80 research outputs found
Duality of Coordinates and Matter Fields in Curved Spacetime
We show that there exists a duality between the local coordinates and the
solutions of the Klein-Gordon equation in curved spacetime in the same sense as
in the Minkowski spacetime. However, the duality in curved spacetime does not
have the same generality as in flat spacetime and it holds only if the system
satisfies certain constraints. We derive these constraints and the basic
equations of duality and discuss the implications in the quantum theory.Comment: 14 pages, ReVTeX file. Comments added, to appear in Phys.Lett.
Superfield Theories in Tensorial Superspaces and the Dynamics of Higher Spin Fields
We present the superfield generalization of free higher spin equations in
tensorial superspaces and analyze tensorial supergravities with GL(n) and SL(n)
holonomy as a possible framework for the construction of a non-linear higher
spin field theory. Surprisingly enough, we find that the most general solution
of the supergravity constraints is given by a class of superconformally flat
and OSp(1|n)-related geometries. Because of the conformal symmetry of the
supergravity constraints and of the higher spin field equations such geometries
turn out to be trivial in the sense that they cannot generate a `minimal'
coupling of higher spin fields to their potentials even in curved backgrounds
with a non-zero cosmological constant. This suggests that the construction of
interacting higher spin theories in this framework might require an extension
of the tensorial superspace with additional coordinates such as twistor-like
spinor variables which are used to construct the OSp(1|2n) invariant
(`preonic') superparticle action in tensorial superspace.Comment: LaTeX, 30 pages, no figures. V2. Discussion on conventional
constraints extended, typos corrected, JHEP style, to appear in JHE
Parent form for higher spin fields on anti-de Sitter space
We construct a first order parent field theory for free higher spin gauge
fields on constant curvature spaces. As in the previously considered flat case,
both Fronsdal's and Vasiliev's unfolded formulations can be reached by two
different straightforward reductions. The parent theory itself is formulated
using a higher dimensional embedding space and turns out to be geometrically
extremely transparent and free of the intricacies of both of its reductions.Comment: 39 pages, LaTeX; misprints corrected, references adde
Surface charges and dynamical Killing tensors for higher spin gauge fields in constant curvature spaces
In the context of massless higher spin gauge fields in constant curvature
spaces, we compute the surface charges which generalize the electric charge for
spin one, the color charges in Yang-Mills theories and the energy-momentum and
angular momentum for asymptotically flat gravitational fields. We show that
there is a one-to-one map from surface charges onto divergence free Killing
tensors. These Killing tensors are computed by relating them to a cohomology
group of the first quantized BRST model underlying the Fronsdal action.Comment: 21 pages Latex file, references and comment adde
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
Consistent deformations of [p,p]-type gauge field theories
Using BRST-cohomological techniques, we analyze the consistent deformations
of theories describing free tensor gauge fields whose symmetries are
represented by Young tableaux made of two columns of equal length p, p>1. Under
the assumptions of locality and Poincare invariance, we find that there is no
consistent deformation of these theories that non-trivially modifies the gauge
algebra and/or the gauge transformations. Adding the requirement that the
deformation contains no more than two derivatives, the only possible
deformation is a cosmological-constant-like term.Comment: 17 pages, details of a proof added, accepted for publication in JHE
Reducible higher-spin multiplets in flat and AdS spaces and their geometric frame-like formulation
We consider the frame-like formulation of reducible sets of totally symmetric
bosonic and fermionic higher-spin fields in flat and AdS backgrounds of any
dimension, that correspond to so-called higher-spin triplets resulting from the
string-inspired BRST approach. The explicit relationship of the fields of
higher-spin triplets to the higher-spin vielbeins and connections is found. The
gauge invariant actions are constructed including, in particular, the reducible
(i.e. triplet) higher-spin fermion case in AdS_D space.Comment: 1+49 pages, This is an essentially extended version of the
contribution to the volume dedicated to the 60th birthday anniversary of
Joseph Buchbinder; v2 FIAN Preprint No and references adde
Nambu-Poisson Bracket and M-Theory Branes Coupled to Antisymmetric Fluxes
By using the recently proposed prescription arXiv:0804.3629 for obtaining the
brane action from multiple branes action in BLG theory, we examine
such transition when 11 Dimensional background antisymmetric fluxes couple to
the brane world volume. Such couplings was suggested in arXiv:0805.3427
where it was used the fact that various fields in BLG theory are valued in a
Lie 3-algebra. We argue that this action and promoting it by Nambu-Poisson
bracket gives the expected coupling of fluxes with brane at least at weak
coupling limit. We also study some other aspects of the action for example, the
gauge invariance of the theory.Comment: 14 page
Topological A-Type Models with Flux
We study deformations of the A-model in the presence of fluxes, by which we
mean rank-three tensors with antisymmetrized upper/lower indices, using the
AKSZ construction. Generically these are topological membrane models, and we
show that the fluxes are related to deformations of the Courant bracket which
generalize the twist by a closed 3-from , in the sense that satisfying the
AKSZ master equation implies the integrability conditions for an almost
generalized complex structure with respect to the deformed Courant bracket. In
addition, the master equation imposes conditions on the fluxes that generalize
. The membrane model can be defined on a large class of - and -structure manifolds, including geometries inspired by
supersymmetric -models with additional supersymmetries due to almost
complex (but not necessarily complex) structures in the target space.
Furthermore, we show that the model can be defined on three particular
half-flat manifolds related to the Iwasawa manifold.
When only -flux is turned on it is possible to obtain a topological string
model, which we do for the case of a Calabi-Yau with a closed 3-form turned on.
The simplest deformation from the A-model is due to the
component of a non-trivial -field. The model is generically no longer
evaluated on holomorphic maps and defines new topological invariants.
Deformations due to -flux can be more radical, completely preventing
auxiliary fields from being integrated out.Comment: 30 pages. v2: Improved Version. References added. v3: Minor changes,
published in JHE
Higher Spin Symmetry and N=4 SYM
We assemble the spectrum of single-trace operators in free N=4 SU(N) SYM
theory into irreducible representations of the Higher Spin symmetry algebra
hs(2,2|4). Higher Spin representations or YT-pletons are associated to Young
tableaux (YT) corresponding to representations of the symmetric group
compatible with the cyclicity of color traces. After turning on interactions,
YT-pletons decompose into infinite towers of representations of the
superconformal algebra PSU(2,2|4) and anomalous dimensions are generated. We
work out the decompositions of tripletons with respect to the N=4
superconformal algebra PSU(2,2|4) and compute their one anomalous dimensions at
large N. We then focus on operators/states sitting in semishort superconformal
multiplets. By passing them through a semishort-sieve that removes
superdescendants, we derive compact expressions for the partition function of
semishort primaries.Comment: 38 pages, no figures. v2: references adde
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