A. V. Barabanschikov, M. A. Vasiliev, S. F. Prokushkin, “Free equations for massive matter fields in $2+1$-dimensional anti-de Sitter space from deformed oscillator algebra”, TMF, 110:3 (1997), 372–384; Theoret. and Math. Phys., 110:3 (1997), 295

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Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 110, Number 3, Pages 372–384
DOI: https://doi.org/10.4213/tmf975 (Mi tmf975)

This article is cited in 20 scientific papers (total in 20 papers)

Free equations for massive matter fields in

2 + 1

$2+1$ -dimensional anti-de Sitter space from deformed oscillator algebra

A. V. Barabanschikov^a, M. A. Vasiliev^b, S. F. Prokushkin^b

^a International School for Advanced Studies (SISSA)
^b P. N. Lebedev Physical Institute, Russian Academy of Sciences

Full-text PDF (229 kB) Citations (20)

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DOI: https://doi.org/10.4213/tmf975

Abstract: We reformulate free equations of motion for massive spin 0 and spin 1/2 matter fields in

2 + 1

$2+1$ -dimensional anti-de Sitter space in the form of some covariant constancy conditions. The infinite-dimensional representation of the anti-de Sitter algebra underlying this formulation is shown to admit a natural realization in terms of the algebra of deformed oscillators with a deformation parameter related to the parameter of mass.

Received: 20.08.1996

English version:
Theoretical and Mathematical Physics, 1997, Volume 110, Issue 3, Pages 295–304
DOI: https://doi.org/10.1007/BF02630455

Bibliographic databases:

Language: Russian

Citation: A. V. Barabanschikov, M. A. Vasiliev, S. F. Prokushkin, “Free equations for massive matter fields in

2 + 1

$2+1$ -dimensional anti-de Sitter space from deformed oscillator algebra”, TMF, 110:3 (1997), 372–384; Theoret. and Math. Phys., 110:3 (1997), 295–304

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf975

https://doi.org/10.4213/tmf975

https://www.mathnet.ru/eng/tmf/v110/i3/p372

This publication is cited in the following 20 articles:

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A.V. Korybut, A.A. Sevostyanova, M.A. Vasiliev, V.A. Vereitin, “Disentanglement of topological and dynamical fields in 3d higher-spin theory within shifted homotopy approach”, Physics Letters B, 838 (2023), 137718
Ponomarev D., “3D Conformal Fields With Manifest Sl(2, C)”, J. High Energy Phys., 2021, no. 6, 055
Alkalaev K., Bekaert X., “On Bf-Type Higher-Spin Actions in Two Dimensions”, J. High Energy Phys., 2020, no. 5, 158
Basile T., Boulanger N., “Structure Constants of Shs[Lambda]: the Deformed-Oscillator Point of View”, J. Phys. A-Math. Theor., 51:2 (2018), 025201
Kessel P., Raeymaekers J., “Simple Unfolded Equations For Massive Higher Spins in Ads(3)”, J. High Energy Phys., 2018, no. 8, 076
Carlo Iazeolla, Ergin Sezgin, Per Sundell, “On Exact Solutions and Perturbative Schemes in Higher Spin Theory”, Universe, 4:1 (2018), 5
Boulanger N., Ponomarev D., Sezgin E., Sundell P., “New Unfolded Higher Spin Systems in AdS(3)”, Class. Quantum Gravity, 32:15 (2015), 155002
J. A. de Azcárraga, S. Fedoruk, J. M. Izquierdo, J. Lukierski, “Two-twistor particle models and free massive higher spin fields”, J. High Energ. Phys., 2015:4 (2015)
Boulanger N., Sundell P., Valenzuela M., “Three-Dimensional Fractional-Spin Gravity”, J. High Energy Phys., 2014, no. 2, 052
M A Vasiliev, “Holography, unfolding and higher spin theory”, J. Phys. A: Math. Theor., 46:21 (2013), 214013
Buchbinder I.L., Snegirev T.V., Zinoviev Yu.M., “Gauge Invariant Lagrangian Formulation of Massive Higher Spin Fields in (a)Ds(3) Space”, Phys. Lett. B, 716:1 (2012), 243–248
Segal, AY, “Point particle-symmetric tensors interaction and generalized gauge principle”, International Journal of Modern Physics A, 18:27 (2003), 5021
M. A. Vasiliev, O. V. Sheinkman, “Conformal Higher-Spin Symmetry for Matter Fields in $2+1$ Dimensions”, Theoret. and Math. Phys., 128:3 (2001), 1155–1168
M. A. Vasiliev, O. V. Sheinkman, “Scalar field in an arbitrary dimension from the standpoint of higher-spin gauge theory”, Theoret. and Math. Phys., 123:2 (2000), 683–700
Prokushkin, SF, “Higher-spin gauge interactions for massive matter fields in 3D AdS space-time”, Nuclear Physics B, 545:1–3 (1999), 385
Prokushkin S., Vasiliev M., “Higher-spin gauge theories - Integrability versus locality”, Supersymmetries and Quantum Symmetries, Lecture Notes in Physics, 524, 1999, 358–367
Prokushkin S., Vasiliev M., “Integrating flow in d=3 higher-spin gauge theories with N=2SUSY”, Theory of Elementary Particles, 1998, 70–76
M. A. Vasiliev, Lecture Notes in Physics, 509, Supersymmetry and Quantum Field Theory, 1998, 274

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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