251 research outputs found
Torus Knot and Minimal Model
We reveal an intimate connection between the quantum knot invariant for torus
knot T(s,t) and the character of the minimal model M(s,t), where s and t are
relatively prime integers. We show that Kashaev's invariant, i.e., the
N-colored Jones polynomial at the N-th root of unity, coincides with the
Eichler integral of the character.Comment: 10 page
Minimal Unitary Models and The Closed SU(2)-q Invariant Spin Chain
We consider the Hamiltonian of the closed invariant chain. We
project a particular class of statistical models belonging to the unitary
minimal series. A particular model corresponds to a particular value of the
coupling constant. The operator content is derived. This class of models has
charge-dependent boundary conditions. In simple cases (Ising, 3-state Potts)
corresponding Hamiltonians are constructed. These are non-local as the original
spin chain.Comment: 19 pages, latex, no figure
Scaling functions from q-deformed Virasoro characters
We propose a renormalization group scaling function which is constructed from
q-deformed fermionic versions of Virasoro characters. By comparison with
alternative methods, which take their starting point in the massive theories,
we demonstrate that these new functions contain qualitatively the same
information. We show that these functions allow for RG-flows not only amongst
members of a particular series of conformal field theories, but also between
different series such as N=0,1,2 supersymmetric conformal field theories. We
provide a detailed analysis of how Weyl characters may be utilized in order to
solve various recurrence relations emerging at the fixed points of these flows.
The q-deformed Virasoro characters allow furthermore for the construction of
particle spectra, which involve unstable pseudo-particles.Comment: 31 pages of Latex, 5 figure
Fermionic representations for characters of M(3,t), M(4,5), M(5,6) and M(6,7) minimal models and related Rogers-Ramanujan type and dilogarithm identities
Characters and linear combinations of characters that admit a fermionic sum
representation as well as a factorized form are considered for some minimal
Virasoro models. As a consequence, various Rogers-Ramanujan type identities are
obtained. Dilogarithm identities producing corresponding effective central
charges and secondary effective central charges are derived. Several ways of
constructing more general fermionic representations are discussed.Comment: 14 pages, LaTex; minor correction
Physical States in G/G Models and 2d Gravity
An analysis of the BRST cohomology of the G/G topological models is performed
for the case of . Invoking a special free field parametrization of
the various currents, the cohomology on the corresponding Fock space is
extracted. We employ the singular vector structure and fusion rules to
translate the latter into the cohomology on the space of irreducible
representations. Using the physical states we calculate the characters and
partition function, and verify the index interpretation. We twist the
energy-momentum tensor to establish an intriguing correspondence between the
model with level and models
coupled to gravity.Comment: 42 page
Incidencia de un plan de ejercicio físicos específicos de estimulación neuropsicomotora en los niveles de deterioro cognitivo (DC) en adultos mayores del Htal. Luis Lagomaggiore de Mendoza
Se enfatiza que con un plan de anual de ejercicios específicos deestimulación neuropsicomotora, se impacta favorablemente no solamente en superardeterioro y deficiencias a nivel físico sino también con cambios significativos a nivelcognitivo, conductual y social. Inferimos y proponemos para próximos estudios, que con laevaluación de la condición y función física en el consultorio, se podría detectar el riesgo dedesarrollar de DC preclínico, sin necesidad de recurrir a neuroimágenes o a pruebasneurocognitivas más complejas
Active focal segmental glomerulosclerosis is associated with massive oxidation of plasma albumin
The basic mechanism for idiopathic FSGS still is obscure. Indirect evidence in humans and generation of FSGS by oxidants
in experimental models suggest a role of free radicals. In vitro studies demonstrate a main role of plasma albumin as
antioxidant, its modification representing a chemical marker of oxidative stress. With the use of complementary liquid
chromatography electron spray ionization tandem mass spectrometry (LC-ESI-MS/MS) and biochemical methods, plasma
albumin was characterized in 34 patients with FSGS; 18 had received a renal transplant, and 17 had IgM mesangial deposition.
Patients with FSGS that was in remission or without recurrence after transplantation had normal plasma albumin, and the
same occurred in patients with primary and secondary nephrites and with chronic renal failure. In contrast, patients with
active FSGS or with posttransplantation recurrence had oxidized plasma albumin. This finding was based on the characterization
of albumin Cys 34 with an mass-to-charge ratio of 511.71 in triple charge that was consistent with the formation of a
cysteic acid carrying a sulfonic group (alb-SO3-). The exact mass of albumin was increased accordingly (+48 Da) for
incorporation of three oxygen radicals. Direct titration of the free sulfhydryl group 34 of plasma albumin and electrophoretic
titration curves confirmed loss of free sulfhydryl group and formation of a fast-moving isoform in all cases with disease
activity. This is the first demonstration of in vivo plasma albumin oxidation that was obtained with an adequate structural
approach. Albumin oxidation seems to be specific for FSGS, suggesting some pathogenetic implications. Free radical
involvement in FSGS may lead to specific therapeutic interventions
Fermionic solution of the Andrews-Baxter-Forrester model II: proof of Melzer's polynomial identities
We compute the one-dimensional configuration sums of the ABF model using the
fermionic technique introduced in part I of this paper. Combined with the
results of Andrews, Baxter and Forrester, we find proof of polynomial
identities for finitizations of the Virasoro characters
as conjectured by Melzer. In the thermodynamic limit
these identities reproduce Rogers--Ramanujan type identities for the unitary
minimal Virasoro characters, conjectured by the Stony Brook group. We also
present a list of additional Virasoro character identities which follow from
our proof of Melzer's identities and application of Bailey's lemma.Comment: 28 pages, Latex, 7 Postscript figure
The spin-1/2 XXZ Heisenberg chain, the quantum algebra U_q[sl(2)], and duality transformations for minimal models
The finite-size scaling spectra of the spin-1/2 XXZ Heisenberg chain with
toroidal boundary conditions and an even number of sites provide a projection
mechanism yielding the spectra of models with a central charge c<1 including
the unitary and non-unitary minimal series. Taking into account the
half-integer angular momentum sectors - which correspond to chains with an odd
number of sites - in many cases leads to new spinor operators appearing in the
projected systems. These new sectors in the XXZ chain correspond to a new type
of frustration lines in the projected minimal models. The corresponding new
boundary conditions in the Hamiltonian limit are investigated for the Ising
model and the 3-state Potts model and are shown to be related to duality
transformations which are an additional symmetry at their self-dual critical
point. By different ways of projecting systems we find models with the same
central charge sharing the same operator content and modular invariant
partition function which however differ in the distribution of operators into
sectors and hence in the physical meaning of the operators involved. Related to
the projection mechanism in the continuum there are remarkable symmetry
properties of the finite XXZ chain. The observed degeneracies in the energy and
momentum spectra are shown to be the consequence of intertwining relations
involving U_q[sl(2)] quantum algebra transformations.Comment: This is a preprint version (37 pages, LaTeX) of an article published
back in 1993. It has been made available here because there has been recent
interest in conformal twisted boundary conditions. The "duality-twisted"
boundary conditions discussed in this paper are particular examples of such
boundary conditions for quantum spin chains, so there might be some renewed
interest in these result
On the Quantum Invariant for the Spherical Seifert Manifold
We study the Witten--Reshetikhin--Turaev SU(2) invariant for the Seifert
manifold where is a finite subgroup of SU(2). We show
that the WRT invariants can be written in terms of the Eichler integral of the
modular forms with half-integral weight, and we give an exact asymptotic
expansion of the invariants by use of the nearly modular property of the
Eichler integral. We further discuss that those modular forms have a direct
connection with the polyhedral group by showing that the invariant polynomials
of modular forms satisfy the polyhedral equations associated to .Comment: 36 page
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