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In this paper we discuss in detail the frame-like formulation of free bosonic massless higher-spin fields of general symmetry type in AdS(d), announced recently in hep-th/0311164, hep-th/0501108. Properties of gauge invariant and AdS…

High Energy Physics - Theory · Physics 2011-03-07 K. B. Alkalaev , O. V. Shaynkman , M. A. Vasiliev

Using the light-cone gauge approach to relativistic field dynamics, we study arbitrary spin fermionic and bosonic fields propagating in flat space of dimension greater than or equal to four. Generating functions of parity invariant cubic…

High Energy Physics - Theory · Physics 2015-05-13 R. R. Metsaev

Building on our recent derivation of the Ward-Schwinger-Dyson equations for the cubic interaction model, we present here the first steps of their resurgent analysis. In our derivation of the WSD equations, we made sure that they had the…

High Energy Physics - Theory · Physics 2021-08-12 Marc P. Bellon , Enrico I. Russo

In this note we provide some details on the quasi-local field redefinitions which map interactions extracted from Vasiliev's equations to those obtained via holographic reconstruction. Without loss of generality, we focus on the source to…

High Energy Physics - Theory · Physics 2017-01-23 Massimo Taronna

The low energy behaviour of the 2d antiferromagnetic Heisenberg model is studied in the sector with total spins $S=0,1,2$ by means of a renormalization group procedure, which generates a recursion formula for the interaction matrix…

Strongly Correlated Electrons · Physics 2009-12-14 A. Fledderjohann , A. Klümper , K. H. Mütter

By transforming from the pure-spin-orbital ($t_{\rm 2g}$) basis to the spin-orbital entangled pseudo-spin-orbital basis, the pseudo-spin rotation symmetry of the different Coulomb interaction terms is investigated under SU(2) transformation…

Strongly Correlated Electrons · Physics 2021-07-05 Shubhajyoti Mohapatra , Avinash Singh

We deduce a non-linear commutator higher-spin (HS) symmetry algebra which encodes unitary irreducible representations of the AdS group -- subject to a Young tableaux $Y(s_1,\ldots ,s_k)$ with $k\geq 2$ rows -- in a $d$-dimensional…

High Energy Physics - Theory · Physics 2023-11-28 A. Reshetnyak , P. Moshin

One of the possible approaches to the construction of massive higher spin interactions is to use their gauge invariant description based on the introduction of the appropriate set of Stueckelberg fields. Recently, the general properties of…

High Energy Physics - Theory · Physics 2021-09-01 M. V. Khabarov , Yu. M. Zinoviev

The Lagrangian frame-like formulation of free higher spin symmetric bosonic AdS(d) fields is given within a manifestly sp(2) invariant framework. It is designed to deal with infinite multiplets of fields appearing as gauge connections of…

High Energy Physics - Theory · Physics 2008-11-07 K. B. Alkalaev

We address the issue of consistent interactions for off-shell fermion fields of arbitrary spin. These interactions play a crucial role in the quantum hadrodynamical description of high-spin baryon resonances in hadronic processes. The…

Nuclear Theory · Physics 2015-03-19 Tom Vrancx , Lesley De Cruz , Jan Ryckebusch , Pieter Vancraeyveld

The form of higher-spin current interactions in the sector of one-forms is derived from the nonlinear higher-spin equations in $AdS_4$. Quadratic corrections to higher-spin equations are shown to be independent of the phase of the parameter…

High Energy Physics - Theory · Physics 2018-06-13 O. A. Gelfond , M. A. Vasiliev

The structure of a cubic Lagrangian vertex is clarified for irreducible fields of helicities $s_1, s_2, s_3$ in a $d$-dimensional Minkowski space. An explicit form of the operator $\mathcal{Z}_j$ entering the vertex in a non-multiplicative…

High Energy Physics - Theory · Physics 2022-10-03 A. A. Reshetnyak

We consider the minimal interacting theory of a single tower of spin j=0,2,4,... massless Fronsdal fields in flat space for which consistent covariant cubic interaction vertices are known. We address the question of constraints on possible…

High Energy Physics - Theory · Physics 2017-05-24 R. Roiban , A. A. Tseytlin

Can the holographic principle be extended beyond the well known AdS/CFT correspondence? During the last couple of years there has been a substantial amount of research trying to find answers for this question. In this work we provide a…

High Energy Physics - Theory · Physics 2018-01-30 Stefan Prohazka , Max Riegler

We experimentally and theoretically investigate the dephasing rates of the coherent evolution of a resonantly driven pseudo spin emersed in a reservoir of pseudo spins. The pseudo spin is realized by optically exciting 87 Rb atoms to a…

Quantum Physics · Physics 2009-05-17 U. Raitzsch , R. Heidemann , H. Weimer , V. Bendkowsky , B. Butscher , P. Kollmann , R. Löw , H. P. Büchler , T. Pfau

We consider a free massless scalar field coupled to an infinite tower of background higher-spin gauge fields via minimal coupling to the traceless conserved currents. The set of Abelian gauge transformations is deformed to the non-Abelian…

High Energy Physics - Theory · Physics 2011-02-22 Xavier Bekaert , Euihun Joung , Jihad Mourad

Following arXiv:1308.2337, we carry out one loop tests of higher spin AdS$_{d+1}$/CFT$_d$ correspondences for $d\geq 2$. The Vasiliev theories in AdS$_{d+1}$, which contain each integer spin once, are related to the $U(N)$ singlet sector of…

High Energy Physics - Theory · Physics 2014-04-23 Simone Giombi , Igor R. Klebanov , Benjamin R. Safdi

A discrete Hubbard-Stratonovich transformation is presented for systems with an orbital degeneracy $N$ and a Hubbard Coulomb interaction without multiplet effects. An exact transformation is obtained by introducing an external field which…

Strongly Correlated Electrons · Physics 2009-10-30 O. Gunnarsson , E. Koch

In the context of higher-spin holography, we compare the classification of cubic interaction vertices for higher-spin gravity theories in three dimensions to the possible three-point correlation functions of conserved higher-spin currents…

High Energy Physics - Theory · Physics 2019-09-25 Stefan Fredenhagen , Olaf Krüger , Karapet Mkrtchyan

Considering the recent advances, the weak correlation between the massive Kalb-Ramond and the Proca interacting models is investigated by means of a set of complementary quantum field techniques beyond the semi-classical approach. A…

High Energy Physics - Theory · Physics 2024-03-14 G. B. de Gracia
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