Canonical quantization and black hole perturbations

We examine the possibility of a constraint-free quantization of linearized gravity, based on the Teukolsky equation for black hole perturbations. We exhibit a simple quadratic (but complex) Lagrangian for the Teukolsky equation, leading to the interpretation that the elementary excitations (gravitons bound to the Kerr black hole) are unstable.Comment: Contribution to the XIXth Max Born Symposium, Wroclaw. 10 pages, LaTeX, no figure

Non-Abelian Vortices with a Twist

Non-Abelian flux-tube (string) solutions carrying global currents are found in the bosonic sector of 4-dimensional N=2 super-symmetric gauge theories. The specific model considered here posseses U(2)local x SU(2)global symmetry, with two scalar doublets in the fundamental representation of SU(2). We construct string solutions that are stationary and translationally symmetric along the x3 direction, and they are characterized by a matrix phase between the two doublets, referred to as "twist". Consequently, twisted strings have nonzero (global) charge, momentum, and in some cases even angular momentum per unit length. The planar cross section of a twisted string corresponds to a rotationally symmetric, charged non-Abelian vortex, satisfying 1st order Bogomolny-type equations and 2nd order Gauss-constraints. Interestingly, depending on the nature of the matrix phase, some of these solutions even break rotational symmetry in R3. Although twisted vortices have higher energy than the untwisted ones, they are expected to be linearly stable since one can maintain their charge (or twist) fixed with respect to small perturbations.Comment: 18 pages, 5 figure

Charge Screening in the Abelian Higgs Model

In the Abelian Higgs model electric (and magnetic) fields of external charges (and currents) are screened by the scalar field. In this contribution, complementing recent investigations of Ishihara and Ogawa, we present a detailed investigation of charge screening using a perturbative approach with the charge strength as an expansion parameter. It is shown how perfect global and remarkably good local screening can be derived from Gauss' theorem, and the asymptotic form of the fields far from the sources. The perturbative results are shown to compare favourably to the numerical onesa.L. acknowledges the support of the Spanish Ministerio de Ciencia, Innovacion y Universidades (Grant No. PCI2018-092896) and the EU (QuantERA CEBBEC

Nontopological Solitons in Abelian Gauge Theories Coupled to U(1) x U(1) Symmetric Scalar Fields

In a series of recent works, Ishihara and Ogawa have investigated nontopological solitons (Q-balls) in a spontaneously broken Abelian gauge theory coupled to two complex scalar fields. The present paper extends their investigations to the most general U(1) x U(1) symmetric quartic potential. Also, a new class of charged Q-ball solutions with vanishing self-interaction terms is investigated and some of their remarkable properties are exhibited.We thank Professor Hideki Ishihara for correspondence concerning the numerical methods used in Refs. [19,20]. We acknowledge the support of the Spanish Ministerio de Ciencia, Innovacion y Universidades (Grant No. PCI2018-092896) and the EU (QuantERA Controlling EPR and Bell correlations in Bose-Einstein condensates

Examining the racing performance and longevity in the Hungarian Thoroughbred population

The aim of the study was to examine the factors affecting longevity (as the number of years spent in race) in the Hungarian Thoroughbred horse population, and to investigate the total earnings won during lifetime and per start. The performance data was collected from 3,029 Thoroughbred horses (1,704 female, 1,674 male) born between 1996 and 2018 in Hungary with full known racing career. A multivariate generalized linear model was used to estimate the effect of sex of the horses, age at first start and the month of birth to longevity, expressed by the number of starts and years spent in race. Age of the horses at first start had a significant effect on the years spent in race, thereafter the model was dissected into age groups initiating a more accurate research. This showed that birth month also have a momentous effect on the examined traits in case of 2-year-old horses. Age of the horses at first start also affected the lifetime earnings. Sex of the horses had no effect on longevity in 2-year olds however, males are more likely to race because female horses tend to win less money

Type I-like behavior of the type II α7 nicotinic acetylcholine receptor positive allosteric modulator A-867744

Cognitive impairment often involves the decreased expression or hypofunction of alpha 7-type nicotinic acetylcholine receptors (alpha 7 nAChRs). Agonists or positive allosteric modulators (PAMs) of alpha 7 nAChRs are known to be potential treatments for dementias, different neurodegenerative disorders, pain syndromes and conditions involving inflammation. In some of these conditions, it is desirable to maintain the temporal precision of fast cholinergic events, while in others, this temporal precision is unnecessary. For this reason, the optimal therapeutic effect for distinct indications may require PAMs with different mechanisms of action. The two major mechanisms are called "type I", which are compounds that augment alpha 7 nAChR-mediated currents but maintain their characteristic fast kinetics; and "type II", which are compounds that produce augmented and prolonged currents. In this study, we performed a kinetic analysis of two type II PAMs of the alpha 7 nAChR: PNU-120596 and A-867744, using a fast perfusion method that allowed high temporal resolution. We characterized the type of modulation produced by the two compounds, the state-dependence of the modulatory action, and the interaction between the two compounds. We found fundamental differences between the modulation mechanisms by PNU-120596 and A-867744. Most importantly, during brief agonist pulses, A-867744 caused a strikingly type I-like modulation, while PNU-120596 caused a type II-like prolonged activation. Our results demonstrate that specific compounds, even though all labeled as type II PAMs, can behave in completely different ways, including their onset and offset kinetics, state preference, and single channel open time. Our results emphasize that subtle details of the mechanism of action may be significant in assessing the therapeutic applicability of alpha 7 nAChR PAM compounds

Classification of drugs based on properties of sodium channel inhibition: a comparative automated patch-clamp study.

BACKGROUND: There is only one established drug binding site on sodium channels. However, drug binding of sodium channels shows extreme promiscuity: ∼25% of investigated drugs have been found to potently inhibit sodium channels. The structural diversity of these molecules suggests that they may not share the binding site, and/or the mode of action. Our goal was to attempt classification of sodium channel inhibitors by measuring multiple properties of inhibition in electrophysiology experiments. We also aimed to investigate if different properties of inhibition correlate with specific chemical properties of the compounds. METHODOLOGY/PRINCIPAL FINDINGS: A comparative electrophysiological study of 35 compounds, including classic sodium channel inhibitors (anticonvulsants, antiarrhythmics and local anesthetics), as well as antidepressants, antipsychotics and neuroprotective agents, was carried out using rNav1.2 expressing HEK-293 cells and the QPatch automatic patch-clamp instrument. In the multi-dimensional space defined by the eight properties of inhibition (resting and inactivated affinity, potency, reversibility, time constants of onset and offset, use-dependence and state-dependence), at least three distinct types of inhibition could be identified; these probably reflect distinct modes of action. The compounds were clustered similarly in the multi-dimensional space defined by relevant chemical properties, including measures of lipophilicity, aromaticity, molecular size, polarity and electric charge. Drugs of the same therapeutic indication typically belonged to the same type. We identified chemical properties, which were important in determining specific properties of inhibition. State-dependence correlated with lipophilicity, the ratio of the neutral form of molecules, and aromaticity: We noticed that the highly state dependent inhibitors had at least two aromatic rings, logP>4.0, and pKa<8.0. CONCLUSIONS/SIGNIFICANCE: The correlations of inhibition properties both with chemical properties and therapeutic profiles would not have been evident through the sole determination of IC(50); therefore, recording multiple properties of inhibition may allow improved prediction of therapeutic usefulness