论文标题
来自全息和麸皮的不可变形对称性
Non-Invertible Symmetries from Holography and Branes
论文作者
论文摘要
我们提出了一种系统的方法，用于在全息图中得出量子场理论的对称发生器。这是对对称拓扑场理论（Symtfts）的哈密顿量化中的高斯定律约束，这些约束是从超级实现的。反过来，我们意识到全息图中D-Branes理论的对称发生器。我们的主要重点是不可变形的对称性，在过去的一年中，它们是$ d \ geq 4 $ qfts中的一种新型对称性。我们在全息限制设置中举例说明了我们的提议，双向4D $ \ MATHCAL {n} = 1 $ SUPER-YANG MILLS。在Brane-picture中，不可逆转的对称性的融合自然源于迈尔斯对D-branes的效果。反过来，他们在线路缺陷上的作用是由汉纳尼 - 理工效应建模的。
We propose a systematic approach to deriving symmetry generators of Quantum Field Theories in holography. Central to this are the Gauss law constraints in the Hamiltonian quantization of Symmetry Topological Field Theories (SymTFTs), which are obtained from supergravity. In turn we realize the symmetry generators from world-volume theories of D-branes in holography. Our main focus is on non-invertible symmetries, which have emerged in the past year as a new type of symmetry in $d\geq 4$ QFTs. We exemplify our proposal in the holographic confinement setup, dual to 4d $\mathcal{N}=1$ Super-Yang Mills. In the brane-picture, the fusion of non-invertible symmetries naturally arises from the Myers effect on D-branes. In turn, their action on line defects is modeled by the Hanany-Witten effect.
