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We study the general structure of correlation functions in an Sp(2n)-invariant formulation of systems of an infinite number of higher-spin fields. For n=4,8 and 16 these systems comprise the conformal higher-spin fields in space-time…

High Energy Physics - Theory · Physics 2016-08-16 E. D. Skvortsov , Dmitri Sorokin , Mirian Tsulaia

In this paper we elaborate on higher spin cubic interactions for massless, massive and partially massless fields. We work in the gauge invariant frame-like multispinor formalism, combining Lagrangian and unfolded formulations.

High Energy Physics - Theory · Physics 2021-11-09 Yu. M. Zinoviev

The 3D Ising model and the generalized free scalar of dimension at least 0.75 belong to a continuous line of nonlocal fixed points, each referred to as a long-range Ising model. They can be distinguished by the dimension of the lightest…

High Energy Physics - Theory · Physics 2019-01-25 Connor Behan

This Thesis reviews some recent developments about higher-spin interactions in flat and constant curvature backgrounds. Particular attention is given to the ambient-space formulation of the problem, both at the cubic and at the quartic…

High Energy Physics - Theory · Physics 2012-11-08 Massimo Taronna

In this thesis we investigate the effective actions for massive Kaluza-Klein states, focusing on the massive modes of spin-3/2 and spin-2 fields. To this end we determine the spontaneously broken gauge symmetries associated to these `higher…

High Energy Physics - Theory · Physics 2007-05-23 Olaf Hohm

In this paper we investigate electromagnetic interactions for massive spin 2 particles in (A)dS space at linear approximation using gauge invariant description for such massive particles. We follow bottom-up approach, i.e. we begin with the…

High Energy Physics - Theory · Physics 2009-09-28 Yu. M. Zinoviev

The local form of higher-spin equations found recently to the second order [1] is shown to properly reproduce the anticipated $AdS/CFT$ correlators for appropriate boundary conditions. It is argued that consistent $AdS/CFT$ holography for…

High Energy Physics - Theory · Physics 2017-12-06 V. E. Didenko , M. A. Vasiliev

We study perturbation theory for spin foam models on triangulated manifolds. Starting with any model of this sort, we consider an arbitrary perturbation of the vertex amplitudes, and write the evolution operators of the perturbed model as…

General Relativity and Quantum Cosmology · Physics 2023-03-07 John C. Baez

We consider the twistor description of conformal higher spin theories and give twistor space actions for the self-dual sector of theories with spin greater than two that produce the correct flat space-time spectrum. We identify a ghost-free…

High Energy Physics - Theory · Physics 2017-11-22 Philipp Haehnel , Tristan McLoughlin

We study the classical solutions of three dimensional topologically massive gravity (TMG) and its higher spin generalization, in the first order formulation. The action of higher spin TMG has been proposed in arXiv:1110.5113 to be of a…

High Energy Physics - Theory · Physics 2015-06-04 Bin Chen , Jiang Long , Jian-dong Zhang

Interacting AdS_4 higher spin gauge theories with N \geq 1 supersymmetry so far have been formulated as constrained systems of differential forms living in a twistor extension of 4D spacetime. Here we formulate the minimal N=1 theory in…

High Energy Physics - Theory · Physics 2010-04-05 J. Engquist , E. Sezgin , P. Sundell

Four-dimensional state space geometry is worked out for the exactly solved one-dimensional spin-3/2 lattice with a Blume-Emery-Griffiths (BEG) Hamiltonian as well as a more general one with a term containing a non-zero field coupling to the…

Statistical Mechanics · Physics 2023-06-13 Riekshika Sanwari , Soumen Khatua , Anurag Sahay

Lorentz covariant generalisations of the notions of supersymmetry, superspace and self-duality are discussed. The essential idea is to extend standard constructions by allowing tangent vectors and coordinates which transform according to…

High Energy Physics - Theory · Physics 2009-10-31 Chandrashekar Devchand , Jean Nuyts

We show explicitly how the exact renormalization group equation of interacting vector models in the large N limit can be mapped into certain higher-spin equations of motion. The equations of motion are generalized to incorporate a…

High Energy Physics - Theory · Physics 2013-07-29 Leopoldo A. Pando Zayas , Cheng Peng

We use a recently proposed covariant procedure to reduce the Chern-Simons action of three-dimensional higher-spin gravity to the boundary, resulting in a Lorentz covariant action for higher-order chiral scalars. After gauge-fixing, we…

High Energy Physics - Theory · Physics 2025-04-15 Calvin Yi-Ren Chen , Euihun Joung , Karapet Mkrtchyan , Junggi Yoon

We propose a description of continuous spin massless fields of mixed-symmetry type in Minkowski space at the level of equations of motion. It is based on the appropriately modified version of the constrained system originally used to…

High Energy Physics - Theory · Physics 2018-04-04 K. B. Alkalaev , M. A. Grigoriev

We review the construction of free gauge theories for gauge fields in arbitrary representations of the Lorentz group in $D$ dimensions. We describe the multi-form calculus which gives the natural geometric framework for these theories. We…

High Energy Physics - Theory · Physics 2007-05-23 D. Francia , C. M. Hull

We propose field equations for the conformal higher spin system in three dimensions coupled to a conformal scalar field with a sixth order potential. Both the higher spin equation and the unfolded equation for the scalar field have source…

High Energy Physics - Theory · Physics 2016-09-21 Bengt E. W. Nilsson

Some puzzling aspects of higher spin field theory in Minkowski space-time, such as the tracelessness constraints and the search for an underlying physical principle, are discussed. A connecting idea might be provided by the recently much…

High Energy Physics - Theory · Physics 2015-06-15 Anders K. H. Bengtsson

We show that the recently proposed equations for holomorphic sector of higher-spin theory in $d=4$, also known as chiral, can be naturally extended to describe interacting symmetric higher-spin gauge fields in any dimension. This is…

High Energy Physics - Theory · Physics 2024-04-05 V. E. Didenko , A. V. Korybut