Sphalerons and the Electroweak Phase Transition in Models with Higher Scalar Representations

In this work we investigate the sphaleron solution in a $SU(2)\times U(1)_X$ gauge theory, which also encompasses the Standard Model, with higher scalar representation(s) ($J^{(i)},X^{(i)}$). We show that the field profiles describing the sphaleron in higher scalar multiplet, have similar trends like the doublet case with respect to the radial distance. We compute the sphaleron energy and find that it scales linearly with the vacuum expectation value of the scalar field and its slope depends on the representation. We also investigate the effect of $U(1)$ gauge field and find that it is small for the physical value of the mixing angle, $\theta_{W}$ and resembles the case for the doublet. For higher representations, we show that the criterion for strong first order phase transition, $v_{c}/T_{c}>\eta$, is relaxed with respect to the doublet case, i.e. $\eta<1$.Comment: 20 pages, 5 figures & 1 table, published versio

f(R) theories

Over the past decade, f(R) theories have been extensively studied as one of the simplest modifications to General Relativity. In this article we review various applications of f(R) theories to cosmology and gravity - such as inflation, dark energy, local gravity constraints, cosmological perturbations, and spherically symmetric solutions in weak and strong gravitational backgrounds. We present a number of ways to distinguish those theories from General Relativity observationally and experimentally. We also discuss the extension to other modified gravity theories such as Brans-Dicke theory and Gauss-Bonnet gravity, and address models that can satisfy both cosmological and local gravity constraints.Comment: 156 pages, 14 figures, Invited review article in Living Reviews in Relativity, Published version, Comments are welcom

3-(1H-indol-3-yl)-2-[3-(4-nitrophenyl)ureido]propanamide enantiomers with human formyl-peptide receptor agonist activity: Molecular modeling of chiral recognition by FPR2.

N-formyl peptide receptors (FPRs) are G protein-coupled receptors (GPCRs) that play critical roles in inflammatory reactions, and FPR-specific interactions can possibly be used to facilitate the resolution of pathological inflammatory reactions. Recent studies indicated that FPRs have stereo-selective preference for chiral ligands. Here, we investigated the structure-activity relationship of 24 chiral ureidopropanamides, including previously reported compounds PD168368/PD176252 and their close analogs, and used molecular modeling to define chiral recognition by FPR2. Unlike previously reported 6-methyl-2,4-disubstituted pyridazin-3(2H)-ones, whose R-forms preferentially activated FPR1/FPR2, we found that four S-enantiomers in the seven ureidopropanamide pairs tested preferentially activated intracellular Ca(2+) flux in FPR2-transfected cells, while the R-counterpart was more active in two enantiomer pairs. Thus, active enantiomers of FPR2 agonists can be in either R- or S-configurations, depending on the molecular scaffold and specific substituents at the chiral center. Using molecular modeling approaches, including field point methodology, homology modeling, and docking studies, we propose a model that can explain stereoselective activity of chiral FPR2 agonists. Importantly, our docking studies of FPR2 chiral agonists correlated well with the FPR2 pharmacophore model derived previously. We conclude that the ability of FPR2 to discriminate between the enantiomers is the consequence of the arrangement of the three asymmetric hydrophobic subpockets at the main orthosteric FPR2 binding site with specific orientation of charged regions in the subpockets

Novel 3-(1H-indol-3-yl)-2-[3-(4-methoxyphenyl)ureido]propanamides as selective agonists of human formyl-peptide receptor 2.

N-formyl peptide receptors (FPRs) are G protein-coupled receptors (GPCRs) that play critical roles in inflammatory reactions, and FPR-specific interactions can possibly be used to facilitate the resolution of pathological inflammatory reactions. We here report the synthesis and biological evaluation of six pairs of chiral ureidopropanamido derivatives as potent and selective formyl peptide receptor-2 (FPR2) agonists, that were designed starting from our lead agonist (S)-3-(1H-indol-3-yl)-2-[3-(4-methoxyphenyl)ureido]-N-[[1-(5-methoxy-2-pyridinyl)cyclohexyl]methyl]propanamide ((S)-9a). The new compounds were obtained in overall yields considerably higher than (S)-9a. Various of the new compounds showed agonist properties comparable to that of (S)-9a along with higher selectivity over FPR1. Molecular modeling was used to define chiral recognition by FPR2. In vitro metabolic stability of selected compounds was also assessed to obtain preliminary insight on drug-like properties of this class of compounds