Université Libre de Bruxelles and International Solvay Institutes, ULB-Campus Plaine, C.P. 231, 1050 Brussels, Belgium.
Department of Physics, Princeton University, Princeton, New Jersey 08544, USA and Université Libre de Bruxelles and International Solvay Institutes, ULB-Campus Plaine, C.P. 231, 1050 Brussels, Belgium.
Phys Rev Lett. 2018 Oct 26;121(17):171604. doi: 10.1103/PhysRevLett.121.171604.
We present a no-go result on consistent Noether interactions among higher-spin gauge fields on anti-de Sitter space-times. We show that there is a nonlocal obstruction at the classical level to consistent interacting field theory descriptions of massless higher-spin particles that are described in the free limit by the free Fronsdal action, under the assumption that such theories arise from the gauging of a global higher-spin symmetry. Our result suggests that the Fronsdal program for introducing interactions among higher-spin gauge fields cannot be completed without introducing new guiding principles, which could potentially lie beyond the framework of classical field theory.
我们提出了在反德西特时空中的高自旋规范场之间存在一致诺特定理相互作用的不可能性结果。我们表明，在假设这些理论源自全局高自旋对称性的规范作用的情况下，对于在自由极限下由自由 Fronsdal 作用描述的无质量高自旋粒子的一致相互作用场论描述，在经典水平上存在非局部障碍。我们的结果表明，在不引入新的指导原则的情况下，Fronsdal 方案无法完成引入高自旋规范场之间相互作用的任务，这些原则可能超出了经典场论的框架。
