发现，这种校正使该相关器上最通用的非扰动保形式启动式引导范围饱和，以$ d = 3,4,6 $，而对CFTS的1循环校正具有字符串/M理论二元，所有的都位于允许区域内。
We consider graviton scattering in maximal supergravity on Anti-de Sitter space (AdS) in $d+1$ dimensions for $d=3,4,\text{and $6$}$ with no extra compact spacetime factor. Holography suggests that this theory is dual to an exotic maximally supersymmetric conformal field theory (CFT) in $d$ dimensions whose only light single trace operator is the stress tensor. This contrasts with more standard cases like Type IIB string theory on $AdS_5\times S^5$ dual to $\mathcal{N}=4$ Super-Yang-Mills, where the CFT has light single trace operators for each Kaluza-Klein mode on $S^5$. We compute the 1-loop correction to the pure AdS$_{d+1}$ theory in a small Planck length expansion, which is dual to the large central charge expansion in the CFT. We find that this correction saturates the most general non-perturbative conformal bootstrap bounds on this correlator in the large central charge regime for $d=3,4,6$, while the 1-loop correction to CFTs with string/M-theory duals all lie inside the allowed region.
