发表机构
Center for High Energy Physics, Indian Institute of Science（印度科学学院高能物理中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该文提出以BF理论为骨架，通过胶合一致性自举构建量子引力，连接AdS/CFT与自旋泡沫，并推广至德西特空间。
AI 中文摘要
我们认为，具有SO(d+1,1)规范群的BF理论提供了一个SymTFT“骨架”，用于通过胶合一致性作为自举原理来构建AdS_{d+1}/CFT_d对，这大致类似于紧致陈-西蒙斯理论作为有理CFT的TQFT骨架。这是一个非微扰的量子引力体（bulk）框架。自举被表述为在普适的、缺陷封闭的BF缝合演算中物理振幅的表示无关性，该演算包括威尔逊线、余维二单值缺陷及其连接点。平坦的BF联络编码了边界的共形几何，而威尔逊线路径积分则构建了候选的量子引力微观态和电荷扇区。当自举谱具有应力张量时，Ward恒等式自然将其与B场联系起来，我们称这种关系为广义简单性。在允许引力有效场论的大N、大能隙区域中，这促使引入B场的有效概念。在爱因斯坦极限下，这成为自旋泡沫模型中使用的“简单性”关系。传统的自旋泡沫模型通过约束BF理论来达到引力。我们建议，相反，BF理论是柏拉图式的缝合骨架，理论应从其出发进行自举。尽管骨架具有拓扑性质，微扰的局域体场可以通过多迹线初级场的威尔逊塔涌现，并重现其单圈行列式。我们注意到，BF傅里叶核是模S结构的一个启发性的高维类比。由于体胶合原理本身并不要求边界描述，该框架在概念上比AdS/CFT更广泛。我们勾勒了德西特空间如何融入这一图景，并赋予观测者自然角色。我们的方法将胶合一致性提升为量子引力理论之下的普适体原理。
英文摘要
We argue that BF theory with $SO(d+1,1)$ gauge group provides a SymTFT ''skeleton'' for building AdS$_{d+1}$/CFT$_d$ pairs via gluing consistency as the bootstrap principle, loosely analogous to how compact Chern-Simons theory is a TQFT skeleton for rational CFTs. This is a non-perturbative $bulk$ framework for quantum gravity. The bootstrap is formulated as presentation independence of physical amplitudes within a universal, defect-closed BF sewing calculus, which includes Wilson lines, codimension-two monodromy defects, and their junctions. The flat BF connection encodes the conformal geometry of the boundary, while Wilson-line path integrals construct candidate quantum-gravity microstates and charge sectors. When the bootstrapped spectrum has a stress tensor, Ward identities naturally connect it to the $B$-field, a relation we call generalized simplicity. In large-$N$, large-gap regimes admitting a gravitational EFT, this motivates the introduction of an effective notion of the $B$-field. In the Einstein limit, this becomes the ''simplicity'' relation used in spin-foam models. Conventional spin-foam models reach gravity by constraining BF theory. We suggest instead that BF theory is the Platonic sewing skeleton, from which theories are to be bootstrapped. Despite the topological nature of the skeleton, perturbative local bulk fields can emerge via Wilson-towers of multi-trace primaries, reproducing their one-loop determinants. We note that the BF Fourier kernel is a suggestive higher-dimensional analogue of the modular-$S$ structure. Because the bulk gluing principle in itself does not require a boundary description, the framework is conceptually broader than AdS/CFT. We sketch how de Sitter space may fit into this picture, with a natural role for observers. Our approach elevates gluing consistency to a universal bulk principle underlying theories of quantum gravity.
Comments58 pages
