77 research outputs found
Classical elliptic current algebras. I
In this paper we discuss classical elliptic current algebras and show that there are two different choices of commutative test function algebras related to a complex torus leading totwo different elliptic current algebras. Quantization of these classical current algebras gives rise to two classes of quantized dynamical quasi-Hopf current algebras studied by Enriquez, Felder and Rubtsov and by Arnaudon, Buffenoir, Ragoucy, Roche, Jimbo, Konno, Odake and Shiraishi
Transition function for the Toda chain model
The method of Lambda-operators developed by S. Derkachov, G. Korchemsky, A.
Manashov is applied to a derivation of eigenfunctions for the open Toda chain.
The Sklyanin measure is reproduced using diagram technique developed for these
Lambda-operators. The properties of the Lambda-operators are studied. This
approach to the open Toda chain eigenfunctions reproduces Gauss-Givental
representation for these eigenfunctions
SOS model partition function and the elliptic weight functions
We generalize a recent observation [arXiv:math/0610433] that the partition
function of the 6-vertex model with domain-wall boundary conditions can be
obtained by computing the projections of the product of the total currents in
the quantum affine algebra in its current
realization. A generalization is proved for the the elliptic current algebra
[arXiv:q-alg/9703018,arXiv:q-alg/9601022]. The projections of the product of
total currents are calculated explicitly and are represented as integral
transforms of the product of the total currents. We prove that the kernel of
this transform is proportional to the partition function of the SOS model with
domain-wall boundary conditions.Comment: 21 pages, 5 figures, requires iopart packag
Morphofunctional reorganization of plantar aponeurosis in experimental modeling of fasciopathy by synthetic analogue of prostaglandin E1
Foundation. Chronic plantar fasciopathic pain syndrome is a pathology that significantly affects the quality of life of patients of all age categories. Insufficient knowledge of the etiological and pathogenetic factors in the development of fasciopathies explains the multiplicity, and sometimes inconsistency, of conservative and surgical treatment regimens. The choice of the optimal variant of therapeutic or surgical intervention may be associated with experimental modeling of fasciopathies and the study of the dynamics of the pathological process.The aim. To study the morphological changes in structures identical to the human plantar aponeurosis in experimental modeling of fasciopathy in animals.Research methods. The material for the study was fragments of the tendonaponeurotic complex of the foot of laboratory animals (control group: animals with the introduction of physiological sodium chloride solution (n = 12); main group: animals with the introduction of alprostadil (n = 12)). The methods of light microscopy (staining with alcian and toluidine blue, according to Van Gieson, Weigert – Van Gieson and Picro-Mallory) and morphometry were used.Results and discussion. As a result of the study, it was found that the four-fold administration of alprostadil had a significant effect on the structure of the dense fibrous connective tissue of the plantar foot of laboratory animals. The mechanisms of damage (edema, microhemorrhages, infiltration by lymphocytes, plasmocytes and leukocytes, dystrophy by the type of mucoid and fibrinoid swelling, delamination and rupture of collagen fibers), adaptation and regeneration (the appearance of a large number of activated fibrocytes, fibroblasts, microvessels, neoplasm of collagen fibers) were activated. All this together led to spatial focal histotopographic changes, consisting in an increase in the cellular composition of connective tissue structures against the background of a noticeable violation of their spatial orientation.Conclusion. Modeling of fasciopathy using alprostadil was accompanied by the appearance of mosaic reversible and irreversible heteromorphic and heterochronous changes in all connective tissue aponeurotic structures. Such histotopographic changes should be considered as one of the reasons for the clinical manifestations of plantar fasciopathies, causing functional insufficiency and explaining the clinical recurrent nature of the pathological process
Two-stage evolution of mantle peridotites from the Stalemate Fracture Zone, northwestern Pacific
This paper reports the results of a mineralogical study of 14 mantle peridotite samples dredged in 2009 from the eastern slope of the northwestern segment of the Stalemate Ridge in the northwestern Pacific during cruise SO201-KALMAR Leg 1b of the R/V Sonne. The sample collection included four serpentinized and silicified dunites and ten variably serpentinized lherzolites. The compositions of primary minerals (clinopyroxene, orthopyroxene, and spinel) change systematically from the lherzolites to dunites. Spinel from the lherzolites shows higher Mg# and lower Cr# values (0.65-0.68 and 0.26-0.33, respectively) compared with spinel from the dunites (Mg# = 0.56-0.64 and Cr# = 0.38-0.43). Clinopyroxene from the lherzolites is less magnesian (Mg# = 91.7-92.4) than clinopyroxene from dunite sample DR37-3 (Mg# = 93.7). Based on the obtained data, it was concluded that the lherzolites of the Stalemate Fracture Zone were derived by 10-12% near-fractional melting of a DMM-type depleted mantle reservoir beneath the Kula-Pacific spreading center. The dunites were produced by interaction of residual lherzolites with sodium- and titaniumrich melt and are probably fragments of a network of dunite channels in the shallow mantle. The moderately depleted composition of minerals clearly distinguishes the lherzolites from the strongly depleted peridotites of the East Pacific Rise and indicates the existence of slow-spreading mid-ocean ridges in the Pacific Ocean during the Cretaceous-Paleogene
Nested Bethe ansatz for "all" closed spin chains
We present in an unified and detailed way the Nested Bethe Ansatz for closed
spin chains based on Y(gl(n)), Y(gl(m|n)), U_q(gl(n)) or U_q(gl(m|n))
(super)algebras, with arbitrary representations (i.e. `spins') on each site of
the chain. In particular, the case of indecomposable representations of
superalgebras is studied. The construction extends and unifies the results
already obtained for spin chains based on Y(gl(n)) or U_q(gl(n)) and for some
particular super-spin chains. We give the Bethe equations and the form of the
Bethe vectors. The case of gl(2|1), gl(2|2$ and gl(4|4) superalgebras (that are
related to AdS/CFT correspondence) is also detailed.Comment: 30 pages; New section on indecomposable representations added and the
case of gl(2|1), gl(2|2) and gl(4|4) superalgebras (that are related to
AdS/CFT correspondence) is also detaile
Superconformal mechanics
We survey the salient features and problems of conformal and superconformal
mechanics and portray some of its developments over the past decade. Both
classical and quantum issues of single- and multiparticle systems are covered.Comment: 1+68 pages, invited review for Journal of Physics A; v2: revised text
extended by 4 pages and 11 references, published versio
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