In the framework of light-cone gauge approach, bosonic and fermionic mixed-symmetry continuous-spin fields in AdS space and flat space are considered. For such fields, the light-cone gauge actions are found. Realization of relativistic symmetries of AdS and flat spaces on the continuous-spin fields is also presented. Simple realization of spin operators is found. With respect to vector variable entering the continuous-spin fields, the spin operators for the fields in flat space turn out to be first-order differential operators, while, for the fields in AdS space, the spin operators are realized as the second-order differential operators. By product, we obtain also the simple description of triplectic mixed-symmetry continuous-spin fields.

在光锥规范方法的框架内，考虑了 AdS 空间和平坦空间中的玻色子和费米子混合对称连续自旋场。对于这样的场，可以找到光锥规范作用。还介绍了在连续自旋场上实现 AdS 和平坦空间的相对论对称性。找到了自旋算子的简单实现。对于进入连续自旋场的向量变量，平坦空间场的自旋算子是一阶微分算子，而 AdS 空间场的自旋算子实现为二阶微分算子微分运算符。通过产品，我们还获得了三重混合对称连续自旋场的简单描述。