46 research outputs found
Gauge invariant Lagrangian formulation of massive higher spin fields in (A)dS_3 space
We develop the frame-like formulation of massive bosonic higher spins fields
in the case of 3-dimensional space with the arbitrary cosmological
constant. The formulation is based on gauge-invariant description by involving
the Stueckelberg auxiliary fields. The explicit form of the Lagrangians and the
gauge transformation laws are found. The theory can be written in terms of
gauge-invariant objects similar to the massless theories, thus allowing us to
hope to use the same methods for investigation of interactions. In the massive
spin 3 field example we are able to rewrite the Lagrangian using the new the
so-called separated variables, so that the study of Lagrangian formulation
reduces to finding the Lagrangian containing only half of the fields. The same
construction takes places for arbitrary integer spin field as well. Further
working in terms of separated variables, we build Lagrangian for arbitrary
integer spin and write it in terms of gauge-invariant objects. Also, we
demonstrate how to restore the full set of variables, thus receiving Lagrangian
for the massive fields of arbitrary spin in the terms of initial fields.Comment: 12 page
Lagrangian Formulation for Free Mixed-Symmetry Bosonic Gauge Fields in (A)dS(d)
Covariant Lagrangian formulation for free bosonic massless fields of
arbitrary mixed-symmetry type in (A)dS(d) space-time is presented. The analysis
is based on the frame-like formulation of higher-spin field dynamics [1] with
higher-spin fields described as p-forms taking values in appropriate modules of
the (A)dS(d). The problem of finding free field action is reduced to the
analysis of an appropriate differential complex, with the derivation Q
associated with the variation of the action. The constructed action exhibits
additional gauge symmetries in the flat limit in agreement with the general
structure of gauge symmetries for mixed-symmetry fields in Minkowski and
(A)dS(d) spaces.Comment: 17 pages, v2: clarifications added, misprints corrected; v3: minor
changes, typos correcte
Bosonic Massless Higher Spin Fields from Matrix Model
We study matrix models as a new approach to formulate massless higher spin
gauge field theory. As a first step in this direction, we show that the free
equation of motion of bosonic massless higher spin gauge fields can be derived
from that of a matrix model.Comment: 19pages, no figures, one reference adde
Higher Spins from Tensorial Charges and OSp(N|2n) Symmetry
It is shown that the quantization of a superparticle propagating in an N=1,
D=4 superspace extended with tensorial coordinates results in an infinite tower
of massless spin states satisfying the Vasiliev unfolded equations for free
higher spin fields in flat and AdS_4 N=1 superspace. The tensorial extension of
the AdS_4 superspace is proved to be a supergroup manifold OSp(1|4). The model
is manifestly invariant under an OSp(N|8) (N=1,2) superconformal symmetry. As a
byproduct, we find that the Cartan forms of arbitrary Sp(2n) and OSp(1|2n)
groups are GL(2n) flat, i.e. they are equivalent to flat Cartan forms up to a
GL(2n) rotation. This property is crucial for carrying out the quantization of
the particle model on OSp(1|4) and getting the higher spin field dynamics in
super AdS_4, which can be performed in a way analogous to the flat case.Comment: LaTeX, 21 page (JHEP style), misprints corrected, added comments on
the relation of results of hep-th/0106149 with hep-th/9904109 and
hep-th/9907113, references adde
Geometric Second Order Field Equations for General Tensor Gauge Fields
Higher spin tensor gauge fields have natural gauge-invariant field equations
written in terms of generalised curvatures, but these are typically of higher
than second order in derivatives. We construct geometric second order field
equations and actions for general higher spin boson fields, and first order
ones for fermions, which are non-local but which become local on gauge-fixing,
or on introducing auxiliary fields. This generalises the results of Francia and
Sagnotti to all representations of the Lorentz group.Comment: 34 pages, LaTeX. Reference adde
Dynamics of Higher Spin Fields and Tensorial Space
The structure and the dynamics of massless higher spin fields in various
dimensions are reviewed with an emphasis on conformally invariant higher spin
fields. We show that in D=3,4,6 and 10 dimensional space-time the conformal
higher spin fields constitute the quantum spectrum of a twistor-like particle
propagating in tensorial spaces of corresponding dimensions. We give a detailed
analysis of the field equations of the model and establish their relation with
known formulations of free higher spin field theory.Comment: JHEP3 style, 40 pages; v2 typos corrected, comments and references
added; v3 published versio
On the covariant quantization of tensionless bosonic strings in AdS spacetime
The covariant quantization of the tensionless free bosonic (open and closed)
strings in AdS spaces is obtained. This is done by representing the AdS space
as an hyperboloid in a flat auxiliary space and by studying the resulting
string constrained hamiltonian system in the tensionless limit. It turns out
that the constraint algebra simplifies in the tensionless case in such a way
that the closed BRST quantization can be formulated and the theory admits then
an explicit covariant quantization scheme. This holds for any value of the
dimension of the AdS space.Comment: 1+16 pages; v4 two clarifications adde