Ambitwistors, oscillators and massless fields on \(\mathrm {AdS}_5\)

DOI10.1016/J.PHYSLETB.2016.09.065zbMATH Open1390.81238arXiv1607.05233OpenAlexW2514627192MaRDI QIDQ1636127

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Publication date: 4 June 2018

Published in: (Search for Journal in Brave)

Abstract: Positive energy unitary irreducible representations of $SU(2,2)$ can be constructed with the aid of bosonic oscillators in (anti)fundamental representation of $SU(2{)}_{L}imesSU(2{)}_R$ that are closely related to Penrose twistors. Starting with the correspondence between the doubleton representations, homogeneous functions on projective twistor space and on-shell $SL(2,mathbbC)$ 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.

Full work available at URL: https://arxiv.org/abs/1607.05233

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