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Addendum: A note on spin two fields in curved backgrounds (2007 Class. Quantum Grav. 24 1683)
Classical and Quantum Gravity ( IF 3.6 ) Pub Date : 2022-04-14 , DOI: 10.1088/1361-6382/ac6057
S Deser 1, 2 , M Henneaux 3, 4
Affiliation  

Some time ago, we showed that a weak (linear) massless spin two wave could only propagate on a Ricci-flat or Ricci-constant background: it must necessarily be a perturbation of general relativity. This was just the continuation of the higher spin chain: massless s = 3/2 also required Ricci-flatness (which is the basis of supergravity) while s > 2 needs Riemann flatness. This note, entitled ‘higher spin m ≠ 0 excitations on curved backgrounds and cosmological supergravity’, re-analyzes the problem in a perhaps more physical way: by considering massless and—only apparently—massive small excitations and showing how their parameters relate to the cosmological constant. We will thus prove, in a simple physical way, the necessity, as well as the sufficiency, of the known supergravity results.

中文翻译:

附录:关于在弯曲背景下自旋两个场的注释(2007 年级。Quantum Grav. 24 1683)

前段时间,我们证明了弱(线性)无质量自旋二次波只能在 Ricci 平面或 Ricci 常数背景下传播:它必然是广义相对论的摄动。这只是更高自旋链的延续:无质量= 3/2 还需要 Ricci 平坦度(这是超引力的基础),而> 2 需要黎曼平坦度。这篇题为“更高的自旋”的笔记≠ 0 excitations on curved backgrounds and cosmological supergravity',以一种可能更物理的方式重新分析了这个问题:通过考虑无质量和——只是表面上——有质量的小激发,并展示它们的参数如何与宇宙学常数相关。因此,我们将以简单的物理方式证明已知超引力结果的必要性和充分性。
更新日期:2022-04-14
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