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This paper studies the two-component spinor form of massive spin-3/2 potentials in conformally flat Einstein four-manifolds. Following earlier work in the literature, a non-vanishing cosmological constant makes it necessary to introduce a…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Giampiero Esposito , Giuseppe Pollifrone

We present the dictionary between the one-particle Hilbert spaces of totally symmetric tensor-spinor fields of spin $s={3}/{2}, {5}/{2}$ with any mass parameter on $D$-dimensional ($D \geq 3$) de Sitter space ($dS_{D}$) and Unitary…

High Energy Physics - Theory · Physics 2025-12-16 Vasileios A. Letsios

We propose a holographic duality between a 2 dimensional (2d) chiral superconformal field theory and a certain theory of supergravity in 3d with flatspace boundary conditions that is obtained as a double scaling limit of a parity breaking…

High Energy Physics - Theory · Physics 2018-05-30 Arjun Bagchi , Rudranil Basu , Stéphane Detournay , Pulastya Parekh

Duality is investigated for higher spin ($s \geq 2$), free, massless, bosonic gauge fields. We show how the dual formulations can be derived from a common "parent", first-order action. This goes beyond most of the previous treatments where…

High Energy Physics - Theory · Physics 2009-11-10 Nicolas Boulanger , Sandrine Cnockaert , Marc Henneaux

We give an explicitly gauge invariant canonical analysis of linearized quadratic gravity theories in three dimensions for both flat and de-Sitter backgrounds. In flat backgrounds, we also study the effects of gravitational Chern-Simons…

High Energy Physics - Theory · Physics 2010-05-19 Ibrahim Gullu , Tahsin Cagri Sisman , Bayram Tekin

We study a model for gravity in 3+1 dimensions, inspired in general relativity in 2+1 dimensions. In contrast regular general relativity in 3+1 dimensions, the model postulates that space in absence of matter is flat. The requirement that…

General Relativity and Quantum Cosmology · Physics 2011-11-29 Maarten van de Meent

The product of two N=8 supersingletons yields an infinite tower of massless states of higher spin in four dimensional anti de Sitter space. All the states with spin s > 1/2 correspond to generators of Vasiliev's super higher spin algebra…

High Energy Physics - Theory · Physics 2010-02-03 E. Sezgin , P. Sundell

The possibility of flat metric solutions in the presence of arbitrary, in particular, Planck mass sized cosmological constants is investigated within multigravity theory, the ghost-free theory of $(N+1)$ rank-2 tensor fields comprising one…

High Energy Physics - Theory · Physics 2021-11-01 E. T. Tomboulis

A discussion of the number of degrees of freedom, and their dynamical properties, in higher derivative gravitational theories is presented. The complete non-linear sigma model for these degrees of freedom is exhibited using the method of…

High Energy Physics - Theory · Physics 2008-02-03 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

We revisit the higher spin extensions of the anti de Sitter algebra in four dimensions that incorporate internal symmetries and admit representations that contain fermions, classified long ago by Konstein and Vasiliev. We construct the…

High Energy Physics - Theory · Physics 2015-06-11 Ergin Sezgin , Per Sundell

The scaling dimension of the first excited state in two-dimensional conformal field theories (CFTs) satisfies a universal upper bound. Using the modular bootstrap, we extend this result to CFTs with $W_3$ algebras which are generically dual…

High Energy Physics - Theory · Physics 2017-10-12 Luis Apolo

We suggest a new spin-4 self-dual model (parity singlet) and a new spin-4 parity doublet in $D=2+1$. They are of higher order in derivatives and are described by a totally symmetric rank-4 tensor without extra auxiliary fields. Despite the…

High Energy Physics - Theory · Physics 2021-11-10 D. Dalmazi , A. L. R. dos Santos

We prove the flat space analogue of the Flato-Fronsdal theorem. It features the flat space singleton representation suggested recently. We do that by deriving a kernel that intertwines a pair of singleton representations with massless…

High Energy Physics - Theory · Physics 2023-02-01 Dmitry Ponomarev

It is shown that the quantization of a superparticle propagating in an N=1, D=4 superspace extended with tensorial coordinates results in an infinite tower of massless spin states satisfying the Vasiliev unfolded equations for free higher…

High Energy Physics - Theory · Physics 2010-02-03 Mikhail Plyushchay , Dmitri Sorokin , Mirian Tsulaia

We study the formulation of massless higher-spin gravity on AdS$_3$ in a gauge in which the fundamental variables satisfy free field Poisson brackets. This gauge choice leaves a small portion of the gauge freedom unfixed, which should be…

High Energy Physics - Theory · Physics 2018-04-04 Andrea Campoleoni , Stefan Fredenhagen , Joris Raeymaekers

We study recently proposed chiral higher spin theories - cubic theories of interacting massless higher spin fields in four-dimensional flat space. We show that they are naturally associated with gauge algebras, which manifest themselves in…

High Energy Physics - Theory · Physics 2018-01-23 Dmitry Ponomarev

Neutrino spin and flavour oscillation in curved spacetime have been studied for the most general static spherically symmetric configuration. Using the symmetry properties we have derived spin oscillation frequency for neutrino moving along…

General Relativity and Quantum Cosmology · Physics 2015-10-16 Sumanta Chakraborty

We find the explicit forms of the anti-de Sitter plane, anti-de Sitter spherical, and pp waves that solve both the linearized and exact field equations of the most general higher derivative gravity theory in three dimensions. As a…

High Energy Physics - Theory · Physics 2015-10-14 Metin Gurses , Tahsin Cagri Sisman , Bayram Tekin

These lecture notes provide an introduction to higher-spin gauge theories in three spacetime dimensions, with a focus on their asymptotic symmetries, their holographic description in terms of conformal field theories with W-symmetries as…

High Energy Physics - Theory · Physics 2024-09-24 Andrea Campoleoni , Stefan Fredenhagen

We study the functional class and locality problems in the context of higher-spin theories and Vasiliev's equations. A locality criterion that is sufficient to make higher-spin theories well-defined as field theories on Anti-de-Sitter space…

High Energy Physics - Theory · Physics 2015-11-04 E. D. Skvortsov , Massimo Taronna