Ambitwistors, oscillators and massless fields on $Ad{S}_5$

Abstract

Positive energy unitary irreducible representations of $SU(2,2)$ can be constructed with the aid of bosonic oscillators in (anti)fundamental representation of $SU(2{)}_L\times SU(2{)}_R$ that are closely related to Penrose twistors. Starting with the correspondence between the doubleton representations, homogeneous functions on projective twistor space and on-shell $SL(2,\mathbb{C})$ generalized Weyl curvature spinors and their low-spin counterparts, we study in the similar way the correspondence between the massless representations, homogeneous functions on ambitwistor space and, via the Penrose transform, with the gauge fields on Minkowski boundary of $Ad{S}_5$. The possibilities of reconstructing massless fields on $Ad{S}_5$ and some applications are also discussed.

12 pages, LaTeX; v.3: comment and reference added, further typos corrected, published version

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Cited by in corpus (9)

• Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields
• Continuous-spin mixed-symmetry fields in AdS(5)
• Cubic interaction vertices for massive/massless continuous-spin fields and arbitrary spin fields
• Cubic interactions of arbitrary spin fields in 3d flat space
• Supertwistor formulation for massless superparticle in $Ad{S}_5\times S^5$ superspace
• Multitwistor mechanics of massless superparticle on $Ad{S}_5\times S^5$ superbackground
• Twistor description of spinning particles in AdS
• Oscillator approach to quantization of $Ad{S}_5\times S^5$ superparticle in twistor formulation
• Massless spinning particle and null-string on $Ad{S}_d$: projective-space approach