Examinando por Autor "Sezgin, Ergin"

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    An action for matter coupled higher spin gravity in three dimensions
    (Springer Verlag, 2016-05) Bonezzi, Roberto; Boulanger, Nicolas; Sezgin, Ergin; Sundell, Per
    We propose a covariant Hamiltonian action for the Prokushkin and Vasiliev’s matter coupled higher spin gravity in three dimensions. The action is formulated on X4×Z2 where X4 is an open manifold whose boundary contains spacetime and Z2 is a noncom mutative twistor space. We examine various consistent truncations to models of BF type in X4 and Z2 with B2 terms and central elements. They are obtained by integrating out the matter fields in the presence of a vacuum expectation value ν ∈ R for the zero-form master field. For ν = 0, we obtain a model on X4 containing Blencowe’s action and a model on Z2 containing the Prokushkin-Segal-Vasiliev action. For generic ν (including ν = 0), we propose an alternative model on X4 with gauge fields in the Weyl algebra of Wigner’s deformed oscillator algebra and Lagrange multipliers in the algebra of operators acting in the Fock representation space of the deformed oscillators.
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    New unfolded higher spin systems in AdS3
    (Classical and Quantum Gravity Volume 32, Issue 156 August 2015 Article number 155002, 2015-08) Boulanger, Nicolas; Ponomarev, Dmitry; Sezgin, Ergin; Sundell, Per
    We investigate the unfolded formulation of bosonic Lorentz tensor fields of arbitrary spin in AdS3 containing a parity breaking mass parameter. They include deformations of the linearizations of the Prokushkin-Vasiliev higher spin theory around its critical points. They also provide unfolded formulations of linearized topologically massive higher spin fields including their critical versions. The gauge invariant degrees of freedom are captured by infinite towers of zero forms. We also introduce two inequivalent sets of gauge potentials given by trace constrained Fronsdal fields and trace unconstrained metric-like fields. © 2015 IOP Publishing Ltd.
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    On exact solutions and perturbative schemes in higher spin theory
    (MDPI Multidisciplinary Digital Publishing Institute, 2018) Iazeolla, Carlo; Sezgin, Ergin; Sundell, Per
    We review various methods for finding exact solutions of higher spin theory in four dimensions, and survey the known exact solutions of (non)minimal Vasiliev's equations. These include instanton-like and black hole-like solutions in (A)dS and Kleinian spacetimes. A perturbative construction of solutions with the symmetries of a domain wall is also described. Furthermore, we review two proposed perturbative schemes: one based on perturbative treatment of the twistor space field equations followed by inverting Fronsdal kinetic terms using standard Green's functions; and an alternative scheme based on solving the twistor space field equations exactly followed by introducing the spacetime dependence using perturbatively defined gauge functions. Motivated by the need to provide a higher spin invariant characterization of the exact solutions, aspects of a proposal for a geometric description of Vasiliev's equation involving an infinite dimensional generalization of anti de Sitter space are revisited and improved. © 2018 by the authors.