论文标题
免费费米子，顶点汉密尔顿人和较低维度的广告/CFT
Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
论文作者
论文摘要
在本文中，我们首先要明确证明，最近在PRL 125（2020）031604中引入的可集成的最近邻居汉密尔顿人的新模型满足了所谓的免费费米昂条件。这两者都意味着所有这些模型都可以作为自由费用理论的重新制定，并确定了这种情况的普遍性。我们使用Bogoliubov变换以自由费用形式的自由费形式明确重铸转移矩阵，并使用Bogoliubov变换，并在8-Vertex扇区的两个地点重塑转移矩阵。然后，我们将这种观察结果用于ADS/CFT集成R-Matrices的较低维度，特别是纯Ramond-Ramond sass_3，混合频率相对论ADS_3和无质量ADS_2。我们还使用免费的费米昂机械攻击类似于ADS_5的模型类。在所有情况下，我们都会使用自由的费米昂实现来极大地简化和重新解释大量已知结果，并在所有这些情况下对光谱问题进行非常启发性的重新重新制定。
In this paper we first demonstrate explicitly that the new models of integrable nearest-neighbour Hamiltonians recently introduced in PRL 125 (2020) 031604 satisfy the so-called free fermion condition. This both implies that all these models are amenable to reformulations as free fermion theories, and establishes the universality of this condition. We explicitly recast the transfer matrix in free fermion form for arbitrary number of sites in the 6-vertex sector, and on two sites in the 8-vertex sector, using a Bogoliubov transformation. We then put this observation to use in lower-dimensional instances of AdS/CFT integrable R-matrices, specifically pure Ramond-Ramond massless and massive AdS_3, mixed-flux relativistic AdS_3 and massless AdS_2. We also attack the class of models akin to AdS_5 with our free fermion machinery. In all cases we use the free fermion realisation to greatly simplify and reinterpret a wealth of known results, and to provide a very suggestive reformulation of the spectral problem in all these situations.
