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Assuming locality, Lorentz invariance and parity conservation we obtain a set of differential equations governing the 3-point interactions of massless bosons, which in turn determines the polynomial ring of these amplitudes. We derive all…

High Energy Physics - Theory · Physics 2019-01-23 Zhengdi Sun , Hui Xu , Yeuk-Kwan E. Cheung

The ambient space of dimension d+2 allows to formulate both fields on AdS(d+1) and conformal fields in d dimensions such that the symmetry algebra o(d,2) is realized linearly. We elaborate an ambient approach to the boundary analysis of…

High Energy Physics - Theory · Physics 2015-06-05 Xavier Bekaert , Maxim Grigoriev

The symmetry algebra of massless fields living on the 3-dimensional conformal boundary of AdS(4) is shown to be isomorphic to 3d conformal higher spin algebra (AdS(4) higher spin algebra). A simple realization of this algebra on the free…

High Energy Physics - Theory · Physics 2007-05-23 O. V. Shaynkman

AdS/CFT duality is a conjectured dual correspondence between the large $N$ limit of Conformal Field Theory (CFT) in $d$-dimensions and the supergravity (SUGRA) in $d+1$-dimensional Anti de Sitter (AdS) space. By using this conjecture, we…

High Energy Physics - Theory · Physics 2007-05-23 Sachiko Ogushi

Modular invariance strongly constrains the spectrum of states of two dimensional conformal field theories. By summing over the images of the modular group, we construct candidate CFT partition functions that are modular invariant and have…

High Energy Physics - Theory · Physics 2015-06-22 Christoph A. Keller , Alexander Maloney

In this paper we elaborate on the gauge invariant frame-like Lagrangian description for the wide class of the so-called infinite (or continuous) spin representations of Poincar\'e group. We use our previous results on the gauge invariant…

High Energy Physics - Theory · Physics 2018-03-14 M. V. Khabarov , Yu. M. Zinoviev

We develop the BRST approach to Lagrangian formulation for massive bosonic and massless fermionic higher spin fields on a flat space-time of arbitrary dimension. General procedure of gauge invariant Lagrangian construction describing the…

High Energy Physics - Theory · Physics 2007-05-23 I. L Buchbinder , V. A. Krykhtin

We provide an explicit Lagrangian construction for the massless infinite spin N=1 supermultiplet in four dimensional Minkowski space. Such a supermultiplet contains a pair of massless bosonic and a pair of massless fermionic infinite spin…

High Energy Physics - Theory · Physics 2019-09-04 I. L. Buchbinder , M. V. Khabarov , T. V. Snegirev , Yu. M. Zinoviev

We consider a system of nonlinear spinor and scalar fields with minimal coupling in general relativity. The nonlinearity in the spinor field Lagrangian is given by an arbitrary function of the invariants generated from the bilinear spinor…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bijan Saha , G. N. Shikin

We consider the Sp(2n) invariant formulation of higher spin fields on flat and curved backgrounds of constant curvature.In this formulation an infinite number of higher spin fields are packed into single scalar and spinor master fields…

High Energy Physics - Theory · Physics 2014-09-10 Ioannis Florakis , Dmitri Sorokin , Mirian Tsulaia

The wave function in the quantum theory of the O(N) extended supersymmetric particle model describes a massless free field with spin N/2. This quantum theory is here exactly solved in terms of gauge fields in arbitrary even dimensions using…

High Energy Physics - Theory · Physics 2009-06-12 Robert Marnelius

The AdS/CFT correspondence is an exact duality between string theory in anti-de Sitter space and conformal field theories on its boundary. Inspired in this correspondence some relations between strings and non conformal field theories have…

High Energy Physics - Theory · Physics 2007-05-23 Henrique Boschi-Filho , Nelson R. F. Braga

We consider the frame-like formulation of reducible sets of totally symmetric bosonic and fermionic higher-spin fields in flat and AdS backgrounds of any dimension, that correspond to so-called higher-spin triplets resulting from the…

High Energy Physics - Theory · Physics 2008-12-18 Dmitri P. Sorokin , Mikhail A. Vasiliev

The generalized connections of the (anti)-de Sitter space symmetry algebra, which are differential forms of arbitrary degree with values in any irreducible (spin)-tensor representation of the (anti)-de Sitter algebra, are studied. It is…

High Energy Physics - Theory · Physics 2009-09-28 E. D. Skvortsov

The Anti-de Sitter Space/Conformal Field Theory (AdS/CFT) correspondence may offer new and useful insights into the non-perturbative regime of strongly coupled gauge theories such as Quantum Chromodynamics (QCD). Recently a modified…

High Energy Physics - Phenomenology · Physics 2011-02-25 Thomas M. Kelley , Sean P. Bartz , Joseph I. Kapusta

We solve the problem of constructing consistent first-order cross-interactions between spin-2 and spin-3 massless fields in flat spacetime of arbitrary dimension n > 3 and in such a way that the deformed gauge algebra is non-Abelian. No…

High Energy Physics - Theory · Physics 2009-11-11 Nicolas Boulanger , Serge Leclercq

Cubic vertices for symmetric higher-spin gauge fields of integer spins in $(A)dS_d$ are analyzed. $(A)dS_d$ generalization of the previously known action in $AdS_4$, that describes cubic interactions of symmetric massless fields of all…

High Energy Physics - Theory · Physics 2015-05-30 Mikhail A. Vasiliev

The most general theory of gravity in d-dimensions which leads to second order field equations for the metric has [(d-1)/2] free parameters. It is shown that requiring the theory to have the maximum possible number of degrees of freedom,…

High Energy Physics - Theory · Physics 2009-10-31 Ricardo Troncoso , Jorge Zanelli

We define a holographic dual to the Donaldson-Witten topological twist of $\mathcal{N}=2$ gauge theories on a Riemannian four-manifold. This is described by a class of asymptotically locally hyperbolic solutions to $\mathcal{N}=4$ gauged…

High Energy Physics - Theory · Physics 2019-07-30 Pietro Benetti Genolini , Paul Richmond , James Sparks

We present a complete basis to study gauged curvature-squared supergravity in five dimensions. We replace the conventional ungauged Riemann-squared action with a new Log-invariant, offering a comprehensive framework for all gauged…

High Energy Physics - Theory · Physics 2023-10-03 Gregory Gold , Jessica Hutomo , Saurish Khandelwal , Mehmet Ozkan , Yi Pang , Gabriele Tartaglino-Mazzucchelli