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arXiv 0912.2944hep-th
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2+1维中的大质量引力子

On massive gravitons in 2+1 dimensions

Eric Bergshoeff, Olaf Hohm, Paul Townsend

摘要:

在(1+2)维(3D)时空中,有质量自旋为2的粒子的Fierz-Pauli(FP)自由场论至少可以通过两种方式推广到一般协变的宇称保持相互作用场论.一个是“新大质量引力”(NMG),其作用量涉及曲率平方项。另一个是3D“双引力”,它涉及FP张量场与3D爱因斯坦-希尔伯特引力的非线性耦合。我们回顾了两个“大质量三维引力”理论的线性等价性的证明FP理论,我们评论他们的异同。

英文摘要:

The Fierz-Pauli (FP) free field theory for massive spin 2 particles can be extended, in a spacetime of (1+2) dimensions (3D), to a generally covariant parity-preserving interacting field theory, in at least two ways. One is "new massive gravity" (NMG), with an action that involves curvature-squared terms. Another is 3D "bigravity", which involves non-linear couplings of the FP tensor field to 3D Einstein-Hilbert gravity. We review the proof of the linearized equivalence of both "massive 3D gravity" theories to FP theory, and we comment on their similarities and differences.

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