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arXiv 0812.0161hep-th
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主作用量对$D=2+1$中自旋为2的重粒子的对偶描述

Dual descriptions of spin two massive particles in $D=2+1$ via master actions

D. Dalmazi, Elias L. Mendonca

备注：
title and abstract slightly modified, 3 references added, comments on interactions included
发表信息：
Phys.Rev.D79:045025,2009
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摘要：

在这项工作的第一部分中，我们显示了解耦（接触项）的冗余度的自由度，出现在协变描述的自旋两个大质量粒子在$D=2+1$。我们利用一个主动作插值，而不解决任何约束，第一，第二和第三阶（在衍生品）自对偶模型之间。这些模型之间的显式对偶映射。在我们的方法中，鬼在三阶自对偶模型，这对应于一个二次截断的拓扑质量的重力，是由于平凡的（没有粒子内容）的爱因斯坦-希尔伯特作用在$D=2+1$。在工作的第二部分，也是在$D=2+1$中，我们证明了一对具有相反螺旋度（+2和-2）和质量的自对偶模型$m_+$和$m_-$的规范不变扇区与一个广义自对偶模型的量子等价性，该模型包含一个二次Einstein-Hilbert作用量，一个一阶Chern-Simons项和一个Fierz-Pauli质量项。使用一阶Chern-Simons项而不是三阶项避免了与Einstein-Hilbert作用量的符号冲突。

英文摘要：

In the first part of this work we show the decoupling (up to contact terms) of redundant degrees of freedom which appear in the covariant description of spin two massive particles in $D=2+1$. We make use of a master action which interpolates, without solving any constraints, between a first, second and third order (in derivatives) self-dual model. An explicit dual map between those models is derived. In our approach the absence of ghosts in the third order self-dual model, which corresponds to a quadratic truncation of topologically massive gravity, is due to the triviality (no particle content) of the Einstein-Hilbert action in $D=2+1$. In the second part of the work, also in $D=2+1$, we prove the quantum equivalence of the gauge invariant sector of a couple of self-dual models of opposite helicities (+2 and -2) and masses $m_+$ and $m_-$ to a generalized self-dual model which contains a quadratic Einstein-Hilbert action, a Chern-Simons term of first order and a Fierz-Pauli mass term. The use of a first order Chern-Simons term instead of a third order one avoids conflicts with the sign of the Einstein-Hilbert action.

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