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Carrollian conformal field theories (carrollian CFTs) are natural field theories on null infinity of an asymptotically flat spacetime or, in general, geometries with conformal carrollian structure. Using a basis transformation,…

High Energy Physics - Theory · Physics 2023-11-13 Jakob Salzer

We consider the collapse of a charged radiation fluid in a Planck-suppressed quadratic extension of General Relativity (GR) formulated \`{a} la Palatini. We obtain exact analytical solutions that extend the charged Vaidya-type solution of…

High Energy Physics - Theory · Physics 2014-03-06 Francisco S. N. Lobo , Jesus Martinez-Asencio , Gonzalo J. Olmo , D. Rubiera-Garcia

We investigate the (conformally coupled) scalar field on a general Carrollian spacetime in arbitrary dimension. The analysis discloses electric and magnetic dynamics. For both, we provide the energy and the momenta of the field, accompanied…

High Energy Physics - Theory · Physics 2022-10-12 David Rivera-Betancour , Matthieu Vilatte

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

The Poincar\'e sector of a recently deformed conformal algebra is proposed to describe, after the identification of the deformation parameter with the Planck length, the symmetries of a new relativistic theory with two observer-independent…

High Energy Physics - Theory · Physics 2016-11-09 Nicola Rossano Bruno

The chiral algebra of the symmetric product orbifold of a single-boson CFT corresponds to a "higher spin square" algebra in the large $N$ limit. In this note, we show that a symmetrized collection of $N$ bosons defines a similar structure…

High Energy Physics - Theory · Physics 2018-02-14 Menika Sharma

The pp-wave (Penrose limit) in conformal field theory can be viewed as a special contraction of the unitary representations of the conformal group. We study the kinematics of conformal fields in this limit in a geometric approach where the…

High Energy Physics - Theory · Physics 2009-11-07 G. Arutyunov , E. Sokatchev

We construct, for the first time, an off-shell supersymmetric continuous spin gauge theory in 4-dimensional Minkowski spacetime, in both constrained and unconstrained Lagrangian formulations. As an extension to the on-shell description [1],…

High Energy Physics - Theory · Physics 2022-02-08 Mojtaba Najafizadeh

It is often expected that one cannot treat spacetime as a continuous manifold as the Planck scale is approached, because of to possible effects due to a quantum theory of gravity. There have been several proposals to model such a deviation…

General Relativity and Quantum Cosmology · Physics 2023-01-23 Andrea Bevilacqua

The linearized spectrum and the algebra of global symmetries of conformal higher-spin gravity decompose into infinitely many representations of the conformal algebra. Their characters involve divergent sums over spins. We propose a suitable…

High Energy Physics - Theory · Physics 2018-12-26 Thomas Basile , Xavier Bekaert , Euihun Joung

We develop an Hamiltonian representation of the sl(2,C) algebra on a phase space consisting of N copies of twistors, or bi-spinors. We identify a complete set of global invariants, and show that they generate a closed algebra including…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Maité Dupuis , Laurent Freidel , Etera R. Livine , Simone Speziale

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

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 classify a one-parameter family, $\mathfrak{confcarr}_z(d+1)$, of conformal extensions of the Carroll algebra in arbitrary dimension with $z$ being the anisotropic scaling exponent. We further obtain their infinite-dimensional…

High Energy Physics - Theory · Physics 2025-03-11 Hamid Afshar , Xavier Bekaert , Mojtaba Najafizadeh

When spacetime is considered as a subspace of a wider complex spacetime manifold, there is a mismatch of the elementary linear representations of their symmetry groups, the real and complex Poincar\'{e} groups. In particular, no spinors are…

High Energy Physics - Theory · Physics 2025-11-21 R. Vilela Mendes

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

This paper is the third of a series of three, and it is the continuation of math-ph/0412074 and math-ph/0412075. After reviewing the conformal spacetime structure, conformal maps are described in Minkowski spacetime as the twisted adjoint…

Mathematical Physics · Physics 2014-10-03 Roldao da Rocha , Jayme Vaz

We argue that generic field theories defined on null manifolds should have an emergent BMS or conformal Carrollian structure. We then focus on a simple interacting conformal Carrollian theory, viz. Carrollian scalar electrodynamics. We look…

High Energy Physics - Theory · Physics 2020-03-18 Arjun Bagchi , Rudranil Basu , Aditya Mehra , Poulami Nandi

We build upon previous investigation of the one-dimensional conformal symmetry of the Friedman-Lema\^ itre-Robertson-Walker (FLRW) cosmology of a free scalar field and make it explicit through a reformulation of the theory at the classical…

General Relativity and Quantum Cosmology · Physics 2020-05-27 Jibril Ben Achour , Etera R. Livine

It was recently shown that the homogeneous and isotropic cosmology of a massless scalar field coupled to general relativity exhibits a new hidden conformal invariance under Mobius transformation of the proper time, additionally to the…

General Relativity and Quantum Cosmology · Physics 2020-02-28 Jibril Ben Achour , Etera R. Livine