1,720,998 research outputs found
A note on field redefinitions and higher-spin equations
No full textIn 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 the Fronsdal equations induced by current interactions quadratic in the higher-spin linearised curvatures.SCOPUS: ar.jinfo:eu-repo/semantics/publishe
Higher-spin interactions: Four-point functions and beyond
Full text linkIn this work we construct an infinite class of four-point functions for massless higher-spin fields in flat space that are consistent with the gauge symmetry. In the Lagrangian picture, these reflect themselves in a peculiar non-local nature of the corresponding non-abelian higher-spin couplings implied by the Noether procedure that starts from the fourth order. We also comment on the nature of the colored spin-2 excitation present both in the open string spectrum and in the Vasiliev system, highlighting how some aspects of String Theory appear to reflect key properties of Field Theory that go beyond its low energy limit. A generalization of these results to n-point functions, fermions and mixed-symmetry fields is also addressed
On the non-local obstruction to interacting higher spins in flat space
Full text linkOwing to a renewed interest in flat space higher spin gauge theories, in this note we provide further details and clarifications on the results presented in arXiv:1107.5843 and arXiv: 1209.5755, which investigated their locality properties. Focusing, for simplicity, on quartic couplings with one of the external legs having non-zero integer spin (which can be considered as a prototype for Weinberg-type arguments), we review the appearance of 1/□ non-localities. In particular, we emphasise that it appears to be not possible to eliminate all of the aforementioned non-localities in the general quartic Noether procedure solution with a judicious choice of coupling constants and spectrum. We also discuss the light-cone gauge fixing in d = 4, and argue that the non-local obstruction discussed in the covariant language cannot be avoided using light-cone gauge formalism.SCOPUS: ar.jinfo:eu-repo/semantics/publishe
Spinning Mellin Bootstrap: Conformal Partial Waves, Crossing Kernels and Applications
Full text linkWe study conformal partial waves (CPWs) in Mellin space with totally symmetric external operators of arbitrary integer spin. The exchanged spin is arbitrary, and includes mixed symmetry and (partially)-conserved representations. In a basis of CPWs recently introduced in arXiv:1702.08619, we find a remarkable factorisation of the external spin dependence in their Mellin representation. This property allows a relatively straightforward study of inversion formulae to extract OPE data from the Mellin representation of spinning 4pt correlators and in particular, to extract closed-form expressions for crossing kernels of spinning CPWs in terms of the hypergeometric function 4F3. We consider numerous examples involving both arbitrary internal and external spins, and for both leading and sub-leading twist operators. As an application, working in general d we extract new results for (Formula presented.) anomalous dimensions of double-trace operators induced by double-trace deformations constructed from single-trace operators of generic twist and integer spin. In particular, we extract the anomalous dimensions of double-trace operators (Formula presented.) with (Formula presented.) a single-trace operator of integer spin J.SCOPUS: ed.jinfo:eu-repo/semantics/publishe
Pseudo-local Theories: A Functional Class Proposal
No full textIn this article, using the language of jet space, we propose a functional
class space for pseudo-local functionals. We test this functional class
proposal in a number of examples ranging from string-field-theory to AdS/CFT
dualities. Implications of the locality proposal at the quartic order are also
discussed
Celestial Holography Revisited
No full textWe revisit the prescription commonly used to define holographic correlators on the celestial sphere of Minkowski space as an integral transform of flat space scattering amplitudes. We propose a new prescription according to which celestial holographic correlators are given by the Mellin transform of bulk time-ordered correlators with respect to the radial direction in the hyperbolic slicing of Minkowski space, which are then extrapolated to the celestial sphere along the hyperbolic directions. This prescription is analogous to the extrapolate definition of holographic correlators in AdS/CFT and, like in AdS, is centered on (off-shell) correlation functions as opposed to (on-shell) S-matrix elements. We show that celestial correlators defined in this new way are manifestly recast in terms of corresponding Witten diagrams in Euclidean anti-de Sitter space in perturbation theory. We also discuss the possibility of using this definition of celestial correlators in terms of bulk correlation functions to explore the nonperturbative properties of celestial correlators dual to conformal field theories in Minkowski space
Higher-Spin Gauge Theories and Bulk Locality
No full textWe present a no-go result on consistent Noether interactions among higher-spin gauge fields on anti-de Sitter space-times. We show that there is a nonlocal obstruction at the classical level to consistent interacting field theory descriptions of massless higher-spin particles that are described in the free limit by the free Fronsdal action, under the assumption that such theories arise from the gauging of a global higher-spin symmetry. Our result suggests that the Fronsdal program for introducing interactions among higher-spin gauge fields cannot be completed without introducing new guiding principles, which could potentially lie beyond the framework of classical field theory.SCOPUS: ar.jDecretOANoAutActifinfo:eu-repo/semantics/publishe
Cubic interactions of massless higher spins in (A)dS: Metric-like approach
No full textCubic interactions of higher-spin gauge fields in (A)dS are studied in the metric-like approach. Making use of the traceless and transverse constraints together with the ambient-space formalism, all consistent parity-invariant cubic vertices are obtained for d>3 in closed form pointing out the key role of their flat-space counterparts
Higher Spin Interactions from Conformal Field Theory: The Complete Cubic Couplings
No full textIn this Letter we provide a complete holographic reconstruction of the cubic couplings in the minimal bosonic higher spin theory in (d+1)-dimensional anti- de Sitter space. For this purpose, we also determine the operator-product expansion coefficients of all single-trace conserved currents in the d-dimensional free scalar O(N) vector model, and we compute the tree-level three-point Witten diagram amplitudes for a generic cubic interaction of higher spin gauge fields in the metriclike formulation. -pSCOPUS: ar.jinfo:eu-repo/semantics/publishe
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