论文标题
BMS不变的免费费米型模型
A BMS-invariant free fermion model
论文作者
论文摘要
我们使用cartan形式主义来构建与Galilean或Carrollian对称性和刚性缩放对称性兼容的典型模型。自由的Carrollian Fermion模型表现出共形的Carrollian对称性，这与三个维度的平面时空的渐近对称性是同构的，即BMS $ _3 $对称性。我们对这个自由的BMS费物模型进行了规范量化，讨论了最高的权重真空和诱导的真空，计算了相关函数和圆环分区函数。最后，我们通过组合免费的费米昂模型和自由标量模型来构建$ \ MATHCAL N = 2 $超对称理论。
We used the Cartan formalism to construct fermionic models that are compatible with Galilean or Carrollian symmetry and rigid scaling symmetry. The free Carrollian fermion model exhibits conformal Carrollian symmetry which is isomorphic to the asymptotic symmetries for flat spacetime in three dimensions, namely the BMS$_3$ symmetry. We performed canonical quantization to this free BMS fermion model, discussed both the highest weight vacuum and the induced vacuum, calculated the correlation functions and the torus partition function. Finally we constructed $\mathcal N=2$ supersymmetric theories by combining the free fermion model and the free scalar model.
