论文标题
封闭的发条理论：$ \ mathbb {z} _2 $同性等等
A closed clockwork theory: $\mathbb{Z}_2$ parity and more
论文作者
论文摘要
我们开发了一种新的发条理论，并具有沿一维封闭链的接近邻次相互作用的增强结构。除了通过通常的发条机制生成具有层次耦合的光状态外，这种拓扑结构还带来了新的和吸引人的功能。首先，出现了一个$ \ mathbb {z} _2 $对称性，在磁场交换下，导致物理光谱分别由状态组成，在交换奇偶校验下，在每个级别的交换奇偶校验下，在交换奇偶校验下，在每个级别上都有两倍的变性。绝对稳定的最轻的奇数可以作为潜在的暗物质候选者。该理论也可以作为对五维理论的解构，该理论嵌入了由线性dilaton理论产生的几何形状中，这些理论在$ s^1/\ mathbb {z} _2 $ orbifold上具有三种等差3-溴。类似于离散图片，批量理论中的$ \ mathbb {z} _2 $对称性必须存在均匀和奇数状态的kk频谱，并且在受到某些边界条件的约束时，每个KK级别都具有双重变性模式。
We develop a new class of clockwork theories with an augmented structure of the near-neighbour interactions along a one-dimensional closed chain. Such a topology leads to new and attractive features in addition to generating light states with hierarchical couplings via the usual clockwork mechanism. For one, there emerges a $\mathbb{Z}_2$ symmetry under the exchange of fields resulting in a physical spectrum consisting of states, respectively even and odd under the exchange parity with a two-fold degeneracy at each level. The lightest odd particle, being absolutely stable, could be envisaged as a potential dark matter candidate. The theory can also be obtained as a deconstruction of a five-dimensional theory embedded in a geometry generated by a linear dilaton theory on a $S^1/\mathbb{Z}_2$ orbifold with three equidistant 3-branes. Analogous to the discrete picture, the $\mathbb{Z}_2$ symmetry in the bulk theory necessitates the existence of a KK spectrum of even and odd states, with doubly degenerate modes at each KK level when subject to certain boundary conditions.
