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This thesis is devoted to the construction of theories describing the consistent propagation of (super)conformal higher-spin fields on curved three- and four-dimensional (super)spaces. In the first half of this thesis we systematically…

High Energy Physics - Theory · Physics 2022-01-26 Michael Ponds

We revisit the problem of building consistent interactions for a multiplet of partially massless spin-2 fields in (anti-)de Sitter space. After rederiving and strengthening the existing no-go result on the impossibility of Yang-Mills type…

High Energy Physics - Theory · Physics 2020-02-26 Nicolas Boulanger , Cédric Deffayet , Sebastian Garcia-Saenz , Lucas Traina

In this paper we show how a gravitational field generated by a given energy-momentum distribution (for all realistic cases) can be represented by distinct geometrical structures (Lorentzian, teleparallel and non null nonmetricity…

Mathematical Physics · Physics 2014-11-20 E. A. Notte-Cuello , R. da Rocha , W. A. Rodrigues

We consider 2+1 gravity minimally coupled to a self-interacting scalar field. The case in which the fall-off of the fields at infinity is slower than that of a localized distribution of matter is analyzed. It is found that the asymptotic…

High Energy Physics - Theory · Physics 2009-11-07 Marc Henneaux , Cristian Martinez , Ricardo Troncoso , Jorge Zanelli

Infinite set of higher spin conserved charges is found for the $sp(2M)$ symmetric dynamical systems in $\f{1}{2} M (M+1)$-dimensional generalized spacetime $\M_M$. Since the dynamics in $\M_M$ is equivalent to the conformal dynamics of…

High Energy Physics - Theory · Physics 2007-05-23 M. A. Vasiliev

A closed mathematical model of the statistical self-gravitating system of scalar charged particles for conformal invariant scalar interactions is constructed on the basis of relativistic kinetics and gravitation theory. Asymptotic…

General Relativity and Quantum Cosmology · Physics 2015-08-13 Yurii Ignat'ev

The Kerr/CFT correspondence provides a holographic description of spinning black holes that exist in our universe, and the notion of hidden conformal symmetry allows for a formulation of this correspondence away from extremality. In this…

High Energy Physics - Theory · Physics 2021-12-30 Valentina Giangreco M. Puletti , Victoria L. Martin

The issues of scaling symmetry and critical point behavior are studied for fluctuations about extremal charged black holes. We consider the scattering and capture of the spherically symmetric mode of a charged, massive test field on the…

General Relativity and Quantum Cosmology · Physics 2013-11-13 Jennie Traschen

We review some of the problems associated with deriving field theoretic results from nonsupersymmetric AdS, focusing on how to control the behavior of the field theory along the flat directions. We discuss an example in which the origin of…

High Energy Physics - Theory · Physics 2008-11-26 M. Berkooz , A. Kapustin

This paper concerns the long-standing question of representing (totally) anti-symmetric functions in high dimensions. We propose a new ansatz based on the composition of an odd function with a fixed set of anti-symmetric basis functions. We…

Classical Analysis and ODEs · Mathematics 2025-01-10 Ziang Chen , Jianfeng Lu

We present a general construction of all correlation functions of a two-dimensional rational conformal field theory, for an arbitrary number of bulk and boundary fields and arbitrary topologies. The correlators are expressed in terms of…

High Energy Physics - Theory · Physics 2009-10-31 G. Felder , J. Fr"ohlich , J. Fuchs , C. Schweigert

Conformal theories in a d dimensional spacetime may be expressed as manifestly conformal theories in a d+2 dimensional conformal space as first proposed by Dirac. The reduction to d dimensions goes via the d+1 dimensional hypercone in the…

High Energy Physics - Theory · Physics 2007-05-23 Par Arvidsson , Robert Marnelius

Massive fields on anti-de Sitter (AdS) space enjoy galileon-like shift symmetries at particular values of their masses. We explore how these shift symmetries are realized through the boundary conformal field theory (CFT), at the level of…

High Energy Physics - Theory · Physics 2023-08-02 Erin Blauvelt , Laura Engelbrecht , Kurt Hinterbichler

We study the fusion of conformal interfaces in the c=1 conformal field theory. We uncover an elegant structure reminiscent of that of black holes in supersymmetric theories. The role of the BPS black holes is played by topological…

High Energy Physics - Theory · Physics 2008-11-26 C. Bachas , I. Brunner

We examine the question of scale versus conformal invariance on maximally symmetric curved backgrounds and study general 2-derivative conformally invariant free theories of vectors and tensors. For spacetime dimension $D>4$, these conformal…

High Energy Physics - Theory · Physics 2024-08-15 Kara Farnsworth , Kurt Hinterbichler , Ondrej Hulik

In this article we inspect the dynamics of classical field theories with a local conformal behavior. Our interest in the multisymplectic setting comes from its suitable description of field theories, and the conformal character has been…

Mathematical Physics · Physics 2022-01-05 Ogul Esen , Manuel de León , Cristina Sardón , Marcin Zając

I show that a particle structure in conformal field theory is incompatible with interactions. As a substitute one has particle-like exitations whose interpolating fields have in addition to their canonical dimension an anomalous…

High Energy Physics - Theory · Physics 2009-10-31 Bert Schroer

Massless higher-spin fields show no preference for any value of the cosmological constant in $3d$. All matter-free higher-spin gravities in 3d are equivalent to Chern-Simons theories with an appropriate choice of gauge algebra. For various…

High Energy Physics - Theory · Physics 2024-09-20 Alexey Sharapov , Evgeny Skvortsov , Arseny Sukhanov

In this paper we propose an algebraic formulation of group field theory and consider non-Fock representations based on coherent states. We show that we can construct representations with infinite number of degrees of freedom on compact base…

General Relativity and Quantum Cosmology · Physics 2018-06-13 Alexander Kegeles , Daniele Oriti , Casey Tomlin

The developments in this paper are concerned with nonholonomic field theories in the presence of symmetries. Having previously treated the case of vertical symmetries, we now deal with the case where the symmetry action can also have a…

Mathematical Physics · Physics 2008-11-26 J. Vankerschaver , D. Martin de Diego
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