440 research outputs found
Chiral perturbation theory for lattice QCD including O(a^2)
The O(a^2) contributions to the chiral effective Lagrangian for lattice QCD
with Wilson fermions are constructed. The results are generalized to partially
quenched QCD with Wilson fermions as well as to the "mixed'' lattice theory
with Wilson sea quarks and Ginsparg-Wilson valence quarks.Comment: 3 pages, Lattice2003 (spectrum
On Witten's global anomaly for higher SU(2) representations
The spectral flow of the overlap operator is computed numerically along a
particular path in gauge field space. The path connects two gauge equivalent
configurations which differ by a gauge transformation in the non-trivial class
of pi_4(SU(2)). The computation is done with the SU(2) gauge field in the
fundamental, the 3/2, and the 5/2 representation. The number of eigenvalue
pairs that change places along this path is established for these three
representations and an even-odd pattern predicted by Witten is verified.Comment: 24 pages, 12 eps figure
The Dirac operator on untrapped surfaces
We establish a sharp extrinsic lower bound for the first eigenvalue of the
Dirac operator of an untrapped surface in initial data sets without apparent
horizon in terms of the norm of its mean curvature vector. The equality case
leads to rigidity results for the constraint equations with spherical boundary
as well as uniqueness results for constant mean curvature surfaces in Minkowski
space.Comment: 16 page
Generic metrics and the mass endomorphism on spin three-manifolds
Let be a closed Riemannian spin manifold. The constant term in the
expansion of the Green function for the Dirac operator at a fixed point is called the mass endomorphism in associated to the metric due to
an analogy to the mass in the Yamabe problem. We show that the mass
endomorphism of a generic metric on a three-dimensional spin manifold is
nonzero. This implies a strict inequality which can be used to avoid
bubbling-off phenomena in conformal spin geometry.Comment: 8 page
Rigidity of compact Riemannian spin Manifolds with Boundary
In this article, we prove new rigidity results for compact Riemannian spin
manifolds with boundary whose scalar curvature is bounded from below by a
non-positive constant. In particular, we obtain generalizations of a result of
Hang-Wang \cite{hangwang1} based on a conjecture of Schroeder and Strake
\cite{schroeder}.Comment: English version of "G\'eom\'etrie spinorielle extrins\`eque et
rigidit\'es", Corollary 6 in Section 3 added, to appear in Letters Math. Phy
The Cauchy problems for Einstein metrics and parallel spinors
We show that in the analytic category, given a Riemannian metric on a
hypersurface and a symmetric tensor on , the metric
can be locally extended to a Riemannian Einstein metric on with second
fundamental form , provided that and satisfy the constraints on
imposed by the contracted Codazzi equations. We use this fact to study the
Cauchy problem for metrics with parallel spinors in the real analytic category
and give an affirmative answer to a question raised in B\"ar, Gauduchon,
Moroianu (2005). We also answer negatively the corresponding questions in the
smooth category.Comment: 28 pages; final versio
Nonexistence of Generalized Apparent Horizons in Minkowski Space
We establish a Positive Mass Theorem for initial data sets of the Einstein
equations having generalized trapped surface boundary. In particular we answer
a question posed by R. Wald concerning the existence of generalized apparent
horizons in Minkowski space
Optimal eigenvalues estimate for the Dirac operator on domains with boundary
We give a lower bound for the eigenvalues of the Dirac operator on a compact
domain of a Riemannian spin manifold under the \MIT bag boundary condition.
The limiting case is characterized by the existence of an imaginary Killing
spinor.Comment: 10 page
Spectral Bounds for Dirac Operators on Open Manifolds
We extend several classical eigenvalue estimates for Dirac operators on
compact manifolds to noncompact, even incomplete manifolds. This includes
Friedrich's estimate for manifolds with positive scalar curvature as well as
the author's estimate on surfaces.Comment: pdflatex, 14 pages, 3 figure
ARTD2 activity is stimulated by RNA
ADP-ribosyltransferases (ARTs) are important enzymes that regulate the genotoxic stress response and the maintenance of genome integrity. ARTD1 (PARP1) and ARTD2 (PARP2) are homologous proteins that modify themselves and target proteins by the addition of mono- and poly-ADP-ribose (PAR) moieties. Both enzymes have been described to be involved in the genotoxic stress response. Here, we characterize cellular PAR formation on hydrogen peroxide (H2O2) or N-methyl-N′-methyl-nitro-N-nitrosoguanidine (MNNG) stress, in combination with application of the RNA polymerase I inhibitor Actinomycin D (ActD), known to cause accumulation of short RNA polymerase I-dependent rRNA transcripts. Intriguingly, co-treatment with ActD substantially increased H2O2- or MNNG-induced PAR formation. In cells, this enhancement was predominantly mediated by ARTD2 and not ARTD1. In vitro experiments confirmed that ARTD2 is strongly activated by RNA and that the N-terminal SAP domain is important for the binding to RNA. Thus, our findings identify a new activator of ARTD2-dependent ADP-ribosylation, which has important implications for the future analysis of the biological role of ARTD2 in the nucleu
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