论文标题
6D SCFTS的超级自旋链
Super-Spin Chains for 6D SCFTs
论文作者
论文摘要
几乎所有6D超符号的场理论（SCFT）都具有部分张量分支的描述，该分支描述是由长长的一维Quiver节点组成的Quiviver仪表理论，其Quiver节点的脊柱具有结合物质给出的链接；双基因高度属性的强烈耦合概括。 For theories obtained from M5-branes probing an ADE singularity, this was recently leveraged to extract a protected large R-charge subsector of operators, with operator mixing controlled at leading order in an inverse large R-charge expansion by an integrable spin $s$ Heisenberg spin chain, where $s$ is determined by the $\mathfrak{su}(2)_{R}$ R-symmetry representation of共形物质操作员。在这项工作中，我们表明，相同的结构扩展到完整的超符号代数$ \ mathfrak {osp}（osp}（6,2 | 1）$。特别是，我们确定了控制这款超级自旋链的相应的bethe ansatz方程，以及在操作员混合下关闭的杰出子行动。类似的注意事项扩展到6D小字符串理论（LST）和4D $ \ MATHCAL {N} = 2 $ scfts具有相同的概括性Quiver结构。
Nearly all 6D superconformal field theories (SCFTs) have a partial tensor branch description in terms of a generalized quiver gauge theory consisting of a long one-dimensional spine of quiver nodes with links given by conformal matter; a strongly coupled generalization of a bifundamental hypermultiplet. For theories obtained from M5-branes probing an ADE singularity, this was recently leveraged to extract a protected large R-charge subsector of operators, with operator mixing controlled at leading order in an inverse large R-charge expansion by an integrable spin $s$ Heisenberg spin chain, where $s$ is determined by the $\mathfrak{su}(2)_{R}$ R-symmetry representation of the conformal matter operator. In this work, we show that this same structure extends to the full superconformal algebra $\mathfrak{osp}(6,2|1)$. In particular, we determine the corresponding Bethe ansatz equations which govern this super-spin chain, as well as distinguished subsectors which close under operator mixing. Similar considerations extend to 6D little string theories (LSTs) and 4D $\mathcal{N} = 2$ SCFTs with the same generalized quiver structures.
