910 research outputs found
Sp(2)-Symmetric Lagrangian BRST Quantization
One Lagrangian BRST quantization principle is that of imposing correct
Schwinger-Dyson equations through the BRST Ward identities. In this paper we
show how to derive the analogous -symmetric quantization condition in
flat coordinates from an underlying -symmetric Schwinger-Dyson BRST
symmetry. We also show under what conditions this can be recast in the language
of triplectic quantization.Comment: LaTeX, 19 page
BRST Gauge Fixing and Regularization
In the presence of consistent regulators, the standard procedure of BRST
gauge fixing (or moving from one gauge to another) can require non-trivial
modifications. These modifications occur at the quantum level, and gauges exist
which are only well-defined when quantum mechanical modifications are correctly
taken into account. We illustrate how this phenomenon manifests itself in the
solvable case of two-dimensional bosonization in the path-integral formalism.
As a by-product, we show how to derive smooth bosonization in
Batalin-Vilkovisky Lagrangian BRST quantization.Comment: LaTeX, 12 page
Redefining B-twisted topological sigma models
A recently proposed variation on the usual procedure to perform the
topological B-twist in rigid models is applied to the case of the model on a K\"ahler manifold. This leads to an alternative description of
Witten's topological model, which allows for a proper BRST
interpretation and ghost number assignement. We also show that the auxiliary
fields, which are responsible for the off shell closure of the algebra,
play an important role in our construction.Comment: one reference adde
The regularized BRST Jacobian of pure Yang-Mills theory
The Jacobian for infinitesimal BRST transformations of path integrals for
pure Yang-Mills theory, viewed as a matrix \unity +\Delta J in the space of
Yang-Mills fields and (anti)ghosts, contains off-diagonal terms. Naively, the
trace of vanishes, being proportional to the trace of the structure
constants. However, the consistent regulator \cR, constructed from a general
method, also contains off-diagonal terms. An explicit computation demonstrates
that the regularized Jacobian Tr\ \Delta J\exp -\cR /M^2 for is the variation of a local counterterm, which we give. This is a
direct proof at the level of path integrals that there is no BRST anomaly.Comment: 12 pages, latex, CERN-TH.6541/92, KUL-TF-92/2
An alternative BRST operator for topological Landau-Ginzburg models
We propose a new BRST operator for the B-twist of N=2 Landau-Ginzburg (LG) models. It solves the problem of the fractional ghost numbers of Vafa's old BRST operator and shows how the model is obtained by gauge fixing a zero action. An essential role is played by the anti-BRST operator,which is given by one of the supersymmetries of the N=2 algebra. Its presence is needed in proving that the model is indeed a topological field theory. The space of physical observables, defined by taking the anti-BRST cohomology in the BRST cohomology groups, is unchanged
Nonsense mutations in alpha-II spectrin in three families with juvenile onset hereditary motor neuropathy
Distal hereditary motor neuropathies are a rare subgroup of inherited peripheral neuropathies hallmarked by a length-dependent axonal degeneration of lower motor neurons without significant involvement of sensory neurons. We identified patients with heterozygous nonsense mutations in the alpha II-spectrin gene, SPTAN1, in three separate dominant hereditary motor neuropathy families via next-generation sequencing. Variable penetrance was noted for these mutations in two of three families, and phenotype severity differs greatly between patients. The mutant mRNA containing nonsense mutations is broken down by nonsense-mediated decay and leads to reduced protein levels in patient cells. Previously, dominant-negative alpha II-spectrin gene mutations were described as causal in a spectrum of epilepsy phenotypes
Conformal and Superconformal Mechanics
We investigate the conformal and superconformal properties of a
non-relativistic spinning particle propagating in a curved background coupled
to a magnetic field and with a scalar potential. We derive the conditions on
the couplings for a large class of such systems which are necessary in order
their actions admit conformal and superconformal symmetry. We find that some of
these conditions can be encoded in the conformal and holomorphic geometry of
the background. Several new examples of conformal and superconformal models are
also given.Comment: 46 pages, Phyzzx.te
Multisystem proteinopathy due to a homozygous p.Arg159His VCP mutation : a tale of the unexpected
ObjectiveTo assess the clinical, radiologic, myopathologic, and proteomic findings in a patient manifesting a multisystem proteinopathy due to a homozygous valosin-containing protein gene (VCP) mutation previously reported to be pathogenic in the heterozygous state.MethodsWe studied a 36-year-old male index patient and his father, both presenting with progressive limb-girdle weakness. Muscle involvement was assessed by MRI and muscle biopsies. We performed whole-exome sequencing and Sanger sequencing for segregation analysis of the identified p.Arg159His VCP mutation. To dissect biological disease signatures, we applied state-of-the-art quantitative proteomics on muscle tissue of the index case, his father, 3 additional patients with VCP-related myopathy, and 3 control individuals.ResultsThe index patient, homozygous for the known p.Arg159His mutation in VCP, manifested a typical VCP-related myopathy phenotype, although with a markedly high creatine kinase value and a relatively early disease onset, and Paget disease of bone. The father exhibited a myopathy phenotype and discrete parkinsonism, and multiple deceased family members on the maternal side of the pedigree displayed a dementia, parkinsonism, or myopathy phenotype. Bioinformatic analysis of quantitative proteomic data revealed the degenerative nature of the disease, with evidence suggesting selective failure of muscle regeneration and stress granule dyshomeostasis.ConclusionWe report a patient showing a multisystem proteinopathy due to a homozygous VCP mutation. The patient manifests a severe phenotype, yet fundamental disease characteristics are preserved. Proteomic findings provide further insights into VCP-related pathomechanisms
Integrable Schr\"odinger operators with magnetic fields: factorisation method on curved surfaces
The factorisation method for Schr\"odinger operators with magnetic fields on
a two-dimensional surface with non-trivial metric is investigated. This
leads to the new integrable examples of such operators and brings a new look at
some classical problems such as Dirac magnetic monopole and Landau problem. The
global geometric aspects and related spectral properties of the operators from
the factorisation chains are discussed in details. We also consider the Laplace
transformations on a curved surface and extend the class of Schr\"odinger
operators with two integrable levels introduced in the flat case by S.P.Novikov
and one of the authors.Comment: 20 page
Triplectic Quantization of W2 gravity
The role of one loop order corrections in the triplectic quantization is
discussed in the case of W2 theory. This model illustrates the presence of
anomalies and Wess Zumino terms in this quantization scheme where extended BRST
invariance is represented in a completely anticanonical form.Comment: 10 pages, no figure
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