2,706 research outputs found
Matrix factorizations for nonaffine LG-models
We propose a natural definition of a category of matrix factorizations for
nonaffine Landau-Ginzburg models. For any LG-model we construct a fully
faithful functor from the category of matrix factorizations defined in this way
to the triangulated category of singularities of the corresponding fiber. We
also show that this functor is an equivalence if the total space of the
LG-model is smooth.Comment: 12 pages, minor corrections of TEX fil
algebra of KP, free fermions and 2-cocycle in the Lie algebra of pseudodifferential operators
The symmetry algebra of
integrable systems is defined. As an example the classical Sophus Lie point
symmetries of all higher KP equations are obtained. It is shown that one
(``positive'') half of the point symmetries belongs to the
symmetries while the other (``negative'') part belongs to the ones.
The corresponing action on the tau-function is obtained for the positive part
of the symmetries. The negative part can not be obtained from the free fermion
algebra. A new embedding of the Virasoro algebra into n describes
conformal transformations of the KP time variables. A free fermion algebra
cocycle is described as a PDO Lie algebra cocycle.Comment: 21 pages, Latex, no figures (some references added and misprints are
corrected
Effect of 6-day hypokinesia on oxygen metabolism indices in elderly and senile subjects
After a strict 6 day confinement to bed of elderly and senile subjects the oxygen supply of the subcutaneous cellular tissue was impaired, and the intensity of its tissue respiration was somewhat reduced. The vacat-oxygen of the blood and urine, the coefficient of incomplete oxidation, and the oxygen deficiency in the organism were increased
Toward equilibrium ground state of charge density waves in rare-earth tritellurides
We show that the charge density wave (CDW) ground state below the Peierls
transition temperature, , of rare-earth tritellurides is not at its
equilibrium value, but depends on the time where the system was kept at a fixed
temperature below . This ergodicity breaking is revealed by the
increase of the threshold electric field for CDW sliding which depends
exponentially on time. We tentatively explain this behavior by the
reorganization of the oligomeric (Te) sequence forming the CDW
modulation.Comment: 10 pages, 5 figures, accepted in PR
Derived categories of Burniat surfaces and exceptional collections
We construct an exceptional collection of maximal possible length
6 on any of the Burniat surfaces with , a 4-dimensional family of
surfaces of general type with . We also calculate the DG algebra of
endomorphisms of this collection and show that the subcategory generated by
this collection is the same for all Burniat surfaces.
The semiorthogonal complement of is an "almost
phantom" category: it has trivial Hochschild homology, and K_0(\mathcal
A)=\bZ_2^6.Comment: 15 pages, 1 figure; further remarks expande
Critical thermodynamics of two-dimensional N-vector cubic model in the five-loop approximation
The critical behavior of the two-dimensional N-vector cubic model is studied
within the field-theoretical renormalization-group (RG) approach. The
beta-functions and critical exponents are calculated in the five-loop
approximation, RG series obtained are resummed using Pade-Borel-Leroy and
conformal mapping techniques. It is found that for N = 2 the continuous line of
fixed points is well reproduced by the resummed RG series and an account for
the five-loop terms makes the lines of zeros of both beta-functions closer to
each another. For N > 2 the five-loop contributions are shown to shift the
cubic fixed point, given by the four-loop approximation, towards the Ising
fixed point. This confirms the idea that the existence of the cubic fixed point
in two dimensions under N > 2 is an artifact of the perturbative analysis. In
the case N = 0 the results obtained are compatible with the conclusion that the
impure critical behavior is controlled by the Ising fixed point.Comment: 18 pages, 4 figure
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