4,310 research outputs found
Free Field Dynamics in the Generalized AdS (Super)Space
Pure gauge representation for general vacuum background fields (Cartan forms)
in the generalized superspace identified with is found. This
allows us to formulate dynamics of free massless fields in the generalized
space-time and to find their (generalized) conformal and higher spin
field transformation laws. Generic solution of the field equations is also
constructed explicitly. The results are obtained with the aid of the star
product realization of ortosymplectic superalgebras.Comment: Some notes added, corrected typo
Test of the local form of higher-spin equations via AdS/CFT
The local form of higher-spin equations found recently to the second order
[1] is shown to properly reproduce the anticipated correlators for
appropriate boundary conditions. It is argued that consistent
holography for the parity-broken boundary models needs a nontrivial
modification of the bosonic truncation of the original higher-spin theory with
the doubled number of fields, as well as a nonlinear deformation of the
boundary conditions in the higher orders.Comment: 18 pages, Typos and acknowledgement corrected. Misleading notation in
Section 4.2 changed. References correcte
Primordial star formation triggered by UV photons from UHECR
The presence of ultra-high energy cosmic rays in the universe in the
pre-ionization epoch enhances significantly H kinetics in virialized halos.
It results in more efficient radiative cooling and decreases the lower mass
limit of the first star-forming systems. Consequently, the fraction of baryons
contained in the first luminous objects and their contribution to the
reionization of the universe can significantly increase in comparison with the
standard scenario.Comment: 5 pages, 3 figures, accepted in A&
Supertraces on the Algebras of Observables of the Rational Calogero Model with Harmonic Potential
We define a complete set of supertraces on the algebra , the
algebra of observables of the -body rational Calogero model with harmonic
interaction. This result extends the previously known results for the simplest
cases of and to arbitrary . It is shown that admits
independent supertraces where is a number of partitions of
into a sum of odd positive integers, so that for . Some
consequences of the existence of several independent supertraces of are discussed such as the existence of ideals in associated -
type Lie superalgebras.Comment: 22 pages, LATE
Higher Spin Conformal Currents in Minkowski Space
Using unfolded formulation of free equations for massless fields of all spins
we obtain explicit form of higher-spin conformal conserved charges bilinear in
4d massless fields of arbitrary spins.Comment: LaTeX, 10 pages. Corrected typo
Multi-field approach in mechanics of structural solids
We overview the basic concepts, models, and methods related to the
multi-field continuum theory of solids with complex structures. The multi-field
theory is formulated for structural solids by introducing a macrocell
consisting of several primitive cells and, accordingly, by increasing the
number of vector fields describing the response of the body to external
factors. Using this approach, we obtain several continuum models and explore
their essential properties by comparison with the original structural models.
Static and dynamical problems as well as the stability problems for structural
solids are considered. We demonstrate that the multi-field approach gives a way
to obtain families of models that generalize classical ones and are valid not
only for long-, but also for short-wavelength deformations of the structural
solid. Some examples of application of the multi-field theory and directions
for its further development are also discussed.Comment: 25 pages, 18 figure
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