Examinando por Autor "Boulanger, Nicolas"
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Ítem An action for matter coupled higher spin gravity in three dimensions(Springer Verlag, 2016-05) Bonezzi, Roberto; Boulanger, Nicolas; Sezgin, Ergin; Sundell, PerWe 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.Ítem Gauge fields and infinite chains of dualities(Springer Verlag, 2015-09) Boulanger, Nicolas; Sundell, Per; West, PeterAbstract: We show that the particle states of Maxwell’s theory, in D dimensions, can be represented in an infinite number of ways by using different gauge fields. Using this result we formulate the dynamics in terms of an infinite set of duality relations which are first order in space-time derivatives. We derive a similar result for the three form in eleven dimensions where such a possibility was first observed in the context of E11. We also give an action formulation for some of the gauge fields. In this paper we give a pedagogical account of the Lorentz and gauge covariant formulation of the irreducible representations of the Poincaré group, used previously in higher spin theories, as this plays a key role in our constructions. It is clear that our results can be generalised to any particle. © 2015, The Author(s).Ítem Gravitational and gauge couplings in Chern-Simons fractional spin gravity(Springer, 2016-01) Boulanger, Nicolas; Sundell, Per; Valenzuela, MauricioWe propose an extension of Vasiliev’s supertrace operation for the enveloping algebra of Wigner’s deformed oscillator algebra to the fractional spin algebra given in arXiv:1312.5700. We provide a necessary and sufficient condition for the consistency of the supertrace, through the existence of a certain ground state projector. We build this projector and check its properties to the first two orders in the number operator and to all orders in the deformation parameter. We then find the relation between the gravitational and internal gauge couplings in the resulting unified three-dimensional Chern-Simons theory for Blencowe-Vasiliev higher spin gravity coupled to fractional spin fields and internal gauge potentials. We also examine the model for integer or half-integer fractional spins, where infinite dimensional ideals arise and decouple, leaving finite dimensional gauge algebras gl(2ℓ + 1) or gl(ℓ|ℓ + 1) and various real forms thereof.Ítem 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, PerWe 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.Ítem 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, PerWe 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.