具有螺旋度对应的CSP场论
A CSP Field Theory with Helicity Correspondence
摘要：
我们提出了第一个协变局部行动描述一个单一的自由连续自旋自由度的传播。这个理论可以简单地表述为“向量超空间”中的规范理论，但也可以表述为对称张量规范场的塔。当自旋不变量$ρ$消失时，螺旋度对应是明显的--熟悉的规范理论作用被恢复，并且可以很容易地引入守恒电流的耦合。对于非零$ρ$，必须存在一个张量流塔，其中只有最低秩是完全守恒的。非零$ρ$的局部规范不变算子的缺乏表明，在自由理论的规范对称性的推广下，任何相互作用理论中的运动方程都应该是协变的，而不是不变的。
英文摘要：
We propose the first covariant local action describing the propagation of a single free continuous-spin degree of freedom. The theory is simply formulated as a gauge theory in a "vector superspace", but can also be formulated in terms of a tower of symmetric tensor gauge fields. When the spin invariant $ρ$ vanishes, the helicity correspondence is manifest -- familiar gauge theory actions are recovered and couplings to conserved currents can easily be introduced. For non-zero $ρ$, a tower of tensor currents must be present, of which only the lowest rank is exactly conserved. A paucity of local gauge-invariant operators for non-zero $ρ$ suggests that the equations of motion in any interacting theory should be covariant, not invariant, under a generalization of the free theory's gauge symmetry.
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