平面极限下的全息理论自举
Bootstrapping Holographic Theories in the Planar Limit
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中文总结 AI 辅助
结合数值共形自举与超对称局域化，为平面大N极限下的全息超共形场论（N=4 SYM及N=2规范理论）计算最低标量单迹算符标度维数的上界，结果与已知可积性及弱强耦合预测相符。
中文摘要 AI 辅助
我们将数值共形自举与超对称局域化相结合，以在有限't Hooft耦合λ下，约束平面大N极限中全息超共形场论的谱。我们考虑N=4 SU(N)超杨-米尔斯(SYM)理论中的应力张量多重态四点函数，该理论全息对偶于闭弦散射，以及具有SO(8)味对称性的特定4d N=2 U Sp(2N)规范理论中的味多重态关联函数，该理论对偶于开弦散射。在两种情况下，我们结合色散求和规则与来自超对称局域化的积分约束，对所有λ计算最低标量单迹算符标度维数的上界。对于N=4 SYM，我们发现我们的界在所有λ下都接近已知的可积性结果。对于N=2理论，其中可积性尚不可用，我们发现我们的界在相关区域接近弱耦合和强耦合预测。
英文摘要
We combine the numerical conformal bootstrap with supersymmetric localization to constrain the spectrum of holographic superconformal field theories in the planar large $N$ limit for finite 't Hooft coupling $λ$. We consider the stress tensor multiplet four-point function in $\mathcal{N}=4$ $SU(N)$ super-Yang-Mills (SYM), which is holographically dual to closed string scattering, as well as the flavor multiplet correlator in a certain $ 4d $ $\mathcal{N}=2$ $U\!Sp(2N)$ gauge theory with $SO(8)$ flavor symmetry, which is dual to open string scattering. In both cases, we combine dispersive sum rules with integrated constraints from supersymmetric localization to compute an upper bound on the scaling dimension of the lowest scalar single-trace operator for all $λ$. For $\mathcal{N}=4$ SYM, we find that our bounds are close to the known integrability result for all $λ$. For the $\mathcal{N}=2$ theory, where integrability is not yet available, we find that our bounds are close to weak and strong coupling predictions in the relevant regimes.
发表机构
- Abdus Salam Centre for Theoretical Physics, Imperial College London（帝国理工学院阿卜杜斯·萨拉姆理论物理中心）
- SISSA（国际高等研究院）
- INFN, Sezione di Trieste（国家核物理研究院的里雅斯特分部）
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