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These notes aim at providing a pedagogical and pedestrian introduction to the subject and assume no previous knowledge apart from that of general relativity. We shall first recall the "frame" formulation of the later theory, then…

High Energy Physics - Theory · Physics 2016-02-09 Gustavo Lucena Gómez

A class of conformally flat and asymptotically anti-de Sitter geometries involving profiles of scalar fields is studied from the point of view of gauged supergravity. The scalars involved in the solutions parameterise the SL(N,R)/SO(N)…

High Energy Physics - Theory · Physics 2009-09-17 M. Cvetic , S. S. Gubser , H. Lu , C. N. Pope

In this communication, we analyze the case of 3+1 dimensional scalar field cosmologies in the presence, as well as in the absence of spatial curvature, in isotropic, as well as in anisotropic settings. Our results extend those of Hawkins…

General Relativity and Quantum Cosmology · Physics 2008-08-19 F. L. Williams , P. G. Kevrekidis , T. Christodoulakis , C. Helias , G. O. Papadopoulos , Th. Grammenos

We investigate the notion of asymptotic symmetries in classical gravity in higher even dimensions, with $D = 6$ space-time dimensions as the prototype. Unlike in four dimensions, certain non-linearities persist which necessitates the…

High Energy Physics - Theory · Physics 2022-01-21 Chandramouli Chowdhury , Ruchira Mishra , Siddharth G. Prabhu

Motivated by the generation of action principles from off-shell dualisation, we present a general class of free, topological theories in three dimensional Minkowski spacetime that exhibit higher-spin gauge invariance. In the spin-two case,…

High Energy Physics - Theory · Physics 2023-12-07 Nicolas Boulanger , Andrea Campoleoni , Victor Lekeu , Evgeny Skvortsov

We evaluate one-loop partition functions of higher-spin fields in thermal flat space with angular potentials; this computation is performed in arbitrary space-time dimension, and the result is a simple combination of Poincar\'e characters.…

High Energy Physics - Theory · Physics 2016-05-04 Andrea Campoleoni , Hernan A. Gonzalez , Blagoje Oblak , Max Riegler

We study the higher-spin gauge theory in six-dimensional anti-de Sitter space $AdS_6$ that is based on the exceptional Lie superalgebra $F(4)$. The relevant higher-spin algebra was constructed in arXiv:1409.2185 [hep-th]. We determine the…

High Energy Physics - Theory · Physics 2017-09-12 Murat Gunaydin , E. D. Skvortsov , Tung Tran

We investigate asymptotic symmetries in flat backgrounds of dimension higher than or equal to four. For spin two we provide the counterpart of the extended BMS transformations found by Campiglia and Laddha in four-dimensional Minkowski…

High Energy Physics - Theory · Physics 2021-02-03 Andrea Campoleoni , Dario Francia , Carlo Heissenberg

We propose a method of construction of a cubic interaction in massless Higher Spin gauge theory both in flat and in AdS space-times of arbitrary dimensions. We consider a triplet formulation of the Higher Spin gauge theory and generalize…

High Energy Physics - Theory · Physics 2008-11-26 I. L. Buchbinder , A. Fotopoulos , A. C. Petkou , M. Tsulaia

Several results related to flat Friedmann-Lema\^{\i}tre-Robertson-Walker models in the conformal (Einstein) frame of scalar-tensor gravity theories are extended. Scalar fields with arbitrary (positive) potentials and arbitrary coupling…

General Relativity and Quantum Cosmology · Physics 2014-10-14 Carlos R. Fadragas , Genly Leon

We focus on the geometrical reformulation of free higher spin supermultiplets in $4\rm{D},~\mathcal{N}=1$ flat superspace. We find that there is a de Wit-Freedman like hierarchy of superconnections with simple gauge transformations. The…

High Energy Physics - Theory · Physics 2021-01-04 I. L. Buchbinder , S. James Gates , K. Koutrolikos

Chiral higher spin gravity is defined in terms of a strong homotopy algebra of pre-Calabi-Yau type (noncommutative Poisson structure). All structure maps are given by the integrals over the configuration space of concave polygons and the…

High Energy Physics - Theory · Physics 2024-09-19 Alexey Sharapov , Evgeny Skvortsov , Richard Van Dongen

A contribution to the collection of reviews "Introduction to Higher Spin Theory" edited by S. Fredenhagen, this introductory article is a pedagogical account of higher-spin fields and their connections with String Theory. We start with the…

High Energy Physics - Theory · Physics 2016-04-19 Rakibur Rahman , Massimo Taronna

The ${\cal R}^2$ scale invariant gravity theory coupled to conformally invariant matter is investigated. We show that in the non-supersymmetric case the conformally coupled scalars belong to an $SO(1, 1+n)/SO(1+n)$ manifold, while in the…

High Energy Physics - Theory · Physics 2016-01-20 Costas Kounnas , Dieter Lüst , Nicolaos Toumbas

We present and discuss near horizon boundary conditions for flat space higher-spin gravity in three dimensions. As in related work our boundary conditions ensure regularity of the solutions independently of the charges. The asymptotic…

High Energy Physics - Theory · Physics 2019-01-29 Martin Ammon , Daniel Grumiller , Stefan Prohazka , Max Riegler , Raphaela Wutte

We propose a new class of conformal higher spin gravities in three dimensions, which extends the one by Pope and Townsend. The main new feature is that there are infinitely many examples of the new theories with a finite number of higher…

High Energy Physics - Theory · Physics 2020-01-29 Maxim Grigoriev , Iva Lovrekovic , Evgeny Skvortsov

A remarkable feature of the models with interactions exhibiting higher-spin (HS) gauge symmetries in $d>2$ is that their most symmetric vacua require (anti)-de Sitter (AdS) geometry rather than the flat one. In striking parallelism to what…

High Energy Physics - Theory · Physics 2011-08-03 Sergey Prokushkin , Mikhail Vasiliev

Covariant Lagrangian formulation for free bosonic massless fields of arbitrary mixed-symmetry type in (A)dS(d) space-time is presented. The analysis is based on the frame-like formulation of higher-spin field dynamics [1] with higher-spin…

High Energy Physics - Theory · Physics 2009-11-11 K. B. Alkalaev , O. V. Shaynkman , M. A. Vasiliev

Chiral Higher Spin Gravity is the minimal extension of the graviton with propagating massless higher spin fields. It admits any value of the cosmological constant, including zero. Its existence implies that Chern-Simons vector models have…

High Energy Physics - Theory · Physics 2023-06-21 Alexey Sharapov , Evgeny Skvortsov , Richard Van Dongen

Using Wigner-deformed Heisenberg oscillators, we construct 3D Chern--Simons models consisting of fractional-spin fields coupled to higher-spin gravity and internal non-abelian gauge fields. The gauge algebras consist of Lorentz-tensorial…

High Energy Physics - Theory · Physics 2015-06-18 Nicolas Boulanger , Per Sundell , Mauricio Valenzuela
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