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Examinando por Autor "Bonezzi, Roberto"

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    2D Poisson sigma models with gauged vectorial supersymmetry
    (Springer Verlag, 2015-08) Bonezzi, Roberto; Sundell, Per; Torres-Gomez, Alexander
    Abstract: In this note, we gauge the rigid vectorial supersymmetry of the two-dimensional Poisson sigma model presented in arXiv:1503.05625. We show that the consistency of the construction does not impose any further constraints on the differential Poisson algebra geometry than those required for the ungauged model. We conclude by proposing that the gauged model provides a first-quantized framework for higher spin gravity. © 2015, The Author(s).
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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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    Bosonic higher spin gravity in any dimension with dynamical two-form
    (Journal of High Energy Physics, 2019-03-01) Arias, Cesar; Bonezzi, Roberto; Sundell, Per
    We alter Vasiliev’s original bosonic higher spin gravity in any dimension beyond the linearized level by factoring out a modified sp(2) gauge algebra. The new model can be embedded together with a dynamical two-form and an extra dynamical one-form into a flat Quillen superconnection. Further duality and sp(2) ghost extensions lead to a FrobeniusChern-Simons action in which the sp(2) and higher spin gauge symmetries are subsumed into a unified Cartan gauge group at the fully non-linear level.
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    Noncommutative Wilson lines in higher-spin theory and correlation functions of conserved currents for free conformal fields
    (Institute of Physics Publishing, 2017-11) Bonezzi, Roberto; Boulanger, Nicolas; De Filippi, David; Sundell, Per
    We first prove that, in Vasiliev's theory, the zero-form charges studied in Sezgin E and Sundell P 2011 (arXiv:1103.2360 [hep-th]) and Colombo N and Sundell P 20 (arXiv:1208.3880 [hep-th]) are twisted open Wilson lines in the noncommutative Z space. This is shown by mapping Vasiliev's higher-spin model on noncommutative Yang-Mills theory. We then prove that, prior to Bose-symmetrising, the cyclically-symmetric higher-spin invariants given by the leading order of these n-point zero-form charges are equal to corresponding cyclically-invariant building blocks of n-point correlation functions of bilinear operators in free conformal field theories (CFT) in three dimensions. On the higher spin gravity side, our computation reproduces the results of Didenko V and Skvortsov E 2013 J. High Energy Phys. JHEP04(2013)158 using an alternative method amenable to the computation of subleading corrections obtained by perturbation theory in normal order. On the free CFT side, our proof involves the explicit computation of the separate cyclic building blocks of the correlation functions of n conserved currents in arbitrary dimension using polarization vectors, which is an original result. It is shown to agree, for d = 3, with the results obtained in Gelfond O A and Vasiliev M A 2013 Nucl. Phys. B 876 871-917 in various dimensions and where polarization spinors were used. © 2017 IOP Publishing Ltd.