Massless Fields on Dirac Six-Cone and De Sitter Ambient Space

作者：Enayati M^*; Khani S

来源：International Journal of Theoretical Physics, 2016, 55(10): 4513-4520.

DOI：10.1007/s10773-016-3074-z

• Dirac's six-cone
• De sitter space
• Conformal invariant
• Rank-2 tensor field
• Rank-3 mixed symmetry tensor field

We have proceeded to obtain manifestly conformally invariant (CI) equations for thinkable graviton fields in de Sitter (dS) space-time. The tensor fields are originally considered in 4+2 dimensional conformal space or Dirac's six-cone and then project to dS space which is embedded in 4+1 dimensional ambient space. It will be shown that, by projecting these tensor fields there exists a correspondence between the massless fields on the cone and dS space. Also, we have shown that for rank-2 tensor field the divergenceless condition, which is necessary when we attempt to correspond the tensor field with the unitary irreducible representations (UIRs) of dS group, is not really a condition at all, it is a consequence of ambient space property. Due to the combined occurrences of corresponding fields and divergenceless property, the appropriate CI field equations have obtained in a fairly simple way and without imposing any extra condition.

• 出版日期2016-10