19 research outputs found
Sigma-model for Generalized Composite p-branes
A multidimensional gravitational model containing several dilatonic scalar
fields and antisymmetric forms is considered. The manifold is chosen in the
form M = M_0 x M_1 x ... x M_n, where M_i are Einstein spaces (i > 0). The
block-diagonal metric is chosen and all fields and scale factors of the metric
are functions on M_0. For the forms composite (electro-magnetic) p-brane ansatz
is adopted. The model is reduced to gravitating self-interacting sigma-model
with certain constraints. In pure electric and magnetic cases the number of
these constraints is m(m - 1)/2 where m is number of 1-dimensional manifolds
among M_i. In the "electro-magnetic" case for dim M_0 = 1, 3 additional m
constraints appear. A family of "Majumdar-Papapetrou type" solutions governed
by a set of harmonic functions is obtained, when all factor-spaces M_k are
Ricci-flat. These solutions are generalized to the case of non-Ricci-flat M_0
when also some additional "internal" Einstein spaces of non-zero curvature are
added to M. As an example exact solutions for D = 11 supergravity and related
12-dimensional theory are presented.Comment: 33 pages, Latex. Some corrections and rearrangements are mad
The Beurling--Malliavin Multiplier Theorem and its analogs for the de Branges spaces
Let be a non-negative function on . We are looking for a
non-zero from a given space of entire functions satisfying The
classical Beurling--Malliavin Multiplier Theorem corresponds to and the
classical Paley--Wiener space as . We survey recent results for the case
when is a de Branges space \he. Numerous answers mainly depend on the
behaviour of the phase function of the generating function .Comment: Survey, 25 page
Neutron Halo Isomers in Stable Nuclei and their Possible Application for the Production of Low Energy, Pulsed, Polarized Neutron Beams of High Intensity and High Brilliance
We propose to search for neutron halo isomers populated via -capture
in stable nuclei with mass numbers of about A=140-180 or A=40-60, where the
or neutron shell model state reaches zero binding energy.
These halo nuclei can be produced for the first time with new -beams of
high intensity and small band width ( 0.1%) achievable via Compton
back-scattering off brilliant electron beams thus offering a promising
perspective to selectively populate these isomers with small separation
energies of 1 eV to a few keV. Similar to single-neutron halo states for very
light, extremely neutron-rich, radioactive nuclei
\cite{hansen95,tanihata96,aumann00}, the low neutron separation energy and
short-range nuclear force allows the neutron to tunnel far out into free space
much beyond the nuclear core radius. This results in prolonged half lives of
the isomers for the -decay back to the ground state in the 100
ps-s range. Similar to the treatment of photodisintegration of the
deuteron, the neutron release from the neutron halo isomer via a second,
low-energy, intense photon beam has a known much larger cross section with a
typical energy threshold behavior. In the second step, the neutrons can be
released as a low-energy, pulsed, polarized neutron beam of high intensity and
high brilliance, possibly being much superior to presently existing beams from
reactors or spallation neutron sources.Comment: accepted for publication in Applied Physics
Vortices, Instantons and Branes
The purpose of this paper is to describe a relationship between the moduli
space of vortices and the moduli space of instantons. We study charge k
vortices in U(N) Yang-Mills-Higgs theories and show that the moduli space is
isomorphic to a special Lagrangian submanifold of the moduli space of k
instantons in non-commutative U(N) Yang-Mills theories. This submanifold is the
fixed point set of a U(1) action on the instanton moduli space which rotates
the instantons in a plane. To derive this relationship, we present a D-brane
construction in which the dynamics of vortices is described by the Higgs branch
of a U(k) gauge theory with 4 supercharges which is a truncation of the
familiar ADHM gauge theory. We further describe a moduli space construction for
semi-local vortices, lumps in the CP(N) and Grassmannian sigma-models, and
vortices on the non-commutative plane. We argue that this relationship between
vortices and instantons underlies many of the quantitative similarities shared
by quantum field theories in two and four dimensions.Comment: 32 Pages, 4 Figure
SUSY, inflation and the origin of matter in the universe
We consider the standard models of particle physics and hot big bang cosmology, and review the theoretical and experimental motivations for extending these models to include supersymmetry and inflation. An obvious extension would be to unite these two models into a single all-encompassing theory. We identify a list of theoretical challenges that such a theory must address, which we illustrate with a simple modelâa variant of the next-to-minimal supersymmetric standard modelâthat addresses these challenges