论文标题
4D Chern-Simons理论的微小ABCDE LAX操作员
Minuscule ABCDE Lax Operators from 4D Chern-Simons Theory
论文作者
论文摘要
使用具有微小CowEights的量规对称$ G $的4D Chern-Simons（CS）理论，我们开发了合适的操作员基础，以处理满足RLL方程的可集成旋转链的LAX操作员的明确计算。使用此基础，我们得出了由量表对称a $ _ {n} $，b $ _ {n} $，c $ _ {n} $，c $ _ {n} $，d $ _ {n} $，e $ _ $ _ $ _ $ _ {6} $ _} $ _ {7} $ _}的$ _ {n} $} $ _ {7 $ _________________的7} $ ______________的7} $我们还完成了有关非简单绑带$ so_ {2n+1} $和$ sp_ {2n} $量规符号的丢失结果，并对它们的内在功能发表评论。此外，我们研究了（a-，d-）lax运算符和（c-，b-）同源物之间Yangian自旋链研究中报道的链接的特性。我们表明，这些链接是由于显式解决的离散外部自动形态对称性所致。
Using 4D Chern-Simons (CS) theory with gauge symmetry $G$ having minuscule coweights, we develop a suitable operator basis to deal with the explicit calculation of the Lax operator of integrable spin chain satisfying the RLL equation. Using this basis, we derive the oscillator realisations of the full list of the minuscule L-operators which are classified by the gauge symmetries A$_{N}$, B$_{N}$, C$_{N}$, D$_{N}$, E$_{6}$, E$_{7}$. We also complete missing results regarding the non simply laced $SO_{2N+1}$ and $SP_{2N}$ gauge symmetries and comment on their intrinsic features. Moreover, we investigate the properties of links reported in Yangian spin chain studies between the (A-,D-) Lax operators and the (C-,B-) homologue. We show that these links are due to discrete outer-automorphism symmetries that are explicitly worked out.
