AdS中混合对称场的展开与BMV猜想:I.一般形式主义
Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: I. General Formalism
摘要:
我们提出了一些一般性的展开壳动力学是有用的,在分析BMV猜想的混合对称领域在不断弯曲的背景。特别是,我们分类洛伦兹协变的哈里什-钱德拉模块产生的初级外尔张量的任意质量和形状,并在一般值的宇宙学常数的背景。我们还讨论了展开的概念,局部自由度的理论与重力和无大规模变形参数,使用语言的Weyl零形式模块和他们的语言。
英文摘要:
We present some generalities of unfolded on-shell dynamics that are useful in analysing the BMV conjecture for mixed-symmetry fields in constantly curved backgrounds. In particular we classify the Lorentz-covariant Harish-Chandra modules generated from primary Weyl tensors of arbitrary mass and shape, and in backgrounds with general values of the cosmological constant. We also discuss the unfolded notion of local degrees of freedom in theories with and without gravity and with and without massive deformation parameters, using the language of Weyl zero-form modules and their duals.
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