Examinando por Autor "Sundell, Per"
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Ítem 2D Poisson sigma models with gauged vectorial supersymmetry(Springer Verlag, 2015-08) Bonezzi, Roberto; Sundell, Per; Torres-Gomez, AlexanderAbstract: 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).Ítem All-order quartic couplings in highly symmetric D-brane-anti-D-brane systems(Springer Science and Business Media Deutschland GmbH, 2021-05) Hatefi, Ehsan; Sundell, PerWe compute six-point string amplitudes for the scattering of one closed string Ramond-Ramond state, two tachyons and two gauge fields in the worldvolume of D-brane-anti-D-brane systems in the Type II superstring theories. From the resulting S-matrix elements, we read off the precise form of the couplings, including their exact numerical coefficients, of two tachyons and two gauge fields in the corresponding highly symmetric effective field eheory (EFT) Lagrangian in the worldvolume of D-brane-Anti-D-brane to all orders in α′, which modify and complete previous proposals. We verify that the EFT reproduces the infinite collection of stringy gauge field singularities in dual channels. Inspired by interesting similarities between the all-order highly symmetric EFTs and holographic duals of Vasiliev’s higher spin gravities à là Nilsson and Vasiliev, we make a proposal for tensionless limits of D-brane-anti-D-brane systems. © 2021, The Author(s)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 Bosonic higher spin gravity in any dimension with dynamical two-form(Journal of High Energy Physics, 2019-03-01) Arias, Cesar; Bonezzi, Roberto; Sundell, PerWe 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.Ítem Fronsdal fields from gauge functions in Vasiliev’s higher spin gravity(Springer Verlag, 2019-10) Filippi, David De; Iazeolla, Carlo; Sundell, PerIn this paper, we revisit a number of issues in Vasiliev’s theory related to gauge functions, ordering schemes, and the embedding of Fronsdal fields into master fields. First, we parametrize a broad equivalence class of linearized solutions using gauge functions and integration constants, and show explicitly how Fronsdal fields and their Weyl tensors arise from these data in accordance with Vasiliev’s central on mass shell theorem. We then gauge transform the linearized piece of exact solutions, obtained in a convenient gauge in Weyl order, to the aforementioned class, where we land in normal order. We spell out this map for massless particle and higher spin black hole modes. Our results show that Vasiliev’s equations admit the correct free-field limit for master field configurations that relax the original regularity and gauge conditions in twistor space. Moreover, they support the off-shell Frobenius-Chern-Simons formulation of higher spin gravity for which Weyl order plays a crucial role. Finally, we propose a Fefferman-Graham-like scheme for computing asymptotically anti-de Sitter master field configurations, based on the assumption that gauge function and integration constant can be adjusted perturbatively so that the full master fields approach free master fields asymptotically. © 2019, The Author(s).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 Gibbons-Hawking entropy as entanglement entropy(2019-10) Arias, Cesar; Diaz, Felipe; Sundell, PerWe consider a deformed version of four-dimensional de Sitter spacetime. The setup consist of two (antipodal) disconnected Rindler observers, each one with an S4 topology. We show that the two observers have an entanglement entropy, in the low energy sector, given by a quarter of the area of a pair minimal surfaces, that corresponds to the set of fixed points of an Zq orbifold. The result matches with the Gibbons-Hawking entropy when we restrict the Zq action to a single Rindler wedge. © 2019 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 Logarithmic corrections, entanglement entropy, and UV cutoffs in de Sitter spacetime(Springer Science and Business Media Deutschland GmbH, 2022-08) Arenas Henriquez, Gabriel; Diaz, Felipe; Sundell, PerIt has been argued that the entropy of de Sitter space corresponds to the entanglement between disconnected regions computable by switching on a replica parameter q modeled by the quotient dS/ℤq. Within this framework, we show that the centrally-extended asymptotic symmetry algebra near the cosmic horizon is a single copy of the Virasoro algebra. The resulting density of states matches the semi-classical result of Gibbons and Hawking up to an undetermined constant that is chosen to reproduce the entanglement entropy previously found in the literature. It follows that the logarithmic quantum corrections to the Cardy entropy reproduces the known one-loop result computed in the bulk in the presence of a cutoff. The resulting entanglement entropy follows the divergent area law, where the UV cutoff is now a function of the replica parameter. Thus, as the near-horizon CFT fixes the cutoff in units of the Planck scale, the model can be viewed as a probe into whether the defect Hilbert space has a finite dimension; indeed, the limit q → 0, reproduces Banks’ formula. We also study the quantum corrections of the effective description of the horizon entropy by means of Liouville field theory, where the large q limit corresponds to a realization of dS3/CFT2 correspondence matching the logarithmic corrections to three-dimensional de Sitter space obtained by computing the one-loop contribution to the quantum gravity partition function in the round three-sphere. © 2022, The Author(s).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.Ítem On exact solutions and perturbative schemes in higher spin theory(MDPI Multidisciplinary Digital Publishing Institute, 2018) Iazeolla, Carlo; Sezgin, Ergin; Sundell, PerWe 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.