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arXiv 1807.08754hep-thgr-qc
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关于质量引力的(A)dS解耦极限

On the (A)dS Decoupling Limits of Massive Gravity

Claudia de Rham, Kurt Hinterbichler, Laura A. Johnson

摘要:

我们考虑了(A)dS上无鬼质量引力的各种退耦极限。第一个是AdS空间的解耦极限,其中质量变为零,而AdS半径保持固定。这将导致在一个相互作用的大规模Proca矢量理论与$Λ_2\sim (M_{\rm Pl} m)^{1/2}$强耦合的规模,这是鬼自由的建设,但不能把迄今为止考虑的广义Proca理论的形式。我们评论存在的潜在的二元性之间的Proca理论和CFT的边界。我们考虑的第二个解耦极限是dS的一个新极限,通过将质量发送到有限的部分无质量值来获得。我们通过引入恢复部分无质量对称性的标量施托克伯场来做到这一点。对于一般的参数值,只有有限数量的运营商进入部分无质量的解耦限制,并采取dS Galileons的形式。如果选择的相互作用正是那些“候选人”的非线性部分无质量理论,所产生的强耦合尺度有一个更高的值和所产生的去耦限制包括无限数量的相互作用,我们在封闭的形式。这些相互作用既保持了线性部分无质量对称性,又保持了伽利略位移对称性的dS版本。

英文摘要:

We consider various decoupling limits of ghost-free massive gravity on (A)dS. The first is a decoupling limit on AdS space where the mass goes to zero while the AdS radius is held fixed. This results in an interacting massive Proca vector theory with a $Λ_2\sim (M_{\rm Pl} m)^{1/2}$ strong coupling scale which is ghost-free by construction and yet can not be put in the form of the generalized Proca theories considered so far. We comment on the existence of a potential duality between this Proca theory and a CFT on the boundary. The second decoupling limit we consider is a new limit on dS, obtained by sending the mass towards the finite partially massless value. We do this by introducing the scalar Stückelberg field which restores the partially massless symmetry. For generic values of the parameters, only a finite number of operators enter the partially massless decoupling limit and take the form of dS Galileons. If the interactions are chosen to be precisely those of the `candidate' non-linear partially massless theory, the resulting strong coupling scale has a higher value and the resulting decoupling limit includes an infinite number of interactions which we give in closed form. These interactions preserve both the linear partially massless symmetry and the dS version of the Galileon shift symmetry.

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