Miracle-dz/UniFAR-FTUs huggingface dataset:
Uncolored random tensors, melon diagrams, and the Sachdev-Ye-Kitaev models

Certain models with rank-$3$ tensor degrees of freedom have been shown by Gurau and collaborators to possess a novel large $N$ limit, where $g^2 N^3$ is held fixed. In this limit the perturbative expansion in the quartic coupling constant, $g$, is dominated by a special class of "melon" diagrams. We study "uncolored" models of this type, which contain a single copy of real rank-$3$ tensor. Its three indexes are distinguishable; therefore, the models possess $O(N)^3$ symmetry with the tensor field transforming in the tri-fundamental representation. Such uncolored models also possess the large $N$ limit dominated by the melon diagrams. The quantum mechanics of a real anti-commuting tensor therefore has a similar large $N$ limit to the model recently introduced by Witten as an implementation of the Sachdev-Ye-Kitaev (SYK) model which does not require disorder. Gauging the $O(N)^3$ symmetry in our quantum mechanical model removes the non-singlet states; therefore, one can search for its well-defined gravity dual. We point out, however, that the model possesses a vast number of gauge-invariant operators involving higher powers of the tensor field, suggesting that the complete gravity dual will be intricate. We also discuss the quantum mechanics of a complex 3-index anti-commuting tensor, which has $U(N)^2\times O(N)$ symmetry and argue that it is equivalent in the large $N$ limit to a version of SYK model with complex fermions. Finally, we discuss similar models of a commuting tensor in dimension $d$. While the quartic interaction is not positive definite, we construct the large $N$ Schwinger-Dyson equation for the two-point function and show that its solution is consistent with conformal invariance. We carry out a perturbative check of this result using the $4-\epsilon$ expansion.
Unified catalogue of class II methanol masers at 6 ghz

In this paper we present a unified catalogue which contains published data about class II methanol masers at 6 v GHz. Our catalogue contains information about 495 maser sources. The data on some parameters of emission in "quasi-thermal" molecular lines CS(2-1) and SiO(2-1) is also included in our catalogue. Using the unified catalogue we studied correlations between some parameters of the sources. Analysis of the data shows the following: physical conditions within the usual maser source vary considerably; maser brightness is determined by parameters of some distinguished part of the object - maser formation region; class II methanol masers are formed not in the shocks but in the regions affected by their propagation.
Volume-preserving automorphisms of C⊃n⊃

Let Aut1(C n ) be the group of all automorphisms F of Cn with Jacobian J(F) equal to 1. A shear is a map of type where f is independent of zn and Gn is the subgroup of Aut1 (C n )consisting of all finite compositions of shears. We prove THEOREM A . THLOREM B G 2 is a proper subgroup of Aut1(C 2). In particular, the map of C 2 is not in G 2. THEOREM C G n is dense in Aut1(C n) in the topology of uniform convergence on compact subsets. THEOREM D If F:C n →C n . Fis entire. J(F)=1 and m∈N, there is S m∈G n such that .
Constraints on high-J CO emission lines in z ∼ 6 quasars

We present Atacama Large Millimiter/submillimiter Array (ALMA) observations of eight highly excited CO (${\rm J_{\rm up}}$ >8) lines and continuum emission in two z ∼ 6 quasars: SDSS J231038.88+185519.7 (hereafter J2310), for which CO(8-7), CO(9-8), and CO(17-16) lines have been observed, and ULAS J131911.29+095951.4 (J1319), observed in the CO(14-13), CO(17-16) and CO(19-18) lines. The continuum emission of both quasars arises from a compact region (<0.9 kpc). By assuming a modified black-body law, we estimate dust masses of Log(Mdust/M⊙) = 8.75 ± 0.07 and Log(Mdust/M⊙) = 8.8 ± 0.2 and dust temperatures of Tdust = 76 ± 3 K and $T_{\rm dust}=66^{+15}_{-10}~{\rm K}$, respectively for J2310 and J1319. Only CO(8-7) and CO(9-8) in J2310 are detected, while 3σ upper limits on luminosities are reported for the other lines of both quasars. The CO line luminosities and upper limits measured in J2310 and J1319 are consistent with those observed in local AGN and starburst galaxies, and other z ∼ 6 quasars, except for SDSS J1148+5251 (J1148), the only quasar at z = 6.4 with a previous CO(17-16) line detection. By computing the CO SLEDs normalised to the CO(6-5) line and FIR luminosities for J2310, J1319, and J1149, we conclude that different gas heating mechanisms (X-ray radiation and/or shocks) may explain the different CO luminosities observed in these z ∼ 6 quasar. Future ${\rm J_{\rm up}}$ >8 CO observations will be crucial to understand the processes responsible for molecular gas excitation in luminous high-z quasars.
Subaru High-z Exploration of Low-luminosity Quasars (SHELLQs). V. Quasar Luminosity Function and Contribution to Cosmic Reionization at z = 6

We present new measurements of the quasar luminosity function (LF) at z ∼ 6 over an unprecedentedly wide range of the rest-frame ultraviolet luminosity M1450 from −30 to −22 mag. This is the fifth in a series of publications from the Subaru High-z Exploration of Low-Luminosity Quasars (SHELLQs) project, which exploits the deep multiband imaging data produced by the Hyper Suprime-Cam Subaru Strategic Program survey. The LF was calculated with a complete sample of 110 quasars at 5.7 ≤ z ≤ 6.5, which includes 48 SHELLQs quasars discovered over 650 deg2 and 63 brighter quasars discovered by the Sloan Digital Sky Survey and the Canada–France–Hawaii Quasar Survey (including one overlapping object). This is the largest sample of z ∼ 6 quasars with a well-defined selection function constructed to date, which has allowed us to detect significant flattening of the LF at its faint end. A double power-law function fit to the sample yields a faint-end slope , a bright-end slope , a break magnitude , and a characteristic space density Gpc−3 mag−1. Integrating this best-fit model over the range −18 < M1450 < −30 mag, quasars emit ionizing photons at the rate of s−1 Mpc−3 at z = 6.0. This is less than 10% of the critical rate necessary to keep the intergalactic medium ionized, which indicates that quasars are not a major contributor to cosmic reionization.
Past, Present and Future of UHECR Observations

Great advances have been made in the study of ultra-high energy cosmic rays (UHECR) in the past two decades. These include the discovery of the spectral cut-off near 5 x 10^19 eV and complex structure at lower energies, as well as increasingly precise information about the composition of cosmic rays as a function of energy. Important improvements in techniques, including extensive surface detector arrays and high resolution air fluorescence detectors, have been instrumental in facilitating this progress. We discuss the status of the field, including the open questions about the nature of spectral structure, systematic issues related to our understanding of composition, and emerging evidence for anisotropy at the highest energies. We review prospects for upgraded and future observatories including Telescope Array, Pierre Auger and JEM-EUSO and other space-based proposals, and discuss promising new technologies based on radio emission from extensive air showers produced by UHECR.
The origin of the two populations of blue stragglers in M30

We analyze the position of the two populations of blue stragglers in the globular cluster M30 in the Hertzsprung-Russell diagram. Both populations of blue stragglers are brighter than the cluster's turn-off, but one population (the blue blue-stragglers) align along the zero-age main-sequence whereas the (red) population is elevated in brightness (or colour) by $\sim 0.75$ mag. Based on stellar evolution and merger simulations we argue that the red population, which composes about 40\% of the blue stragglers in M 30, is formed at a constant rate of $\sim 2.8$ blue stragglers per Gyr over the last $\sim 10$ Gyr. The blue population is formed in a burst that started $\sim 3.2$ Gyr ago at a peak rate of $30$ blue stragglers per Gyr$^{-1}$ with an e-folding time scale of $0.93$ Gyr. We speculate that the burst resulted from the core collapse of the cluster at an age of about 9.8 Gyr, whereas the constantly formed population is the result of mass transfer and mergers through binary evolution. In that case about half the binaries in the cluster effectively result in a blue straggler.
4D-XY quantum criticality in a doped Mott insulator

A new phenomenology is proposed for the superfluid density of strongly underdoped cuprate superconductors based on recent data for ultra-clean single crystals of YBCO. The data feature a puzzling departure from Uemura scaling and a decline of the slope as the T_c = 0 quantum critical point is approached. We show that this behavior can be understood in terms of the renormalization of quasiparticle effective charge by quantum fluctuations of the superconducting phase as described by a (3+1)-dimensional XY model. We calculate the renormalization of the superfluid density and its slope, explain the new phenomenology, and predict its eventual demise close to the QCP.
On Relaxation Processes in Collisionless Mergers

We analyze N-body simulations of halo mergers to investigate the mechanisms responsible for driving mixing in phase space and the evolution to dynamical equilibrium. We focus on mixing in energy and angular momentum and show that mixing occurs in a steplike fashion following pericenter passages of the halos. This makes mixing during a merger unlike other well-known mixing processes such as phase mixing and chaotic mixing, whose rates scale with local dynamical time. We conclude that the mixing process that drives the system to equilibrium is primarily a response to energy and angular momentum redistribution that occurs due to impulsive tidal shocking and dynamical friction rather than a result of chaotic mixing in a changing potential. We also analyze the merger remnants to determine the degree of mixing at various radii by monitoring changes in radius, energy, and angular momentum of particles. We confirm previous findings that show that the majority of particles retain strong memory of their original kinetic energies and angular momenta, but do experience changes in their potential energies owing to the tidal shocks they experience during pericenter passages. Finally, we show that a significant fraction of mass (≈40%) in the merger remnant lies outside its formal virial radius, and that this matter is ejected roughly uniformly from all radii outside the inner regions. This highlights the fact that mass, in its standard virial definition, is not additive in mergers. We discuss the implications of these results for our understanding of relaxation in collisionless dynamical systems.
A retrospective analysis of sexually transmitted infections among males presenting to a tertiary care hospital of India

Context: Sexually transmitted infections (STIs) are one of the most neglected diseases, leading to a high percentage of morbidity and mortality in India. The World Health Organization estimated that 20% of persons living with human immunodeficiency virus/acquired immunodeficiency syndrome are in their 20s and one out of twenty adolescents contract an STI each year. Aims: The present study was conducted to study the characteristics of the pattern of STI in adult males and study the prevalence of various STIs among them. Settings and Design: This retrospective study was conducted by retrieving records of males presenting to STI laboratory of our tertiary care hospital between (April 2018 and December 2019). Subjects and Methods: The patients comprised high-risk group males, approached through nongovernmental organizations (NGOs) and slum population visiting the dispensary attached to our institute. The age group of the patient included was between 0 and 85 years. Results: A total of 1023 males presented to our STI laboratory out of which 124 (12.12%) were symptomatic. The most common complaint was urethral irritation seen in 22.5%, followed by discharge in 9.6%. The most common sexually transmitted disease among symptomatic (34/124) as well as asymptomatic (172/899) men was syphilis showing a combined prevalence of 20% (206/1023). Out of 124 symptomatic patients, 29 (23.38%) complained of urethritis due to gonococcal infection. The association between the two was found to be significant (i.e., P < 0.05). Conclusion: STIs are a serious health problem in our country. Approximately 6% of the adult population have one or the other STI amounting to 30–35 million cases per year. An intensive study is the need of the hour which could help clinicians as well as microbiologists to control the spread of these infections.
SARS-CoV-2 vaccines: What we know, what we can do to improve them and what we could learn from other well-known viruses

In recent weeks, the rate of SARS-CoV-2 infections has been progressively increasing all over the globe, even in countries where vaccination programs have been strongly implemented. In these regions in 2021, a reduction in the number of hospitalizations and deaths compared to 2020 was observed. This decrease is certainly associated with the introduction of vaccination measures. The process of the development of effective vaccines represents an important challenge. Overall, the breakthrough infections occurring in vaccinated subjects are in most cases less severe than those observed in unvaccinated individuals. This review examines the factors affecting the immunogenicity of vaccines against SARS-CoV-2 and the possible role of nutrients in modulating the response of distinct immune cells to the vaccination.
A Review of the Risk of Cutaneous Squamous Cell Carcinoma after Vismodegib Therapy

Since vismodegib’s approval for advanced or metastatic basal cell carcinoma, there has been concern over vismodegib’s potential to induce secondary neoplasms of the skin, such as cutaneous squamous cell carcinoma (cSCC). In this article, we provide a comprehensive review of the literature on vismodegib’s relationship to cSCC. A systematic search of PubMed and Ovid MEDLINE was performed with terms “vismodegib” AND “squamous cell carcinoma. ” Studies ranged from May 2013 to January 2022 and 25 articles were ultimately included. In total, of the 2576 patients included in the review, there were 197 cSCCs reported. Numerous reports have published conflicting findings. While one retrospective cohort study did find an increased risk, additional studies have found that the rates of cSCC are comparable between those exposed and those not exposed. Because a causal relationship between vismodegib and cSCC has not been proven, its use should not be avoided due to concerns of causing cSCC. However, patients treated with vismodegib should be closely monitored by dermatologists to evaluate for any suspicious changes. Large-scale, prospective, multi-center studies should be performed to definitively determine the risk of cSCC and vismodegib. It has been proposed that vismodegib may select for tumor cells utilizing the Ras/MAPK pathways.
Relativistic spectroscopy of the extreme NLS1 IRAS 13224-3809

The narrow line Seyfert 1 (NLS1) IRAS 13224-3809 is the most X-ray variable active galactic nucleus (AGN), exhibiting 0.3-10 keV flux changes of over an order of magnitude within an hour. We report on the results of the 1.5 Ms 2016 XMM-Newton/NuSTAR observing campaign, which revealed the presence of a 0.24c ultra-fast outflow in addition to the well-known strong relativistic reflection. We also summarise other key results of the campaign, such as the first detection of a non-linear RMS-flux relation in an accreting source, correlations between outflow absorption strength/velocity and source flux, and a disconnect between the X-ray and UV emission. Our results are consistent with a scenario where a disk wind is launched close to the black hole, imprinting absorption features into the spectrum and variability.
Kibble-Zurek scaling in holography

The Kibble-Zurek (KZ) mechanism describes the generations of topological defects when a system undergoes a second-order phase transition via quenches. We study the holographic KZ scaling using holographic superconductors. The scaling can be understood analytically from a scaling analysis of the bulk action. The argument is reminiscent of the scaling analysis of the mean-field theory but is more subtle and is not entirely obvious. This is because the scaling is not the one of the original bulk theory but is an emergent one that appears only at the critical point. The analysis is also useful to determine the dynamic critical exponent $z$.
Multiple Weyl and double-Weyl points in an elastic chiral lattice

We show that multiple Weyl and double-Weyl points (DWPs) arise in a chiral elastic system through stacking two-dimensional honeycomb mechanical structures. On the distinct kz plane, the band structures calculated from a tight-binding (TB) model exhibit Weyl points (WPs) at Brillouin vertices and DWPs at Brillouin centres. Based on the TB model, a practical chiral mechanical structure can be constructed by 3D printing technology. The numerical calculation illustrates several Weyl and DWPs as expected in our analysis of the TB model. To verify the topological feature, the topological charge of degeneracy is calculated. Within these WPs, we theoretically prove the existence of topologically protected surface modes, and their robustness against defects is also demonstrated.
Tuning effective hyperfine fields in PEDOT:PSS thin films by doping

Using electrically detected magnetic resonance spectroscopy, we demonstrate that doping the conducting polymer poly(3,4-ethylenedioxythiophene):poly(styrene-sulfonate) (PEDOT:PSS) with ethylene glycol allows for the control of effective local charge carrier hyperfine fields through motional narrowing. These results suggest that doping of organic semiconductors could enable the tuning of macroscopic material properties dependent on hyperfine fields such as magnetoresistance, magneto-optical responses, and spin diffusion.
Dynamic of Circulating DNAM-1+ Monocytes and NK Cells in Patients with STEMI Following Primary Percutaneous Coronary Intervention

Although the role of inflammation and adverse cardiac remodeling in myocardial infarction (MI) have been extensively explored, gaps in knowledge on the complex interaction between these processes still exist. Data suggest that DNAX accessory molecule-1 (DNAM-1), an activating receptor implicated in NK cell education, may be involved in cardiac remodeling following coronary artery occlusion. In the present study, we aimed to explore the dynamic of DNAM-1+ monocytes and NK cells in peripheral blood in the early phase following reperfusion in patients with ST-elevation MI (STEMI). The study enrolled 49 patients older than 18 years of age diagnosed with STEMI, referred to primary percutaneous coronary intervention (pPCI). Blood samples were obtained at three distinct points (at admission, 3 h, and 24 h after pPCI) and analyzed using flow cytometry. The number of circulating DNAM-1+ monocytes (CD16++ and CD14++) and CD56dimCD16++NK cells was significantly reduced 3 h after pPCI and subsequently returned to initial levels 24 h after procedure (p = 0.003, p < 0.001, and p = 0.002, respectively). Notably, such dynamic was dependent on age of patients. A positive correlation between high sensitivity troponin I levels and number of CD16++DNAM-1+ monocytes in peripheral blood 3 h after pPCI was observed (r = 0.431, p = 0.003). In conclusion, in the present study we delineated the post-reperfusion dynamic of DNAM-1-expresing leukocytes. Additionally, we demonstrated that the number of CD16++ DNAM-1+ monocytes correlate with the extent of myocardial injury.
Structural phenomena associated with the spin-state transition in LaCoO 3

The structural properties of ${\mathrm{LaCoO}}_{3}$ were studied by means of high-resolution neutron powder diffraction in the temperature range $5l~Tl~1000\mathrm{K}. $ Changes of the ${\mathrm{Co}}^{+3}$ spin states in this temperature interval are shown to affect not only the unit-cell volume, as previously known, but also internal parameters such as the metal-oxygen bond lengths. These data, as well as the temperature-dependent magnetic susceptibility, can be qualitatively modeled based on a three-state (low-spin, intermediate-spin, and high-spin) activated behavior, but correction terms are required for quantitative agreement. Our fits consistently indicate that the ionic radius of the intermediate-spin state (\ensuremath{\sim}0.56 \AA{}) is smaller than the low-spin/high-spin average (\ensuremath{\sim}0.58 \AA{}). We also present evidence of a third lattice anomaly, occurring around 800 K, which we attribute to the formation of oxygen vacancies.
Factoring with n+2 clean qubits and n-1 dirty qubits

We present reversible classical circuits for performing various arithmetic operations aided by dirty ancillae (i.e. extra qubits in an unknown state that must be restored before the circuit ends). We improve the number of clean qubits needed to factor an n-bit number with Shor's algorithm from 1.5n+O(1) to n+2, assisted by n-1 dirty qubits, without increasing the asymptotic size or depth of the circuit.
2D refractive index measurement of CO2 laser written planar optical waveguides

A reflectance measurement technique was used to determine the refractive index distribution of optical waveguides fabricated by a CW CO2 direct writing technique. The uniformity of refractive index has been verified along the waveguides structure and used as input for accurate beam propagation method (BPM) calculations of waveguide devices.
Charged spherically symmetric NUT and Taub-NUT black hole solutions in quadratic $f(R)$ gravity

$f(R)$ theory is a modification of Einstein general relativity which has many interesting results in cosmology and astrophysics. To derive solutions for black holes solution in this theory is difficult due to the fact that it is fourth order differential equations. In this study, we use the quadratic form of $f(R)=R+\beta R^2-2\Lambda$, where $\beta$ is a dimensional parameter and $\Lambda$ is the cosmological constant, to find the solutions of new 4-dimension spherically symmetric non-charged and charged NUT and Taub-NUT black holes. An interesting property for these black holes is the fact that NUT spacetime has a non-vanishing value of the magnetic field, while Taub-NUT one does magnetic and electric fields. We calculate the energy conditions of the charged black holes and show that all of them are satisfied for the Taub-NUT spacetime. Finally, we study some thermodynamic quantities such as entropy, temperature, specific heat and Gibbs free energy. The calculations of heat capacity and free energy show that the charged NUT and Taub NUT black holes have local stability.