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Current interaction of massless fields in four dimensions is shown to break sp (8) symmetry of free massless equations of all spins down to the conformal symmetry su (2,2). This breaking is in agreement with the form of nonlinear…

High Energy Physics - Theory · Physics 2016-07-20 O. A. Gelfond , M. A. Vasiliev

Cubic interactions of massive and partially-massless totally-symmetric higher-spin fields in any constant-curvature background of dimension greater than three are investigated. Making use of the ambient-space formalism, the consistency…

High Energy Physics - Theory · Physics 2015-06-04 Euihun Joung , Luca Lopez , Massimo Taronna

Consistency with position space OPE limit requires momentum space CFT correlators to have only total energy singularity. We show that this requirement gives a simple proof of the known result that the parity-odd structure cannot exist for…

High Energy Physics - Theory · Physics 2022-03-02 Sachin Jain , Renjan Rajan John , Abhishek Mehta , Dhruva K. S

We study systematically the conformal geometry of higher spin bosonic gauge fields in three spacetime dimensions. We recall the definition of the Cotton tensor for higher spins and establish a number of its properties that turn out to be…

High Energy Physics - Theory · Physics 2016-06-28 Marc Henneaux , Sergio Hörtner , Amaury Leonard

Conformal theory correlators are characterized by the spectrum and three- point functions of local operators. We present a formula which extracts this data as an analytic function of spin. In analogy with a classic formula due to Froissart…

High Energy Physics - Theory · Physics 2018-03-06 Simon Caron-Huot

We calculate correlation functions of the R-current or the stress-energy tensor T_{\mu\nu} with two non-protected operators dual to generic massive string states with rotation in S^5, in the context of the AdS/CFT correspondence. Field…

High Energy Physics - Theory · Physics 2015-06-12 George Georgiou , Bum-Hoon Lee , Chanyong Park

The conical defect solutions in higher-spin gauge theories on 2+1 dimensional space-times with AdS-asymptotics are conjectured to correspond to certain primary fields in the dual conformal field theory on the boundary. In this note we prove…

High Energy Physics - Theory · Physics 2015-06-16 Andrea Campoleoni , Stefan Fredenhagen

The three-point current correlation function in Euclidean spacetime for a strongly coupled system with non-Abelian global symmetry, $\langle J^a_i(x)J^b_j(y)J^c_k(z)\rangle$, is calculated from the weakly coupled AdS dual. The contribution…

High Energy Physics - Theory · Physics 2015-06-17 Kassahun Betre

Continuing our work hep-th/9609135 where a explicit formula for the two-point functions of the two dimensional Z-invariant Ising model were found. I obtain here different results for the higher correlation functions and several consistency…

High Energy Physics - Theory · Physics 2014-11-18 J. R. Reyes Martinez

In this paper we consider affine Toda systems defined on the half-plane and study the issue of integrability, i.e. the construction of higher-spin conserved currents in the presence of a boundary perturbation. First at the classical level…

High Energy Physics - Theory · Physics 2016-09-06 S. Penati , D. Zanon

We construct approximate formulas for the O(\alpha_s^3) QCD contributions to vector, axial-vector, scalar and pseudo-scalar quark current correlators, which are valid for arbitrary values of momenta and masses. The derivation is based on…

High Energy Physics - Phenomenology · Physics 2009-10-02 Y. Kiyo , A. Maier , P. Maierhoefer , P. Marquard

We study the 3D Edwards-Anderson spin glasses, by analyzing spin-spin correlation functions in thermalized spin configurations at low T on large lattices. We consider individual disorder samples and analyze connected clusters of very…

Disordered Systems and Neural Networks · Physics 2015-03-20 A. Billoire , A. Maiorano , E. Marinari

String Theory includes a plethora of higher-spin excitations, which clearly lie behind its most spectacular properties, but whose detailed behavior is largely unknown. Conversely, string interactions contain much useful information on…

High Energy Physics - Theory · Physics 2014-11-21 A. Sagnotti , M. Taronna

Local higher-spin conserved currents are constructed in the supersymmetric sigma models with target manifolds symmetric spaces $G/H$. One class of currents is based on generators of the de Rham cohomology ring of $G/H$; a second class of…

High Energy Physics - Theory · Physics 2010-04-05 J. M. Evans , C. A. S. Young

We study local, higher-spin conserved currents in integrable $2d$ sigma models that have been deformed via coupling to auxiliary fields. These currents generate integrability-preserving flows introduced by Smirnov and Zamolodchikov. For…

High Energy Physics - Theory · Physics 2025-04-25 Daniele Bielli , Christian Ferko , Michele Galli , Gabriele Tartaglino-Mazzucchelli

We study the compatibility between the conformal symmetry together with the unitarity and the continuous higher-form symmetries. We show that the d-dimensional unitary conformal field theories are not consistent with continuous p-form…

High Energy Physics - Theory · Physics 2021-10-13 Yasunori Lee , Yunqin Zheng

We reduce the computation of three point function of three spinning operators with arbitrary polarizations to a statistical mechanics problem via the hexagon formalism. The central building block of these correlation functions is the…

High Energy Physics - Theory · Physics 2022-10-19 Carlos Bercini , Vasco Goncalves , Alexandre Homrich , Pedro Vieira

We introduce prepotentials for fermionic higher-spin gauge fields in four spacetime dimensions, generalizing earlier work on bosonic fields. To that end, we first develop tools for handling conformal fermionic higher-spin gauge fields in…

High Energy Physics - Theory · Physics 2018-12-05 Marc Henneaux , Victor Lekeu , Amaury Leonard , Javier Matulich , Stefan Prohazka

We compute the late-time correlation functions on three-dimensional de Sitter spacetime for a higher-spin gravity theory. For this, we elaborate on the formulation to obtain the wave functional of universe from a dual conformal field…

High Energy Physics - Theory · Physics 2023-02-22 Heng-Yu Chen , Shi Chen , Yasuaki Hikida

We give an explicit expression for the M-point correlator of the superconformal current in two dimensional N=1 superconformal field theories.

High Energy Physics - Theory · Physics 2009-03-11 Steven H. Simon
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