论文标题
Vielbein具有混合尺寸和重力全球单极，在超级流体的平面阶段$^3 $ HE
Vielbein with mixed dimensions and gravitational global monopole in the planar phase of superfluid $^3$He
论文作者
论文摘要
超氟$^3 $的平面阶段他在动量空间中具有狄拉克点，而在真实空间中的狄拉克单子的类似物。在这里，我们讨论了Dirac Point和Dirac Monopole的综合效果。结果表明，在单极存在的情况下，作用于Dirac费米子上的有效度量对应于整体单极在一般相对论中产生的度量：它是圆锥指标。另一个结果是，产生有效度量的主要变量是以$ 4 \ times 5 $矩阵的形式出现的不寻常的Vielbein字段，与Tetrad Reverity中Tetrad Field的常规$ 4 \ times 4 $矩阵不同。
The planar phase of superfluid $^3$He has Dirac points in momentum space and the analog of Dirac monopole in the real space. Here we discuss the combined effect of Dirac point and Dirac monopole. It is shown that in the presence of the monopole the effective metric acting on Dirac fermions corresponds to the metric produced by the global monopole in general relativity: it is the conical metric. Another consequence is that the primary variable, which gives rise to the effective metric, is the unusual vielbein field in the form of the $4\times 5$ matrix, as distinct from the conventional $4\times 4$ matrix of the tetrad field in tetrad gravity.
