三维和部分无质量的AdS（超级）投影仪
AdS (super)projectors in three dimensions and partial masslessness
摘要：
本文导出了三维反德西特空间AdS $_3$上任意整数和半整数自旋场的横投影算子。投影器是根据AdS $_3$的等距群$\mathsf{SO}(2,2)$的二次Casimir算子构造的。它们的极点被证明对应于（部分）无质量场。作为应用，我们利用投影仪重铸的共形和拓扑大量的高自旋行动在AdS $_3$到一个明显的规范不变和因式分解的形式。我们还提出了运营商隔离的组成部分，是横向的，并进行了一定的螺旋。这些字段对应于$\mathsf{SO}(2,2)$的不可约表示。我们的结果被推广到$\mathcal{N}=1$ AdS $_3$超对称的情形.
英文摘要：
We derive the transverse projection operators for fields with arbitrary integer and half-integer spin on three-dimensional anti-de Sitter space, AdS$_3$. The projectors are constructed in terms of the quadratic Casimir operators of the isometry group $\mathsf{SO}(2,2)$ of AdS$_3$. Their poles are demonstrated to correspond to (partially) massless fields. As an application, we make use of the projectors to recast the conformal and topologically massive higher-spin actions in AdS$_3$ into a manifestly gauge-invariant and factorised form. We also propose operators which isolate the component of a field that is transverse and carries a definite helicity. Such fields correspond to an irreducible representation of $\mathsf{SO}(2,2)$. Our results are then extended to the case of $\mathcal{N}=1$ AdS$_3$ supersymmetry.
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。
