Bergshoeff Eric A, Hohm Olaf, Townsend Paul K
Centre for Theoretical Physics, University of Groningen, 9747 AG Groningen, The Netherlands.
Phys Rev Lett. 2009 May 22;102(20):201301. doi: 10.1103/PhysRevLett.102.201301. Epub 2009 May 21.
A particular higher-derivative extension of the Einstein-Hilbert action in three spacetime dimensions is shown to be equivalent at the linearized level to the (unitary) Pauli-Fierz action for a massive spin-2 field. A more general model, which also includes "topologically-massive" gravity as a special case, propagates the two spin-2 helicity states with different masses. We discuss the extension to massive N-extended supergravity, and we present a "cosmological" extension that admits an anti-de Sitter vacuum.
在三个时空维度下,爱因斯坦 - 希尔伯特作用量的一种特定高阶导数扩展在微扰水平上被证明与一个有质量的自旋 - 2 场的(幺正)泡利 - 菲泽作用量等价。一个更一般的模型,其中也包括“拓扑质量”引力作为特殊情况,传播具有不同质量的两个自旋 - 2 螺旋度态。我们讨论了向有质量的 N 扩展超引力的扩展,并给出了一个允许反德西特真空的“宇宙学”扩展。