General F-theory models with tuned (SU⁡(3)×SU⁡(2)×U⁡(1))/Z6(\operatorname{SU}(3) \times \operatorname{SU}(2) \times \operatorname{U}(1)) / \mathbb{Z}_6 symmetry

We construct a general form for an F-theory Weierstrass model over a general base giving a 6D or 4D supergravity theory with gauge group $(\operatorname{SU}(3) \times \operatorname{SU}(2) \times \operatorname{U}(1)) / \mathbb{Z}_6$ and generic associated matter, which includes the matter content of the standard model. The Weierstrass model is identified by unHiggsing a model with $\operatorname{U}(1)$ gauge symmetry and charges $q \le 4$ previously found by the first author. This model includes two distinct branches that were identified in earlier work, and includes as a special case the class of models recently studied by Cveti\v{c}, Halverson, Lin, Liu, and Tian, for which we demonstrate explicitly the possibility of unification through an $\operatorname{SU}(5)$ unHiggsing. We develop a systematic methodology for checking that a parameterized class of F-theory Weierstrass models with a given gauge group $G$ and fixed matter content is generic (contains all allowed moduli) and confirm that this holds for the models constructed here.Comment: 36 pages, LaTe

Lookahead Pathology in Monte-Carlo Tree Search

Monte-Carlo Tree Search (MCTS) is an adversarial search paradigm that first found prominence with its success in the domain of computer Go. Early theoretical work established the game-theoretic soundness and convergence bounds for Upper Confidence bounds applied to Trees (UCT), the most popular instantiation of MCTS; however, there remain notable gaps in our understanding of how UCT behaves in practice. In this work, we address one such gap by considering the question of whether UCT can exhibit lookahead pathology -- a paradoxical phenomenon first observed in Minimax search where greater search effort leads to worse decision-making. We introduce a novel family of synthetic games that offer rich modeling possibilities while remaining amenable to mathematical analysis. Our theoretical and experimental results suggest that UCT is indeed susceptible to pathological behavior in a range of games drawn from this family

Forbidden oxygen lines at various nucleocentric distances in comets

To study the formation of the [OI] lines - i.e., 5577 A (the green line), 6300 A and 6364 A (the two red lines) - in the coma of comets and to determine the parent species of the oxygen atoms using the green to red-doublet emission intensity ratio (G/R ratio) and the lines velocity widths. We acquired at the ESO VLT high-resolution spectroscopic observations of comets C/2002 T7 (LINEAR), 73P-C/Schwassmann-Wachmann 3, 8P/Tuttle, and, 103P/Hartley 2 when they were close to the Earth (< 0.6 au). Using the observed spectra, we determined the intensities and the widths of the three [OI] lines. We have spatially extracted the spectra in order to achieve the best possible resolution of about 1-2", i.e., nucleocentric projected distances of 100 to 400 km depending on the geocentric distance of the comet. We have decontaminated the [OI] green line from C2 lines blends. It is found that the observed G/R ratio on all four comets varies as a function of nucleocentric projected distance. This is mainly due to the collisional quenching of O(1S) and O(1D) by water molecules in the inner coma. The observed green emission line width is about 2.5 km/s and decreases as the distance from the nucleus increases which can be explained by the varying contribution of CO2 to the O(1S) production in the innermost coma. The photodissociation of CO2 molecules seems to produce O(1S) closer to the nucleus while the water molecule forms all the O(1S) and O(1D) atoms beyond 1000 km. Thus we conclude that the main parent species producing O(1S) and O(1D) in the inner coma is not always the same. The observations have been interpreted in the framework of the coupled-chemistry-emission model of Bhardwaj & Raghuram (2012) and the upper limits of CO2 relative abundances are derived from the observed G/R ratios. Measuring the [OI] lines could indeed provide a new way to determine the CO2 relative abundance in comets.Comment: accepted for publication in A&A, the abstract is shortene

Automatic Enhancement in 6D Supergravity and F-theory Models

We observe that in many F-theory models, tuning a specific gauge group $G$ and matter content $M$ under certain circumstances leads to an automatic enhancement to a larger gauge group $G' \supset G$ and matter content $M' \supset M$. We propose that this is true for any theory $G, M$ whenever there exists a containing theory $G', M'$ that cannot be Higgsed down to $G, M$. We give a number of examples including non-Higgsable gauge factors, nonabelian gauge factors, abelian gauge factors, and exotic matter. In each of these cases, tuning an F-theory model with the desired features produces either an enhancement or an inconsistency, often when the associated anomaly coefficient becomes too large. This principle applies to a variety of models in the apparent 6D supergravity swampland, including some of the simplest cases with U(1) and SU(N) gauge groups and generic matter, as well as infinite families of U(1) models with higher charges presented in the prior literature, potentially ruling out all these apparent swampland theories.Comment: 56 pages, LaTe

A perspective on reactive nitrogen in a global, Asian and Indian context

Reactive nitrogen (Nr) includes the inorganic (NH3, NH+4 , NOx, HNO3, N2O, NO-3) and organic forms (urea, amines, proteins, nucleic acids) that readily participate in various reactions of the global N cycle. Over the last half a century, anthropogenic perturbations of the natural N cycle have led to the increasing accumulation of inorganic Nr in the soil, water and air, intentionally through agriculture and unintentionally through fossil-fuel consumption and other activities, adversely affecting human health, biodiversity, environment and climate change. One of the major emerging challenges of this century will be to ensure adequate availability of Nr inputs for agriculture and other activities, while preventing their unwanted accumulation. This article provides an overall perspective of the emerging issues related to Nr in the global, Asian and Indian contexts

Bat pollination of kapok tree, Ceiba pentandra

Two species of pteropodid bats Cynopterus sphinx and Pteropus giganteus visited inflorescences of kapok trees, Ceiba pentandra through the night. A third species, Rousettus leschenaulti infrequently visited the inflorescences. Both C. sphinx and P. giganteus foraged in groups and there were temporal variations in their visits to the trees. The ventral body surfaces of the bats were covered with pollen grains when they landed on the inflorescences to lap up the nectar. In addition to bats, moths also visited the inflorescences. Bat and insectexclusion experiments were performed to study their pollination efficiency. Bats were more efficient in pollinating flowers of C. pentandra than other pollinators like insects

Focal Epithelial Hyperplasia: A Rare Case Report

Focal epithelial hyperplasia is a rare entity of oral mucosa induced by Human Papilloma virus type 13 and 32. It was described by Estrada in 1956 within a group of Colombian Caramanda Indians. In Latin America it is called Multifocal Papilloma virus induced epithelial hyperplasia. It is common in younger age groups. Generally it is very rare in Asia. Here we report a case of 32 year old male who came with a complaint of burning sensation for past 6 months. The lesion was diagnosed as Focal epithelial hyperplasia according to clinical and Histopathological features. Dental clinicians should be aware of these lesions with a careful clinical and Histopathological observation under definitive diagnosis

A motorized rotation mount for the switching of an optical beam path in under 20 ms using polarization control

We present a simple motorized rotation mount for a half-wave plate that can be used to rapidly change the polarization of light. We use the device to switch a high power laser beam between different optical dipole traps in an ultracold atom experiment. The device uses a stepper motor with a hollow shaft, which allows a beam to propagate along the axis of the motor shaft, minimizing inertia and mechanical complexity. A simple machined adapter is used to mount the wave plate. We characterize the performance of the device, focusing on its capability to switch a beam between the output ports of a polarizing beam splitter cube. We demonstrate a switching time of 15.9(3) ms, limited by the torque of the motor. The mount has a reaction time of 0.52(3) ms and a rotational resolution of 0.45(4)°. The rotation is highly reproducible, with the stepper motor not missing a step in 2000 repeated tests over 11 h

PDC2, a yeast gene essential for synthesis of pyruvate decarboxylase, encodes a novel transcription factor

A positive regulatory gene PDC2 required for expression of the enzyme pyruvate decarboxylase (PDC) in the yeast Saccharomyces cerevisiae has been identified and cloned. The pdc2 mutant lacks pyruvate decarboxylase activity and is unable to grow on a medium containing glucose. PDC2 disruptants are viable on ethanol. The PDC2 gene product is essential for transcription of PDC1 and PDC5, the structural genes of pyruvate decarboxylase. The PDC2 gene codes for a low-abundance mRNA of approximately 2.8 kb. Transformation of a wild-type strain with multiple copies of the promoter ofPDC1 leads to decreased pyruvate decarboxylase activity, presumably owing to titration of trans-acting factors. Normal activity is restored by multiple copies of PDC2, implicating involvement ofPDC2 in transcription of PDC1. The deduced PDC2 protein (Pdc2p) sequence contains 925 amino acids, and is rich in asparagine and serine. We fused the DNA sequence encoding the N-terminal domain of Gal4p to the sequence encoding the C-terminal of Pdc2p; the hybrid protein (Gal4-Pdc2p) was able to activate transcription of the GAL1-lucZ fusion gene. The active domain consists of an unusual structure with a strikingly high asparagine content. We propose that this asparagine-rich domain represents a novel structural motif for transcriptional activation. PDC2 maps on chromosome IV betweencdc34 andarol; PDC1 is on the left arm of chromosome XII, linked topprl