论文标题
不利的Schobers和红外线代数
Perverse schobers and the Algebra of the Infrared
论文作者
论文摘要
我们将gaiotto-moore-witter的红外表示代数与不正当的探索者理论(一般来说)的分类类似物(一般来说)的分类类似物相关联。可以将复杂平面C上的一个合理的schober视为一个代数结构,可以编码二维超对称场理论的各种类别的D-溴,以及此类类别之间的相互作用(隧道)。我们表明,一旦我们在C上拥有Schober。这些构造可以看作是为模拟的各种特征,对于Schobers,几何傅立叶变换的多种特征,可以将红外代数的许多构建体开发。
We relate the Algebra of the Infrared of Gaiotto-Moore-Witten with the theory of perverse schobers which are (conjectural, in general) categorical analogs of perverse sheaves. A perverse schober on a complex plane C can be seen as an algebraic structure that can encode various categories of D-branes of a 2-dimensional supersymmetric field theory, as well as the interaction (tunnelling) between such categories. We show that many constructions of the Algebra of the Infrared can be developed once we have a schober on C. These constructions can be seen as giving various features of the analog, for schobers, of the geometric Fourier transform well known for D-modules and perverse sheaves.