论文标题
具有1级Wess-Zumino-inter项的电磁二元性和3+1d O（6）非线性Sigma模型
The electromagnetic duality and the 3+1D O(6) non-linear sigma model with a level-1 Wess-Zumino-Witten term
论文作者
论文摘要
我们表明，在（3+1）-D时空维度中，具有1级WESS-Zumino-inter项的O（6）非线性Sigma模型表现出电磁双重性。如果我们将Sigma字段的六个组件命名为Neel和Valence-Bond-Solid（VBS）订单参数，则Neel和VBS订单的刺猬起着单极和电荷的作用。二元性对应于单极的交换，并充电，因此呈尼尔和VBS顺序的交换。单极的凝结可以触发直接的Neel $ \ leftrightarrow $ vbs相变。我们猜想临界点是自动划分的，这是对（2+1）-d中解剖量子临界点的概括。在这一理论中，存在两个解义的阶段，其中neel/vbs刺猬是巨大但成本有限的能量。这将导致两个分数化相，带有分数自旋或VBS量子数和无间隙仪表的颗粒。
We show that in (3+1)-D space-time dimensions, the O(6) non-linear sigma model, with a level-1 Wess-Zumino-Witten term, exhibits the electromagnetic duality. If we name the six components of the sigma field as the Neel and valence-bond-solid (VBS) order parameters, the hedgehogs of the Neel and VBS order play the role of monopole and charge. The duality corresponds to the exchange of monopole and charge hence the exchange of the Neel and VBS order. The condensation of monopole can trigger a direct Neel $\leftrightarrow$ VBS phase transition. We conjecture that the critical point is self-dual, which is a generalization of the deconfined quantum critical point in (2+1)-D. In this theory, there exist two deconfined phases where the Neel/VBS hedgehogs are massive but cost finite energy. This leads to two fractionalized phases with particles carrying fractional spin or VBS quantum numbers and gapless gauge bosons.
