论文标题
$ \ MATHCAL {n} = 2 $双重性
Nonrelativistic strings and the limits of $ \mathcal{N}=2 $ dualities
论文作者
论文摘要
我们对$ \ Mathcal {n} = 2 $ gaiotto-maldacena类的非同性（NR）F弦理论的表述进行了IIA型超级重力的类别。考虑到NS-NS扇区，我们将IIA型理论降低为NR Sigma模型，这些模型是在称为扭转弦newton-cartan（TSNC）背景的非依赖性目标空间几何形式上配制的。使用这些TSNC数据，我们写下Sigma模型动作，并在半经典限制中探索几个属性。特别是，我们对TSNC背景中的T-二 - 偶数转换规则进行了\ emph {canonical}分析。按照获得T偶尔转换的标准规范处方，我们将这些TSNC Sigma模型映射到相对论的Sigma模型，这些模型在一般相对论背景上传播。最后，我们详细讨论了添加\ emph {float} branes的效果，从而在$ \ mathcal {n} = 2 $ quivers的大量描述中采取相应的TSNC限制。我们在非依赖性极限中计算各种田间理论可观察到的物体，并概述了$ \ Mathcal {n} = 2 $ sym理论之后NR Lagrangian的结构。
We carry out the formulation of nonrelativistic (NR) F-string theory for $ \mathcal{N}=2 $ Gaiotto-Maldacena class of geometries in type IIA supergravity. Considering the NS-NS sector, we reduce the type IIA theory into the NR sigma models those are formulated over the nonrelativistic target space geometries known as the torsional String Newton-Cartan (TSNC) backgrounds. Using these TSNC data, we write down the sigma model action and explore several properties in the semiclassical limit. In particular, we carry out the \emph{canonical} analysis of the T-duality transformation rules in TSNC background. Following the standard canonical prescription of obtaining T-duality transformations, we map these TSNC sigma models to relativistic sigma models propagating over general relativity backgrounds. Finally, we conclude with a detailed discussion on the effects of adding \emph{flavour} branes and thereby taking the corresponding TSNC limit in the bulk description of $ \mathcal{N}=2 $ quivers. We compute various field theory observables in the nonrelativistic limit and outline the structure of the NR Lagrangian following the light cone reduction of $ \mathcal{N}=2 $ SYM theory.
