扩展的纽结量子引力态

The extended knot states under the representation of the diffeomorphism group

给出了微分同胚群的表示 .以扩展的Gauss不变量 φG 和Jones多项式第二个系数J2 为基本片段 ,构造了满足齐次微分同胚约束 (D 约束 )的扩展knot不变量引力态 φG J2 ,( J2 ) 2 和 ( φG) 2 J2 .得到了它们的具体表式 ,并通过具体计算 ,给出了它们满足齐次D 约束的证明 .

After giving a non trivial representation of the diffeomorphism group, using the extended Gauss knot invariant φ G and the second coefficient of the Jones polynomial J 2 as the basic blocks, we have constructed the extended knot invariant gravity states φ G * J 2,(*J 2 ) 2 and(* φ G) 2* J 2.They satisfy the homogeneous diffeomorphism constraint ( D constraint). And we gave a detailed demonstration for them.