在AdS中展开混合对称场和BMV猜想：II。振荡器实现
Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: II. Oscillator Realization
摘要：
根据arXiv：0812.3615中提出的一般形式主义--称为论文I --我们通过在一个更高的维度上径向缩减Skvortsov方程，推导出在不断弯曲的背景中任意形状和质量的张量场的展开运动方程。完整的展开系统被嵌入到一个单一的主字段，在张量舒尔模块中实现等价通过玻色子（对称基础）或费米子（反对称基础）矢量振子。在临界质量下，约化Weyl零形式模变得不可分解。我们明确地将后者投射到携带梅察耶夫的无质量表示的子模块上。其余的减少系统包含一组Stueckelberg领域和动力学潜力，导致一个光滑的平坦的限制，根据布林克-梅萨耶夫-瓦西里耶夫（BMV）猜想。在酉无质量的情况下，在AdS，我们确定了Alkalaev-Shaynkman-Vasiliev框架的潜力，明确解开他们的展开场方程。
英文摘要：
Following the general formalism presented in arXiv:0812.3615 -- referred to as Paper I -- we derive the unfolded equations of motion for tensor fields of arbitrary shape and mass in constantly curved backgrounds by radial reduction of Skvortsov's equations in one higher dimension. The complete unfolded system is embedded into a single master field, valued in a tensorial Schur module realized equivalently via either bosonic (symmetric basis) or fermionic (anti-symmetric basis) vector oscillators. At critical masses the reduced Weyl zero-form modules become indecomposable. We explicitly project the latter onto the submodules carrying Metsaev's massless representations. The remainder of the reduced system contains a set of Stueckelberg fields and dynamical potentials that leads to a smooth flat limit in accordance with the Brink--Metsaev--Vasiliev (BMV) conjecture. In the unitary massless cases in AdS, we identify the Alkalaev--Shaynkman--Vasiliev frame-like potentials and explicitly disentangle their unfolded field equations.
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。
