6,318 research outputs found
Non Abelian Sugawara Construction and the q-deformed N=2 Superconformal Algebra
The construction of a q-deformed N=2 superconformal algebra is proposed in
terms of level 1 currents of quantum affine
Lie algebra and a single real Fermi field. In particular, it suggests the
expression for the q-deformed Energy-Momentum tensor in the Sugawara form. Its
constituents generate two isomorphic quadratic algebraic structures. The
generalization to is also proposed.Comment: AMSLATEX, 21page
Charges, Monopoles and Duality Relations
A charge-monopole theory is derived from simple and self-evident postulates.
Charges and monopoles take an analogous theoretical structure. It is proved
that charges interact with free waves emitted from monopoles but not with the
corresponding velocity fields. Analogous relations hold for monopole equations
of motion. The system's equations of motion can be derived from a regular
Lagrangian function.Comment: 17 pages + 3 figures
Strongly correlated wave functions for artificial atoms and molecules
A method for constructing semianalytical strongly correlated wave functions
for single and molecular quantum dots is presented. It employs a two-step
approach of symmetry breaking at the Hartree-Fock level and of subsequent
restoration of total spin and angular momentum symmetries via Projection
Techniques. Illustrative applications are presented for the case of a
two-electron helium-like single quantum dot and a hydrogen-like quantum dot
molecule.Comment: 9 pages. Revtex with 2 GIF and 1 EPS figures. Published version with
extensive clarifications. A version of the manuscript with high quality
figures incorporated in the text is available at
http://calcite.physics.gatech.edu/~costas/qdhelproj.html For related papers,
see http://www.prism.gatech.edu/~ph274c
Spacelike surfaces with free boundary in the Lorentz-Minkowski space
We investigate a variational problem in the Lorentz-Minkowski space \l^3
whose critical points are spacelike surfaces with constant mean curvature and
making constant contact angle with a given support surface along its common
boundary. We show that if the support surface is a pseudosphere, then the
surface is a planar disc or a hyperbolic cap. We also study the problem of
spacelike hypersurfaces with free boundary in the higher dimensional
Lorentz-Minkowski space \l^{n+1}.Comment: 16 pages. Accepted in Classical and Quantum Gravit
A practical approach for minimising inbreeding and maximising genetic gain in dairy cattle
A method that predicts the genetic composition and
inbreeding (F) of the future dairy cow population using information on the
current cow population, semen use and progeny test bulls is described. This
is combined with information on genetic merit of bulls to compare bull
selection methods that minimise F and maximise breeding value for profit
(called APR in Australia).
The genetic composition of the future cow population of Australian
Holstein-Friesian (HF) and Jersey up to 6 years into the future was
predicted. F in Australian HF and Jersey breeds is likely to increase by
about 0.002 and 0.003 per year between 2002 and 2008, respectively.
A comparison of bull selection methods showed that a method that selects the
best bull from all available bulls for each current or future cow, based on
its calf's APR minus F depression, is better than bull selection methods
based on APR alone, APR adjusted for mean F of prospective progeny after
random mating and mean APR adjusted for the relationship between the
selected bulls. This method reduced F of prospective progeny by about a
third to a half compared to the other methods when bulls are mated to
current and future cows that will be available 5 to 6 years from now. The
method also reduced the relationship between the bulls selected to nearly
the same extent as the method that is aimed at maximising genetic gain
adjusted for the relationship between bulls. The method achieves this
because cows with different pedigree exist in the population and the method
selects relatively unrelated bulls to mate to these different cows.
Selecting the best bull for each current or future cow so that the calf's
genetic merit minus F depression is maximised can slow the rate of increase
in F in the population
Reducing - duality to - duality
The infrared limit of Yang-Mills theory with compact gauge group
compactified on a two-torus is governed by an effective superconformal
field theory. We conjecture that this is a certain orbifold involving the
maximal torus of . Yang-Mills -duality makes predictions for all
correlators of this effective conformal field theory. These predictions are
shown to be implied by the standard -duality of the conformal field theory.
Consequently, Montonen-Olive duality between electric and magnetic states
reduces to the standard two-dimensional duality between momentum and winding
states.Comment: 13 pages, harvmac, no figures. (Some Comments added. Some references
added.
On the fundamental representation of Borcherds algebras with one imaginary simple root
Borcherds algebras represent a new class of Lie algebras which have almost
all the properties that ordinary Kac-Moody algebras have, and the only major
difference is that these generalized Kac-Moody algebras are allowed to have
imaginary simple roots. The simplest nontrivial examples one can think of are
those where one adds ``by hand'' one imaginary simple root to an ordinary
Kac-Moody algebra. We study the fundamental representation of this class of
examples and prove that an irreducible module is given by the full tensor
algebra over some integrable highest weight module of the underlying Kac-Moody
algebra. We also comment on possible realizations of these Lie algebras in
physics as symmetry algebras in quantum field theory.Comment: 8 page
Polarization Correlations in Pair Production from Charged and Neutral Strings
Polarization correlations of pair productions from charged and
neutral Nambu strings are investigated, via photon and graviton emissions,
respectively and explicit expressions for their corresponding probabilities are
derived and found to be \textit{speed} dependent. The strings are taken to be
circularly oscillating closed strings, as perhaps the simplest solution of the
Nambu action. In the extreme relativistic case, these probabilities coincide,
but, in general, are different, and such inquiries, in principle, indicate
whether the string is charged or uncharged. It is remarkable that these
dynamical relativistic quantum field theory calculations lead to a clear
violation of Local Hidden Variables theories.Comment: 6 pages, no figure, LaTeX with ws-mpla.cl
Sensitivity of genomic selection to using different prior distributions
Genomic selection describes a selection strategy based on genomic estimated breeding values (GEBV) predicted from dense genetic markers such as single nucleotide polymorphism (SNP) data. Different Bayesian models have been suggested to derive the prediction equation, with the main difference centred around the specification of the prior distributions
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