$\pm 2$螺旋态在$D=2+1$中的广义焊接
Generalized soldering of $\pm 2$ helicity states in $D=2+1$
摘要：
两个具有相反螺旋度的麦克斯韦-陈-西蒙斯规范理论$\pm 1$的直和并不导致$D=2+1$中的普罗卡理论，尽管这两个理论共享相同的谱。然而，众所周知，通过在两个螺旋之间添加干涉项，我们可以将互补片段连接在一起并获得物理预期的结果。可以定义一个广义的焊接过程来产生缺失的干涉项。在这里，我们表明，同样的程序可以应用到一起加入$\pm 2$螺旋状态在一个完整的离壳层的方式。特别地，通过使用螺旋度的二阶（在导数中）自对偶模型$\pm 2$（MCS模型的自旋二类似物），在焊接之后获得Fierz-Pauli理论。值得注意的是，如果我们用螺旋度相反的三阶自对偶模型（线性化拓扑质量引力）代替二阶模型，我们最终会与伯格肖夫、霍姆和汤森的新质量引力理论在线性化近似下完全吻合。
英文摘要：
The direct sum of a couple of Maxwell-Chern-Simons (MCS) gauge theories of opposite helicities $\pm 1$ does not lead to a Proca theory in $D=2+1$, although both theories share the same spectrum. However, it is known that by adding an interference term between both helicities we can join the complementary pieces together and obtain the physically expected result. A generalized soldering procedure can be defined to generate the missing interference term. Here we show that the same procedure can be applied to join together $\pm 2$ helicity states in a full off-shell manner. In particular, by using second-order (in derivatives) self-dual models of helicities $\pm 2$ (spin two analogues of MCS models) the Fierz-Pauli theory is obtained after soldering. Remarkably, if we replace the second-order models by third-order self-dual models (linearized topologically massive gravity) of opposite helicities we end up after soldering exactly with the new massive gravity theory of Bergshoeff, Hohm and Townsend in its linearized approximation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
