论文标题
张量模型的背景:提案
Backgrounds from Tensor Models: A Proposal
论文作者
论文摘要
尽管张量模型是量子重力理论的严肃候选者,但到目前为止,与经典的空间的联系是难以捉摸的。本文旨在通过在经典层面提出张量理论和欧几里得重力之间的整洁联系来填补这一空白。与通常的方法的主要不同是将Schur不变性(而不是单一不变的)用作流形合作伙伴。可以在此新设置的张量侧自然识别古典时空功能。显示了一个局部性的概念,可以通过病房身份出现,其中时空点之间的接近度转化为年轻图角之间的附近。
Although tensor models are serious candidates for a theory of quantum gravity, a connection with classical spacetimes have been elusive so far. This paper aims to fill this gap by proposing a neat connection between tensor theory and Euclidean gravity at the classical level. The main departure from the usual approach is the use of Schur invariants (instead of monomial invariants) as manifold partners. Classical spacetime features can be identified naturally on the tensor side in this new setup. A notion of locality is shown to emerge through Ward identities, where proximity between spacetime points translates into vicinity between Young diagram corners.