22,949 research outputs found
Precision Spectroscopy and Higher Spin symmetry in the ABJM model
We revisit Kaluza-Klein compactification of 11-d supergravity on S^7/Z_k
using group theory techniques that may find application in other flux vacua
with internal coset spaces. Among the SO(2) neutral states, we identify
marginal deformations and fields that couple to the recently discussed
world-sheet instanton of Type IIA on CP^3. We also discuss charged states, dual
to monopole operators, and the Z_k projection of the Osp(4|8) singleton and its
tensor products. In particular, we show that the doubleton spectrum may account
for N=6 higher spin symmetry enhancement in the limit of vanishing 't Hooft
coupling in the boundary Chern-Simons theory.Comment: 44 page
Massive higher spins and holography
We review recent progress towards the understanding of higher spin gauge
symmetry breaking in AdS space from a holographic vantage point. According to
the AdS/CFT correspondence, N=4 SYM theory at vanishing coupling constant
should be dual to a theory in AdS which exhibits higher spin gauge symmetry
enhancement. When the SYM coupling is non-zero, all but a handful of HS
currents are violated by anomalies, and correspondingly local higher spin
symmetry in the bulk gets spontaneously broken. In agreement with previous
results and holographic expectations, we find that, barring one notable
exception (spin 1 eating spin 0), the Goldstone modes responsible for HS
symmetry breaking in AdS have non-vanishing mass even in the limit in which the
gauge symmetry is restored. We show that spontaneous breaking a' la
Stueckelberg implies that the mass of the relevant spin s'=s-1 Goldstone field
is exactly the one predicted by the correspondence.Comment: 8 pages, talk presented by M.B. at the "Fourth Meeting on Constrained
Dynamics and Quantum gravity" held in Cala Gonone (Sardinia, Italy),
September 12-16, 200
A perturbative re-analysis of N=4 supersymmetric Yang--Mills theory
The finiteness properties of the N=4 supersymmetric Yang-Mills theory are
reanalyzed both in the component formulation and using N=1 superfields, in
order to discuss some subtleties that emerge in the computation of gauge
dependent quantities. The one-loop corrections to various Green functions of
elementary fields are calculated. In the component formulation it is shown that
the choice of the Wess-Zumino gauge, that is standard in supersymmetric gauge
theories, introduces ultraviolet divergences in the propagators at the one-loop
level. Such divergences are exactly cancelled when the contributions of the
fields that are put to zero in the Wess-Zumino gauge are taken into account. In
the description in terms of N=1 superfields infrared divergences are found for
every choice of gauge different from the supersymmetric generalization of the
Fermi-Feynman gauge. Two-, three- and four-point functions of N=1 superfields
are computed and some general features of the infrared problem are discussed.
We also examine the effect of the introduction of mass terms for the (anti)
chiral superfields in the theory, which break supersymmetry from N=4 to N=1. It
is shown that in the mass deformed model no ultraviolet divergences appear in
two-point functions. It argued that this result can be generalized to n-point
functions, supporting the proposal of a possible of use of this modified model
as a supersymmetry-preserving regularization scheme for N=1 theories.Comment: 41 pages, LaTeX2e, uses feynMP package to draw Feynman diagram
A Curious Truncation of N=4 Yang-Mills
The coupling constant dependence of correlation functions of BPS operators in
N=4 Yang-Mills can be expressed in terms of integrated correlation functions.
We approximate these integrated correlators by using a truncated OPE expansion.
This leads to differential equations for the coupling dependence. When applied
to a particular sixteen point correlator, the coupling dependence we find
agrees with the corresponding amplitude computed via the AdS/CFT
correspondence. We conjecture that this truncation becomes exact in the large N
and large 't Hooft coupling limit.Comment: 10 pages, LaTeX; additional comments, added reference
Cooperative damping mechanism of the resonance in the nuclear photoabsorption
We propose a resonance damping mechanism to explain the disappearance of the
peaks around the position of the resonances higher than the resonance
in the nuclear photoabsorption. This phenomenon is understood by taking into
account the cooperative effect of the collision broadening of and
, the pion distortion and the interference in the two-pion
photoproduction processes in the nuclear medium.Comment: 11 pages, uses revtex.sty. To appear in Phys. Rev. Let
Black Holes in the Presence of Cosmological Constant and Large N Brane World
Analytic form has been obtained for four-dimensional black holes with a
minimal Hawking temperature in a theory with cosmological constant, dilaton and
gauge fields. In general dimensions, black hole solutions are shown to exist
and their asymptotic behaviors are obtained. In theories of ten dimension, N
coincident D3-branes as the boundary of an space are constructed by
embedding black D3-branes, with a five-dimensional compactified space of
negligible size if N is large, which provide natural realizations of the
Randall-Sundrum scenario. For this background, the cosmological
constant is a higher order perturbation and its effect on the spectra of
standard model fields on the branes can be calculated.Comment: 12 pages, no figure
On the reconstruction of planar lattice-convex sets from the covariogram
A finite subset of is said to be lattice-convex if is
the intersection of with a convex set. The covariogram of
is the function associating to each u \in
\integer^d the cardinality of . Daurat, G\'erard, and Nivat and
independently Gardner, Gronchi, and Zong raised the problem on the
reconstruction of lattice-convex sets from . We provide a partial
positive answer to this problem by showing that for and under mild extra
assumptions, determines up to translations and reflections. As a
complement to the theorem on reconstruction we also extend the known
counterexamples (i.e., planar lattice-convex sets which are not
reconstructible, up to translations and reflections) to an infinite family of
counterexamples.Comment: accepted in Discrete and Computational Geometr
Kinetic approach to transport properties of a reacting gas
A multicomponent reacting gas with reversible reactions is studied
at a kinetic level with the main objective of deriving the
reactive Navier-Stokes equations
in dependence on the macroscopic variables,
and characterizing the dissipative terms related to
shear viscosity, heat conduction and thermal diffusion.
A step-by-step procedure, which can be applied to a quite large variety of
reactive flows, is proposed in order to identify the transport coefficients,
basically resorting to a first-order density approximation of Chapman-Enskog type.Fundação para a Ciência e Tecnologia (FCT) - Programa Operacional "Ciência, Tecnologia, Inovação" (POCTI).National Research Project PRIN 2003
Modelling and solutions to the linear stability of a detonation wave in the kinetic frame
Artigo publicado num número especial da revista.The analysis of linear stability of a steady detonation wave
is formulated for the first time at the kinetic level in the frame
of the Boltzmann equation extended to reacting gases. Within
this context and for a reversible reaction, the stability problem is carried out,
in agreement with most classical papers on gas detonation, through a normal mode approach
for the one-dimensional disturbances of the steady wave solution, and an
acoustic radiation condition at the final equilibrium as closure condition.
The proposed modelling leads to an initial value problem,
constituted by the linearized reactive Euler equations in the perturbed shock frame
with related Rankine-Hugoniot conditions, which can be solved by
means of a proper numerical technique.
An application is provided for an elementary bimolecular reaction.Centro de Matemática da Universidade do MinhoFundação para a Ciência e a Tecnologia (FCT)Italian INDAM-GNF
Discreteness of the volume of space from Bohr-Sommerfeld quantization
A major challenge for any theory of quantum gravity is to quantize general
relativity while retaining some part of its geometrical character. We present
new evidence for the idea that this can be achieved by directly quantizing
space itself. We compute the Bohr-Sommerfeld volume spectrum of a tetrahedron
and show that it reproduces the quantization of a grain of space found in loop
gravity.Comment: 4 pages, 4 figures; v2, to appear in PR
- …