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arXiv 2608.16091math.RTmath-phmath.MPmath.QA

分离余切型与正交辛箭图的量子库仑分支

Quantized Coulomb Branches of Separated Cotangent Type and Orthosymplectic Quivers

Yaolong Shen, Changjian Su, Rui Xiong

AI总结:

该研究提出分离余切型量子库仑分支的定义,证明其经典构造可恢复非余切型库仑分支,推导拟极小单极算子公式,计算正交辛箭图的单极算子并构造了相关代数同态。

AI中文摘要:

我们提出了分离余切型量子库仑分支的定义,并证明对应的经典构造可恢复非余切型库仑分支。我们还得到了任意余切型下拟极小单极算子的公式。应用这些结果,我们计算了正交辛箭图的单极算子,并构造了从分裂ADE型的移位扭曲杨子代数到对应量子库仑分支代数的同态。

英文摘要:

We propose a definition of the quantized Coulomb branches of separated cotangent type, and prove that the corresponding classical construction recovers the non-cotangent Coulomb branch. We also obtain a formula for quasi-minuscule monopole operators in arbitrary cotangent type. Applying these results, we compute the monopole operators for orthosymplectic quivers and construct a homomorphism from the shifted twisted Yangian of split ADE type to the corresponding quantized Coulomb branch algebra.

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