Relativistic particles with higher spin can be described in first quantization using actions with local supersymmetry on the worldline. First, we present a brief review of these actions and their use in first quantization. In a Dirac quantization scheme the field equations emerge as Dirac constraints on the Hilbert space, and we outline how they lead to the description of higher spin fields in terms of the more standard Fronsdal-Labastida equations. Then, we describe how these actions can be extended so that the propagating particle is allowed to take different values of the spin, i.e. carry a reducible representation of the Poincaré group. This way one may identify a four dimensional model that carries the same degrees of freedom of the minimal Vasiliev's interacting higher spin field theory. Extensions to massive particles and to propagation on (A)dS spaces are also briefly commented upon.

Spinning particles and higher spin field equations / Bastianelli F.; Bonezzi R.; Corradini O.; Latini E.. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - ELETTRONICO. - 1208:1(2019), pp. 012006.1-012006.10. (Intervento presentato al convegno Victor Villanueva Memorial Workshop tenutosi a Institute of Physics and Mathematics, University of Michoacan, mex nel 2013) [10.1088/1742-6596/1208/1/012006].

Spinning particles and higher spin field equations

Bastianelli F.;Bonezzi R.;Latini E.
2019

Abstract

Relativistic particles with higher spin can be described in first quantization using actions with local supersymmetry on the worldline. First, we present a brief review of these actions and their use in first quantization. In a Dirac quantization scheme the field equations emerge as Dirac constraints on the Hilbert space, and we outline how they lead to the description of higher spin fields in terms of the more standard Fronsdal-Labastida equations. Then, we describe how these actions can be extended so that the propagating particle is allowed to take different values of the spin, i.e. carry a reducible representation of the Poincaré group. This way one may identify a four dimensional model that carries the same degrees of freedom of the minimal Vasiliev's interacting higher spin field theory. Extensions to massive particles and to propagation on (A)dS spaces are also briefly commented upon.
2019
Journal of Physics: Conference Series
1
10
Spinning particles and higher spin field equations / Bastianelli F.; Bonezzi R.; Corradini O.; Latini E.. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - ELETTRONICO. - 1208:1(2019), pp. 012006.1-012006.10. (Intervento presentato al convegno Victor Villanueva Memorial Workshop tenutosi a Institute of Physics and Mathematics, University of Michoacan, mex nel 2013) [10.1088/1742-6596/1208/1/012006].
Bastianelli F.; Bonezzi R.; Corradini O.; Latini E.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/733483
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