Light-cone continuous-spin field in AdS space

We develop further the general light-cone gauge approach in AdS space and apply it for studying continuous-spin field. For such field, we find light-cone gauge Lagrangian and realization of relativistic symmetries. We find a simple realization of spin operators entering our approach. Generalization...

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Main Author: R.R. Metsaev
Format: Article
Language:English
Published: Elsevier 2019-06-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269319302746
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author R.R. Metsaev
author_facet R.R. Metsaev
author_sort R.R. Metsaev
collection DOAJ
description We develop further the general light-cone gauge approach in AdS space and apply it for studying continuous-spin field. For such field, we find light-cone gauge Lagrangian and realization of relativistic symmetries. We find a simple realization of spin operators entering our approach. Generalization of our results to the gauge invariant Lagrangian formulation is also described. We conjecture that, in the framework of AdS/CFT, the continuous-spin AdS field is dual to light-ray conformal operator. For some particular cases, our continuous-spin field leads to reducible models. We note two reducible models. The first model consists of massive scalar, massless vector, and partial continuous-spin field involving fields of all spins greater than one, while the second model consists of massive vector, massless spin-2 field, and partial continuous-spin field involving all fields of spins greater than two. Keywords: Continuous-spin field, Higher-spin field
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spelling doaj.art-3b41b191e6fa42dcb33ff715633995f42022-12-22T00:16:09ZengElsevierPhysics Letters B0370-26932019-06-01793134140Light-cone continuous-spin field in AdS spaceR.R. Metsaev0Department of Theoretical Physics, P.N. Lebedev Physical Institute, Leninsky prospect 53, Moscow 119991, RussiaWe develop further the general light-cone gauge approach in AdS space and apply it for studying continuous-spin field. For such field, we find light-cone gauge Lagrangian and realization of relativistic symmetries. We find a simple realization of spin operators entering our approach. Generalization of our results to the gauge invariant Lagrangian formulation is also described. We conjecture that, in the framework of AdS/CFT, the continuous-spin AdS field is dual to light-ray conformal operator. For some particular cases, our continuous-spin field leads to reducible models. We note two reducible models. The first model consists of massive scalar, massless vector, and partial continuous-spin field involving fields of all spins greater than one, while the second model consists of massive vector, massless spin-2 field, and partial continuous-spin field involving all fields of spins greater than two. Keywords: Continuous-spin field, Higher-spin fieldhttp://www.sciencedirect.com/science/article/pii/S0370269319302746
spellingShingle R.R. Metsaev
Light-cone continuous-spin field in AdS space
Physics Letters B
title Light-cone continuous-spin field in AdS space
title_full Light-cone continuous-spin field in AdS space
title_fullStr Light-cone continuous-spin field in AdS space
title_full_unstemmed Light-cone continuous-spin field in AdS space
title_short Light-cone continuous-spin field in AdS space
title_sort light cone continuous spin field in ads space
url http://www.sciencedirect.com/science/article/pii/S0370269319302746
work_keys_str_mv AT rrmetsaev lightconecontinuousspinfieldinadsspace