论文标题
来自全息图的三维SCFT的半典型
Semiclassics of three-dimensional SCFTs from holography
论文作者
论文摘要
我们使用全息图来计算一个无效的三维$ \ MATHCAL {n} = 2 $ scfts的无限类真空吸尘器的较大有效的场理论。我们特别关注复合模型，并展示大型$ r $ charge SCFT手性标量算子的频谱如何对应我们有效的田间理论的一组显式半经典解决方案，这些明确的半经典解决方案描述了逆向巨型Gravitons和Baryonic类似M5-m5-Branes的结合状态。我们的半经典描述允许直接计算这些操作员的缩放维度，并为大型$ r $ charge sector中的SCFT数据进行半经典研究提供了一个起点。我们考虑与$ y^{12}相对应的模型（\ mathbb {p}^2）$和$ q^{111} $ sasaki-einstein Spaces作为显式示例。
We use holography to compute the large-$N$ effective field theory along the moduli space of vacua of an infinite class of three-dimensional $\mathcal{N}=2$ SCFTs admitting a dual M-theory description. We focus in particular on toric models and show how the spectrum of large $R$-charge SCFT chiral scalar operators corresponds to a set of explicit semiclassical solutions of our effective field theory, which describe bound states of backreacting giant gravitons and baryonic-like M5-branes. Our semiclassical description allows for a direct computation of the scaling dimensions of these operators and provides a starting point for a semiclassical investigation of the SCFT data in the large $R$-charge sector. We consider the models corresponding to the $Y^{12}(\mathbb{P}^2)$ and $Q^{111}$ Sasaki-Einstein spaces as explicit examples.
