标度协变全息

中文摘要 AI 辅助

我们探索了由D$p$-膜的反作用产生的广阔标度协变弦背景景观。在合适的Weyl标架下，度规具有AdS因子，而膨胀子具有非平凡轮廓。这一结构提供了标度协变的概念，便于进行全息分析，并为研究对偶强耦合非共形规范理论的动力学提供了一个窗口。我们给出了此类超引力解的不同类别，并讨论了它们的对偶场论诠释。通过利用四维规范超引力、在紧致流形上缠绕的D$p$-膜以及直接在十维中构造的无限族，我们发现了若干由D2-膜产生的新超对称背景。我们在一些新的超对称背景之间构造了全息重整化群流，并计算了低能局域算符的谱。全息原理决定了热自由能和标量两点函数等可观测量的形式，这些预言可以在格点上进行检验。

英文摘要

We explore a vast landscape of scale-covariant string backgrounds that arise from the backreaction of D$p$-branes. In a convenient Weyl frame the metric has an AdS factor and the dilaton has a non-trivial profile. This structure provides a notion of scale covariance that facilitates a holographic analysis and provides a window into the dynamics of the dual strongly coupled non-conformal gauge theory. We present different classes of supergravity solutions of this kind and discuss their dual field theory interpretation. We find several new supersymmetric backgrounds arising from D2-branes by utilizing four-dimensional gauged supergravity, D$p$-branes wrapped on compact manifolds, and infinite families constructed directly in ten dimensions. We construct holographic RG flows between some of the new supersymmetric backgrounds and compute the spectrum of low-lying local operators. Holography determines the form of observables such as the thermal free energy and scalar two-point functions, predictions which could be tested on the lattice.

发表机构

• KU Leuven（荷语鲁汶大学）
• Deutsches Elektronen-Synchrotron DESY（德国电子同步加速器）
• University of Southampton（南安普顿大学）

机构由 AI 辅助整理，请以论文原文为准。