A new super-exceptional embedding construction of the heterotic M5-brane's sigma-model was recently shown to produce, at leading order in the super-exceptional vielbein components, the super-Nambu-Goto (Green-Schwarz-type) Lagrangian for the embedding fields plus the Perry-Schwarz Lagrangian for the free abelian self-dual higher gauge field. Beyond that, further fields and interactions emerge in the model, arising from probe M2- and probe M5-brane wrapping modes. Here we classify the full super-exceptional field content and work out some of its characteristic interactions from the rich super-exceptional Lagrangian of the model. We show that $\mathrm{SU}(2)\times \mathrm{U}(1)$-valued scalar and vector fields emerge from probe M2- and M5-branes wrapping the vanishing cycle in the ${\mathrm{A}}_1$-type singularity; together with a pair of spinor fields of $U(1)$-hypercharge ±1 and each transforming as $\mathrm{SU}(2)$ iso-doublets. Then we highlight the appearance of a WZW-type term in the super-exceptional PS-Lagrangian and find that on the electromagnetic field it gives the first-order non-linear DBI-correction, while on the iso-vector scalar field it has the form characteristic of the coupling of vector mesons to pions via the Skyrme baryon current. We discuss how this is suggestive of a form of $\mathrm{SU}(2)$-flavor chiral hadrodynamics emerging on the single ($N=1$) M5 brane, different from, but akin to, holographic large-N QCD.

杂种优势 M5 膜 sigma 模型的一种新的超异常嵌入结构最近被证明可以在超异常 vielbein 组件的领先顺序中产生用于嵌入的超南布-戈托（Green-Schwarz 型）拉格朗日函数场加上 Perry-Schwarz Lagrangian 以获得自由阿贝尔自对偶更高规范场。除此之外，模型中出现了进一步的场和相互作用，由探针 M2-和探针 M5-膜包裹模式引起。在这里，我们对完整的超异常场内容进行分类，并从模型的丰富超异常拉格朗日量中计算出它的一些特征相互作用。我们证明$\mathrm{苏}(2)\times \mathrm{你}(1)$-值标量和矢量场从探针 M2-和 M5-膜中出现，将消失循环包裹在 ${\mathrm{一}}_1$- 类型奇点；连同一对旋量场$你(1)$-hypercharge ±1 并且每个转换为 $\mathrm{苏}(2)$异双峰。然后我们突出了超异常 PS-Lagrangian 中 WZW 型项的出现，发现在电磁场上它给出了一阶非线性 DBI 校正，而在等矢量标量场上它有形成矢量介子与介子通过 Skyrme 重子电流耦合的特征。我们讨论这如何暗示一种形式$\mathrm{苏}(2)$- 单曲上出现的风味手性强动力学（$N=1$) M5 膜，不同于但类似于全息大N QCD。