6,150 research outputs found
On Killing tensors and cubic vertices in higher-spin gauge theories
The problem of determining all consistent non-Abelian local interactions is
reviewed in flat space-time. The antifield-BRST formulation of the free theory
is an efficient tool to address this problem. Firstly, it allows to compute all
on-shell local Killing tensor fields, which are important because of their deep
relationship with higher-spin algebras. Secondly, under the sole assumptions of
locality and Poincare invariance, all non-trivial consistent deformations of a
sum of spin-three quadratic actions deforming the Abelian gauge algebra were
determined. They are compared with lower-spin cases.Comment: 10 pages. Based on a talk given by X.B. at the RTN Workshop
``Constituents, Fundamental Forces and Symmetries of the Universe'' (Corfu,
20-26th September 2005). Contribution to the Proceeding
Interactions of chiral two-forms
Two issues regarding the interactions of the chiral two-forms are reviewed.
First, the problem of constructing Lorentz-invariant self-couplings of a single
chiral two-form is investigated in the light of the Dirac-Schwinger condition
on the energy-momentum tensor commutation relations. We show how the
Perry-Schwarz condition follows from the Dirac-Schwinger criterion and point
out that consistency of the gravitational coupling is automatic. Secondly, we
study the possible local deformations of chiral two-forms. This problem reduces
to the study of the local BRST cohomological group at ghost number zero. We
proof that the only consistent deformations of a system of free chiral
two-forms are (up to redefinitions) deformations that do not modify the abelian
gauge symmetries of the free theory. The consequence of this result for a
system consisting of a number of parallel M5-branes is explained.Comment: 6 pages. References added. Modified presentation. Talk given at the
TMR-meeting `Quantum aspects of gauge theories, supersymmetry and
unification', ENS (Paris), September 1-7, 1999 and at the `9th Midwest
Geometry Conference', Univ. of Missouri (Columbia), November 5-7, 1999. From
joint work with M. Henneaux and A. Sevri
Singletons and their maximal symmetry algebras
Singletons are those unitary irreducible modules of the Poincare or (anti) de
Sitter group that can be lifted to unitary modules of the conformal group.
Higher-spin algebras are the corresponding realizations of the universal
enveloping algebra of the conformal algebra on these modules. These objects
appear in a wide variety of areas of theoretical physics: AdS/CFT
correspondence, electric-magnetic duality, higher-spin multiplets,
infinite-component Majorana equations, higher-derivative symmetries, etc.
Singletons and higher-spin algebras are reviewed through a list of their many
equivalent definitions in order to approach them from various perspectives. The
focus of this introduction is on the symmetries of a singleton: its maximal
algebra and the manifest realization thereof.Comment: 34 pages, published (splitted into two distinct pieces) in the
proceedings of the "7th spring school and workshop on quantum field theory &
Hamiltonian systems" and of the "6th mathematical physics meeting: summer
school and conference on modern mathematical physics", v2: references (and
related comments) adde
Gauge invariants and Killing tensors in higher-spin gauge theories
In free completely symmetric tensor gauge field theories on Minkowski
space-time, all gauge invariant functions and Killing tensor fields are
computed, both on-shell and off-shell. These problems are addressed in the
metric-like formalisms.Comment: LaTeX, 24 pages, no figure. One reference added and one definition
corrected. Accepted for publication in NP
Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons
The usual ambient space approach to conformal fields is based on identifying
the d-dimensional conformal space as the Dirac projective hypercone in a flat
d+2-dimensional ambient space. In this work, we explicitly concentrate on
singletons of any integer spin and propose an approach that allows one to have
both locality and conformal symmetry manifest. This is achieved by using the
ambient space representation in the fiber rather than in spacetime. This
approach allows us to characterize a subalgebra of higher symmetries for any
bosonic singleton, which is a candidate higher-spin algebra for mixed symmetry
gauge fields on anti de Sitter spacetime. Furthermore, we argue that this
algebra actually exhausts all higher symmetries.Comment: the bug with symbol is fixe
On Nonlinear Higher Spin Curvature
We present the first nonlinear term of the higher spin curvature which is
covariant with respect to deformed gauge transformations that are linear in the
field. We consider in detail the case of spin 3 after presenting spin 2 as an
example, and then construct the general spin s quadratic term of the
deWit-Freedman curvature.Comment: 12 page
The continuous spin limit of higher spin field equations
We show that the Wigner equations describing the continuous spin
representations can be obtained as a limit of massive higher-spin field
equations. The limit involves a suitable scaling of the wave function, the mass
going to zero and the spin to infinity with their product being fixed. The
result allows to transform the Wigner equations to a gauge invariant
Fronsdal-like form. We also give the generalisation of the Wigner equations to
higher dimensions with fields belonging to arbitrary representations of the
massless little group.Comment: 18 pages, JHEP style. Typos corrected, references adde
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