论文标题

Fracton类型量规理论中的涡流

Vortices in fracton type gauge theories

论文作者

Lozano, G., Schaposnik, F. A.

论文摘要

我们考虑了Radzihovsky和Hermele [1]最近提出的类型的2 + 1个维度的矢量规论来描述物质的分裂阶段。该理论具有u(1)XU(1)矢量量规场,并与非常规规格对称性相连。我们添加到理论标量物质中,以打破量规对称性。我们通过将字段方程减少到我们通过数值求解的一阶自我双重(BPS)方程来分析非微不足道的配置。我们发现了量规场的涡流解决方案,而涡流场又为可以与磁性偶极子相关的额外矢量场非平底配置生成。

We consider a vector gauge theory in 2 + 1 dimensions of the type recently proposed by Radzihovsky and Hermele [1] to describe fracton phases of matter. The theory has U(1)XU(1) vector gauge fields coupled to an additional vector field with a non conventional gauge symmetry. We added to the theory scalar matter in order to break the gauge symmetry. We analyze non trivial configurations by reducing the field equations to first order self dual (BPS) equations which we solved numerically. We have found vortex solutions for the gauge fields which in turn generate for the extra vector field non-trivial configurations that can be associated to magnetic dipoles.

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