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arXiv 1504.02683hep-th
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自旋粒子与高自旋场方程

Spinning particles and higher spin field equations

Fiorenzo Bastianelli, Roberto Bonezzi, Olindo Corradini, Emanuele Latini

摘要:

具有较高自旋的相对论粒子可以在第一量子化中使用世界线上具有局部超对称性的作用来描述。首先,我们提出了一个简短的回顾这些行动和他们的使用在第一次量化。在狄拉克量子化方案的场方程出现狄拉克约束的希尔伯特空间,我们概述了他们如何导致更高的自旋场的描述更标准的Fronsdal-Labastida方程。然后,我们描述如何这些行动可以扩展,使传播粒子被允许采取不同的自旋值,即携带庞加莱群的可约表示。通过这种方式,人们可以识别一个四维模型,该模型具有与最小Vasiliev的相互作用更高自旋场论相同的自由度。扩展到大质量粒子和传播(A)dS空间也简要评论。

英文摘要:

Relativistic particles with higher spin can be described in first quantization using actions with local supersymmetry on the worldline. First, we present a brief review of these actions and their use in first quantization. In a Dirac quantization scheme the field equations emerge as Dirac constraints on the Hilbert space, and we outline how they lead to the description of higher spin fields in terms of the more standard Fronsdal-Labastida equations. Then, we describe how these actions can be extended so that the propagating particle is allowed to take different values of the spin, i.e. carry a reducible representation of the Poincaré group. This way one may identify a four dimensional model that carries the same degrees of freedom of the minimal Vasiliev's interacting higher spin field theory. Extensions to massive particles and to propagation on (A)dS spaces are also briefly commented upon.

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