结和前子
Knots and Preons
摘要：
证明了由量子代数SL_q（2）的不可约表示D^{3/2}_{mm '}描述的四个三叶形孤子（可以与四个基本费米子族（e，μ，τ;ν_eν_μν_τ;d，s，b;u，c，t）相对应）可以由三个前子构成，这三个前子选自两个带电荷（1/3，-1/3）的前子和两个中性前子.这些前子是Lorentz旋量，用SL_q（2）的D^{1/2}_{mm '}表示来描述。还有四个玻色子前子，分别用SL_q（2）的D^1_{mm '}和D^0_{00}表示来描述.打结标准理论可以在前子水平上重复，打结粒子原则上是间接可观察的。
英文摘要：
It is shown that the four trefoil solitons that are described by the irreducible representations D^{3/2}_{mm'} of the quantum algebra SL_q(2) (and that may be identified with the four families of elementary fermions (e,μ,τ;ν_eν_μν_τ;d,s,b;u,c,t) may be built out of three preons, chosen from two charged preons with charges (1/3,-1/3) and two neutral preons. These preons are Lorentz spinors and are described by the D^{1/2}_{mm'} representation of SL_q(2). There are also four bosonic preons described by the D^1_{mm'} and D^0_{00} representations of SL_q(2). The knotted standard theory may be replicated at the preon level and the conjectured particles are in principle indirectly observable.
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