Quantized Coulomb branches of Jordan quiver gauge theories and cyclotomic rational Cherednik algebras

2016/08/02 by Kodera, Ryosuke, Nakajima, Hiraku · 1 citation
#Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1608.00875

Abstract

We study quantized Coulomb branches of quiver gauge theories of Jordan type. We prove that the quantized Coulomb branch is isomorphic to the spherical graded Cherednik algebra in the unframed case, and is isomorphic to the spherical cyclotomic rational Cherednik algebra in the framed case. We also prove that the quantized Coulomb branch is a deformation of a subquotient of the Yangian of the affine \mathfrakgl(1).

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• Galois Rings, Coulomb branches and the Gelfand-Kirillov Conjecture

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