反支配移位广义Yangians的有理Lax矩阵:BCD型
Rational Lax matrices from antidominantly shifted extended Yangians: BCD types
摘要:
推广我们最近与Vasily Pestun(arXiv:2001.04929)的联合论文,我们构造了一个家庭的$SO(2r),Sp(2r),SO(2r+1)$有理Lax矩阵,多项式的频谱参数,参数化的因子的投影线与系数是主导的积分余权的相关李代数。为此,我们提供了RTT实现的反显性移位的扩展Drinfeld杨氏的$\mathfrak{so}_{2r}, \mathfrak{sp}_{2r}, \mathfrak{so}_{2r+1}$,和他们的余积同态。这建立了Costello-Gaiotto-Yagi(arXiv:2103.01835)在经典类型物理学文献中的一些最新成果。
英文摘要:
Generalizing our recent joint paper with Vasily Pestun (arXiv:2001.04929), we construct a family of $SO(2r),Sp(2r),SO(2r+1)$ rational Lax matrices, polynomial in the spectral parameter, parametrized by the divisors on the projective line with coefficients being dominant integral coweights of associated Lie algebras. To this end, we provide the RTT realization of the antidominantly shifted extended Drinfeld Yangians of $\mathfrak{so}_{2r}, \mathfrak{sp}_{2r}, \mathfrak{so}_{2r+1}$, and of their coproduct homomorphisms. This establishes some of the recent conjectures in the physics literature by Costello-Gaiotto-Yagi (arXiv:2103.01835) in the classical types.
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