Dualties in string theory and field theory

二元性在物理学中起着核心作用。在这个项目中，我们将考察场论和弦理论中的对偶性。我们首先将重点放在三维规范场理论(三维量子色动力学，3D QCD)上。我们将使用的工具有：大N极限，全息术。更具体地说，我和里卡多开始研究Sp(2N)和SO(2N)规范群的3D QCD。我们的目的是了解这些规范场理论在大N极限(‘t Hooft极限)下的动力学。我们计划用全息术来解决这个问题。双引力背景下弦和膜的动力学将告诉我们双场理论的真空结构。

Dualities play a central role in physics. They offer a dual description of the same phenomenon, using two different variables.In this project we will examine dualities in both field theory and string theory.We will focus, initially, on three dimensional gauge field theories (Quantum Chromodynamics in three dimensions, 3d QCD).The tools we will use are: large-N limit, holography.More specifically, Ricardo and I started to carry out research in 3d QCD with a gauge group Sp(2N) and SO(2N). Our aim is to understand the dynamics of these gauge field theories in the large-N limit ('t Hooft limit).We plan to use holography to address this problem. The dynamics of strings and branes in the dual gravity background will teach us about the vacuum structure of the dual field theory.