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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 explore the symmetry-broken phase of the self-dual (chiral) sector of higher-spin theory in four dimensions. To that end, we construct a two-parameter vacuum that breaks the AdS symmetry but remains symmetric under the leftover…

High Energy Physics - Theory · Physics 2025-09-03 V. E. Didenko , I. S. Faliakhov

The details of Lagrangian description of irreducible integer higher-spin representations of the Poincare group with an Young tableaux $Y[\hat{s}_1,\hat{s}_2]$ having $2$ columns are considered for Bose particles propagated on an arbitrary…

High Energy Physics - Theory · Physics 2014-12-11 Alexander A. Reshetnyak

We introduce a covariant non-commutative deformation of 3+1-dimensional conformal field theory. The deformation depends on a short-distance scale \ell_p, and thus breaks scale invariance, but preserves all space-time isometries. The…

High Energy Physics - Theory · Physics 2015-06-18 Jonathan Heckman , Herman Verlinde

We deform the AdS/CFT Correspondence by the inclusion of a non-supersymmetric scalar mass operator. We discuss the behaviour of the dual 5 dimensional supergravity field then lift the full solution to 10 dimensions. Brane probing the…

High Energy Physics - Theory · Physics 2010-02-03 James Babington , David E. Crooks , Nick Evans

The higher spin interaction currents for the conformally coupled scalar in $AdS_{4}$ space for both regular and irregular boundary condition corresponding to the free and interacting critical point of the boundary O(N) sigma model are…

High Energy Physics - Theory · Physics 2009-11-10 R. Manvelyan , W. Ruehl

We explore the conjectured duality between the critical O(N) vector model and minimal bosonic massless higher spin (HS) theory in AdS. In the boundary free theory, the conformal partial wave expansion (CPWE) of the four-point function of…

High Energy Physics - Theory · Physics 2009-11-11 Danilo E. Diaz , Harald Dorn

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

Generating functions encoding cubic interactions of (partially-)massless higher-spin fields are provided within the ambient-space formalism. They satisfy a system of higher-order partial differential equations that can be explicitly solved…

High Energy Physics - Theory · Physics 2015-06-12 Euihun Joung , Luca Lopez , Massimo Taronna

We consider anisotropic long-range interacting spin systems in $d$ dimensions. The interaction between the spins decays with the distance as a power law with different exponents in different directions: we consider an exponent…

Statistical Mechanics · Physics 2016-12-14 Nicolò Defenu , Andrea Trombettoni , Stefano Ruffo

Using on-shell gauge invariant formulation of relativistic dynamics we study interaction vertices for a massive spin 5/2 Dirac field propagating in (A)dS space of dimension greater than or equal to four. Gravitational interaction vertex for…

High Energy Physics - Theory · Physics 2008-11-26 R. R. Metsaev

We build the asymptotic higher-spin charges associated with "improper" gauge transformations for fermionic higher-spin gauge fields on Anti de Sitter backgrounds of arbitrary dimension. This is achieved within the canonical formalism. We…

High Energy Physics - Theory · Physics 2017-03-08 Andrea Campoleoni , Marc Henneaux , Sergio Hörtner , Amaury Leonard

We derive cubic interaction vertices for a class of higher-derivative theories involving three arbitrary integer spin fields. This derivation uses the requirement of closure of the Poincar\`e algebra in four-dimensional flat spacetime. We…

High Energy Physics - Theory · Physics 2024-05-14 Sudarshan Ananth , Nipun Bhave , Chetan Pandey , Saurabh Pant

An NJL-type three-flavor quark model with a complete set of explicit chiral symmetry breaking terms is extended to include vector and axial vector effective interaction terms. The bosonized Lagrangian is written up to quadratic order in the…

High Energy Physics - Phenomenology · Physics 2018-04-23 Jorge Morais , Brigitte Hiller , Alexander A. Osipov

A physical and geometrical interpretation of previously introduced tensor operator algebras of U(2,2) in terms of algebras of higher-conformal-spin quantum fields on the anti-de Sitter space AdS_5 is provided. These are higher-dimensional…

High Energy Physics - Theory · Physics 2009-11-07 M. Calixto

We determine the boundary terms of the free higher-spin action which reproduce the AdS Fronsdal equations in an AdS manifold with a finite distance boundary. The boundary terms are further constrained by the gauge invariance of the total…

High Energy Physics - Theory · Physics 2015-06-03 Euihun Joung , Jihad Mourad

Totally symmetric arbitrary spin conformal fields in (A)dS space of even dimension greater than or equal to four are studied. Ordinary-derivative and gauge invariant Lagrangian formulation for such fields is obtained. Gauge symmetries are…

High Energy Physics - Theory · Physics 2014-09-02 R. R. Metsaev

We propose that maximal depth, partially massless, higher spin excitations can mediate charged matter interactions in a de Sitter universe. The proposal is motivated by similarities between these theories and their traditional Maxwell…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , A. Waldron

In this paper we derive holographic wave equations for hadrons with arbitrary spin starting from an effective action in a higher-dimensional space asymptotic to anti-de Sitter (AdS) space. Our procedure takes advantage of the local tangent…

High Energy Physics - Phenomenology · Physics 2013-04-10 Guy F. de Teramond , Hans Gunter Dosch , Stanley J. Brodsky

In this paper, we continue our investigation of gravitational interactions for massive higher spins extending our previous work on massive spin 3/2 and spin 2 to massive spin 5/2, including partially massless and massless limits. We use the…

High Energy Physics - Theory · Physics 2025-10-17 Yu. M. Zinoviev