Continuous-spin mixed-symmetry fields in AdS(5)
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Publication:4586130
DOI10.1088/1751-8121/AABCDAzbMATH Open1397.81123arXiv1711.11007OpenAlexW3099180740WikidataQ130001319 ScholiaQ130001319MaRDI QIDQ4586130
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Publication date: 11 September 2018
Published in: (Search for Journal in Brave)
Abstract: Free mixed-symmetry continuous-spin fields propagating in AdS(5) space and flat R(4,1) space are studied. In the framework of a light-cone gauge formulation of relativistic dynamics, we build simple actions for such fields. Realization of relativistic symmetries on space of light-cone gauge mixed-symmetry continuous-spin fields is also found. Interrelations between constant parameters entering the light-cone gauge actions and eigenvalues of the Casimir operators of space-time symmetry algebras are obtained. Using these interrelations and requiring that the field dynamics in AdS(5) be irreducible and classically unitary, we derive restrictions on the constant parameters and eigenvalues of the 2nd-order Casimir operator of the so(4,2) algebra.
Full work available at URL: https://arxiv.org/abs/1711.11007
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