It was shown in work \cite{vergeles2021note} that in the theory of gravity coupled with the Dirac field, each state $|λ\rangle$ has its own twin $|λ;PT\rangle$, which is obtained by a discrete PT transformation. If in the state $|λ\rangle$ the Dirac sea is filled, then in the state $|λ;PT\rangle$ there is an "anti-Dirac" filling (in terms of the state $|λ\rangle$). It is important that the energies of these states are the same. Therefore, there may be domains with different filling of the Dirac sea. Here we study a domain wall connecting two such adjacent domains.
Brane Constructions, Fractional Branes and Anti-deSitter Domain Walls
AdS 5 x X 5上的IIB型弦论的紧化，其中X 5是爱因斯坦空间，对于X 5的某些选择，可以有1/4或1/2的最大超对称性。这些理论中的一些承认奇异的畴壁产生于X5中包裹2-圈的5-膜。我们探讨这些畴壁，分数膜和膜拉伸的间隔之间的关系。包裹膜中的世界体积通量在分析中起着重要的作用。我们画了一些相似之处的AdS背景与异国情调的域壁和N=1超对称MQCD，并确定其他扩展对象的AdS侧的双膜建设。膜创建的过程是用来给分数膜和膜之间的关系的间隔的替代推导。
Domain wall skyrmions are skyrmions trapped inside a domain wall. We investigate domain wall skyrmions in chiral magnets using a fully analytic approach. Treating the Dzyaloshinskii-Moriya (DM) interaction perturbatively, we construct the low-energy effective theory of a magnetic domain wall in an $O(3)$ sigma model with the DM interaction and an easy-axis potential term, yielding a sine-Gordon model. We then construct domain wall skyrmions as sine-Gordon solitons along the domain wall. We also construct domain wall skyrmions on top of a pair of a domain wall and an anti-domain wall. One of ch…
We consider the Abelian-Higgs model in 2+1 dimensions with instanton-monopole defects. This model is closely related to the phases of quantum anti-ferromagnets. In the presence of $\mathbb{Z}_2$ preserving monopole operators, there are two confining ground states in the monopole phase, corresponding to the Valence Bond Solid (VBS) phase of quantum magnets. We show that the domain-wall carries a 't Hooft anomaly in this case. The anomaly can be saturated by, e.g., charge-conjugation breaking on the wall or by the domain wall theory becoming gapless (a gapless model that saturates the anomaly is…
We construct the ASDYM 1-solitons and multi-solitons for split signature and interpret them as soliton walls. We show that the gauge group is $\mathrm{G=SU(2)}$ for the entire intersecting soliton walls, and $\mathrm{SU(3)}$ for each soliton walls in the asymptotic region. This is joint research partially with Masashi Hamanaka, Claire R. Gilson, and Jonathan Nimmo.
