Berends-Burgers-van Dam自旋3顶点的强阻塞
Strong obstruction of the Berends-Burgers-van Dam spin-3 vertex
摘要：
在80年代，Berends，Burgers和van Dam（BBvD）发现了平坦时空中自旋为3的自相互作用无质量场的非阿贝尔立方顶点。然而，他们还发现，对于自旋为3的场的任何多重态，这种变形在高阶上是不一致的。对于任意对称的规范场，我们严格限制可能的非阿贝尔变形的规范代数，并使用这些结果，证明了BBvD障碍不能治愈的任何手段，即使通过引入领域的自旋高于（或低于）3。
英文摘要：
In the eighties, Berends, Burgers and van Dam (BBvD) found a nonabelian cubic vertex for self-interacting massless fields of spin three in flat spacetime. However, they also found that this deformation is inconsistent at higher order for any multiplet of spin-three fields. For arbitrary symmetric gauge fields, we severely constrain the possible nonabelian deformations of the gauge algebra and, using these results, prove that the BBvD obstruction cannot be cured by any means, even by introducing fields of spin higher (or lower) than three.
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