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Coulomb Branch of a Multiloop Quiver Gauge Theory
Functional Analysis and Its Applications ( IF 0.6 ) Pub Date : 2020-01-27 , DOI: 10.1134/s0016266319040014
E. A. Goncharov , M. V. Finkelberg

We compute the Coulomb branch of a multiloop quiver gauge theory for the quiver with a single vertex, r loops, one-dimensional framing, and dim V = 2. We identify it with a Slodowy slice in the nilpotent cone of the symplectic Lie algebra of rank r. Hence it possesses a symplectic resolution with 2r fixed points with respect to a Hamiltonian torus action. We also identify its flavor deformation with a base change of the full Slodowy slice.

中文翻译:

多回路颤动计理论的库仑分支

我们为单顶点,r环,一维成帧和昏暗的V = 2的颤动计算多颤动颤动规范理论的库仑分支。我们在辛李代数的零幂锥中用Slodowy切片识别它。秩[R 。因此,它具有关于汉密尔顿环面作用的具有2 r个不动点的辛分辨率。我们还通过整个Slodowy切片的基本变化来确定其风味变形。
更新日期:2020-01-27
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