39,238 research outputs found
On the extended T-system of type
We continue the study of extended T-systems of quantum affine algebras. We
find a sub-system of the extended T-system of the quantum affine algebra of type . The sub-system consisting of four systems
which are denoted by I, II, III, and IV. Each of the systems I, II, III, IV is
closed. The systems I-IV can be used to compute minimal affinizations with
weights of the form , where at least one of , , are
zero. Using the systems I-IV, we compute the characters of the restrictions of
the minimal affinizations in the systems to and obtain
some conjectural decomposition formulas for the restrictions of some minimal
affinizations.Comment: arXiv admin note: substantial text overlap with arXiv:1208.482
A Holographic P-wave Superconductor Model
We study a holographic p-wave superconductor model in a four dimensional
Einstein-Maxwell-complex vector field theory with a negative cosmological
constant. The complex vector field is charged under the Maxwell field. We solve
the full coupled equations of motion of the system and find black hole
solutions with the vector hair. The vector hairy black hole solutions are dual
to a thermal state with the U(1) symmetry as well as the spatial rotational
symmetry breaking spontaneously. Depending on two parameters, the mass and
charge of the vector field, we find a rich phase structure: zeroth order, first
order and second order phase transitions can happen in this model. We also find
"retrograde condensation" in which the hairy black hole solution exists only
for the temperatures above a critical value with the free energy much larger
than the black hole without hair. We construct the phase diagram for this
system in terms of the temperature and charge of the vector field.Comment: v3: 26 pages, 15 figures, references added, extra arguments added, to
appear in JHE
New Perturbed Proximal Point Algorithms for Set-valued Quasi Variational Inclusions
In this paper, by using some new and innovative techniques, some perturbed iterative
algorithms for solving generalized set-valued variational inclusions are suggested and
analyzed. Since the generalized set-valued variational inclusions include many variational
inclusions , variational inequalities and set-valued operator equation studied by others in
recent years, the results obtained in this paper continue to hold for them and represent a
significant refinement and improvement of the previously known results in this area
A Selectivity Model of Household Pork Consumption Behavior in Taipei, Taiwan
Food Consumption/Nutrition/Food Safety,
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