论文标题
6D SCFTS中的量子构造
Qubit Construction in 6D SCFTs
论文作者
论文摘要
我们考虑具有较大$ n $限制和半古典重力双重描述的6D超符合字段理论（SCFTS）。使用6D SCFTS的Quiver样结构，我们研究了一个免受大型操作员混合的操作员的子部门。这些操作员以一维自旋链中的自由度为特征，相关状态通常是高度纠缠的。这在强耦合量子场理论中提供了量子样状态的具体实现。由6D UV固定点的变形触发的重新归一化组流量转化为这些一维自旋链的特定变形。我们还提出了一个猜想的自旋链哈密顿量，它跟踪这些状态的演变，这是重新归一化组流量的函数，并在这种情况下进行了研究量子操作。对于没有$ AD $ duals的理论，例如6D小字符串理论和4D SCFT从$ t^2 $上的部分张量分支理论获得的类似考虑。
We consider a class of 6D superconformal field theories (SCFTs) which have a large $N$ limit and a semi-classical gravity dual description. Using the quiver-like structure of 6D SCFTs we study a subsector of operators protected from large operator mixing. These operators are characterized by degrees of freedom in a one-dimensional spin chain, and the associated states are generically highly entangled. This provides a concrete realization of qubit-like states in a strongly coupled quantum field theory. Renormalization group flows triggered by deformations of 6D UV fixed points translate to specific deformations of these one-dimensional spin chains. We also present a conjectural spin chain Hamiltonian which tracks the evolution of these states as a function of renormalization group flow, and study qubit manipulation in this setting. Similar considerations hold for theories without $AdS$ duals, such as 6D little string theories and 4D SCFTs obtained from compactification of the partial tensor branch theory on a $T^2$.
