变形对称乘积轨道:模量和更高自旋流的故事
Deforming Symmetric Product Orbifolds: A tale of moduli and higher spin currents
摘要:
我们分析了如何变形的对称产品orbifolds的二维$\mathcal{N}=2$共形场论由一个确切的边际运营商升降机更高的自旋电流存在于orbifold点。我们发现,一方面,这些电流普遍解除,无论潜在的CFT。另一方面,提升的细节是令人惊讶的非通用的,依赖于底层CFT的中心荷和使用中的特定边际算子。在AdS/CFT对应的背景下,我们的结果说明了弦谱在模空间中运动时转变为超引力谱的机制。它们还提供了进一步的证据,对称产品orbifolds的$\mathcal{N}=2$极小模型是全息的。
英文摘要:
We analyze how deforming symmetric product orbifolds of two-dimensional $\mathcal{N}=2$ conformal field theories by an exactly marginal operator lifts higher spin currents present at the orbifold point. We find on the one hand that these currents are universally lifted regardless of the underlying CFT. On the other hand the details of the lifting are surprisingly non-universal, with dependence on the central charge of the underlying CFT and the specific marginal operator in use. In the context of the AdS/CFT correspondence, our results illustrate the mechanism by which the stringy spectrum turns into a supergravity spectrum when moving through the moduli space. They also provide further evidence that symmetric product orbifolds of $\mathcal{N}=2$ minimal models are holographic.
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