论文标题
$ de $ -type的小字符串
$DE$-type little strings from glued brane webs
论文作者
论文摘要
我们建议使用$ d $ -type和$ e $ -type $ \ Mathcal {n} =（1,0）$小字符串理论的Brane Web配置，基于5-Brane Web图的三价或四价粘合。 Tri-/Quadri-Valent胶合是计算基于拓扑顶点的超对称规格理论的5D/6D分区函数的有力方法。我们通过引入一个新的紧凑方向并在Omega-pemented的$ \ Mathbb {R}^4 \ times t^2 $上计算其超对称分区功能，从而将粘合技术推广到小字符串理论。作为具体的示例，我们考虑了IIB型NS5-branes型引起的几乎没有弦理论，探测$ d_4 $或$ d_5 $ singularity。他们的有效量规理论描述作为仿射$ d_4 $或$ d_5 $ QUIVER GAUGE理论可以分别用四价或三价粘合来实现。基于这些5个大国网的粘合，我们计算了它们的精制分区功能，并将其与已知结果进行比较。我们将分区函数的计算扩展到了从IIB NS5-BRANES设计的小字符串理论，这些弦乐基于三价粘合而探测$ e_6 $奇异性。我们还讨论了对较高等级案例的概括和分区功能的对称性。
We propose brane web configurations for $D$-type and $E$-type $\mathcal{N}=(1,0)$ little string theories based on a trivalent or quadrivalent gluing of 5-brane web diagrams. Tri-/quadri-valent gluing is a powerful way of computing 5d/6d partition functions for supersymmetric gauge theories based on the topological vertex. We generalize the gluing techniques to little string theories by introducing a new compact direction and compute their supersymmetric partition functions on Omega-deformed $\mathbb{R}^4\times T^2$. As concrete examples, we consider little string theories arising from Type IIB NS5-branes probing $D_4$ or $D_5$ singularity. Their effective gauge theory descriptions as the affine $D_4$ or $D_5$ quiver gauge theory can be realized with quadrivalent or trivalent gluing, respectively. Based on these gluings of 5-brane webs, we compute their refined partition functions and compare them with the known results. We extend the computation of the partition function to little string theory engineered from IIB NS5-branes probing $E_6$ singularity based on a trivalent gluing. We also discuss the generalization to higher rank cases and the symmetries of the partition functions.
