Non-Higgsable QCD and the Standard Model Spectrum in F-theory

Many four-dimensional supersymmetric compactifications of F-theory contain gauge groups that cannot be spontaneously broken through geometric deformations. These "non-Higgsable clusters" include realizations of $SU(3)$, $SU(2)$, and $SU(3) \times SU(2)$, but no $SU(n)$ gauge groups or factors with $n> 3$. We study possible realizations of the standard model in F-theory that utilize non-Higgsable clusters containing $SU(3)$ factors and show that there are three distinct possibilities. In one, fields with the non-abelian gauge charges of the standard model matter fields are localized at a single locus where non-perturbative $SU(3)$ and $SU(2)$ seven-branes intersect; cancellation of gauge anomalies implies that the simplest four-dimensional chiral $SU(3)\times SU(2)\times U(1)$ model that may arise in this context exhibits standard model families. We identify specific geometries that realize non-Higgsable $SU(3)$ and $SU(3) \times SU(2)$ sectors. This kind of scenario provides a natural mechanism that could explain the existence of an unbroken QCD sector, or more generally the appearance of light particles and symmetries at low energy scales.Comment: v1: 29 pages + reference

Matter in transition

We explore a novel type of transition in certain 6D and 4D quantum field theories, in which the matter content of the theory changes while the gauge group and other parts of the spectrum remain invariant. Such transitions can occur, for example, for SU(6) and SU(7) gauge groups, where matter fields in a three-index antisymmetric representation and the fundamental representation are exchanged in the transition for matter in the two-index antisymmetric representation. These matter transitions are realized by passing through superconformal theories at the transition point. We explore these transitions in dual F-theory and heterotic descriptions, where a number of novel features arise. For example, in the heterotic description the relevant 6D SU(7) theories are described by bundles on K3 surfaces where the geometry of the K3 is constrained in addition to the bundle structure. On the F-theory side, non-standard representations such as the three-index antisymmetric representation of SU(N) require Weierstrass models that cannot be realized from the standard SU(N) Tate form. We also briefly describe some other situations, with groups such as Sp(3), SO(12), and SU(3), where analogous matter transitions can occur between different representations. For SU(3), in particular, we find a matter transition between adjoint matter and matter in the symmetric representation, giving an explicit Weierstrass model for the F-theory description of the symmetric representation that complements another recent analogous construction.Comment: 107 pages, 3 figures, 32 tables. In version 2, one figure and comments added on the geometry of matter transition

Letter from James Washington to James B. Finley

Washington encloses a Memorial from the Council of the Wyandot Nation. He asks Finley to present it on their behalf at the General Conference of 1848. Abstract Number - 780https://digitalcommons.owu.edu/finley-letters/2286/thumbnail.jp

Lou\u27siana Blues

https://digitalcommons.library.umaine.edu/mmb-vp/2032/thumbnail.jp

Connectivity differences between Gulf War Illness (GWI) phenotypes during a test of attention

One quarter of veterans returning from the 1990–1991 Persian Gulf War have developed Gulf War Illness (GWI) with chronic pain, fatigue, cognitive and gastrointestinal dysfunction. Exertion leads to characteristic, delayed onset exacerbations that are not relieved by sleep. We have modeled exertional exhaustion by comparing magnetic resonance images from before and after submaximal exercise. One third of the 27 GWI participants had brain stem atrophy and developed postural tachycardia after exercise (START: Stress Test Activated Reversible Tachycardia). The remainder activated basal ganglia and anterior insulae during a cognitive task (STOPP: Stress Test Originated Phantom Perception). Here, the role of attention in cognitive dysfunction was assessed by seed region correlations during a simple 0-back stimulus matching task (“see a letter, push a button”) performed before exercise. Analysis was analogous to resting state, but different from psychophysiological interactions (PPI). The patterns of correlations between nodes in task and default networks were significantly different for START (n = 9), STOPP (n = 18) and control (n = 8) subjects. Edges shared by the 3 groups may represent co-activation caused by the 0-back task. Controls had a task network of right dorsolateral and left ventrolateral prefrontal cortex, dorsal anterior cingulate cortex, posterior insulae and frontal eye fields (dorsal attention network). START had a large task module centered on the dorsal anterior cingulate cortex with direct links to basal ganglia, anterior insulae, and right dorsolateral prefrontal cortex nodes, and through dorsal attention network (intraparietal sulci and frontal eye fields) nodes to a default module. STOPP had 2 task submodules of basal ganglia–anterior insulae, and dorsolateral prefrontal executive control regions. Dorsal attention and posterior insulae nodes were embedded in the default module and were distant from the task networks. These three unique connectivity patterns during an attention task support the concept of Gulf War Disease with recognizable, objective patterns of cognitive dysfunction

The Effect of Business Development Services on Performance of Small and Medium Manufacturing Enterprises in Kenya

Small and Medium Enterprises have been regarded to play significant roles of job creation, poverty alleviation and economic development of many countries worldwide. These enterprises are however affected by many different factors. How these factors manifest singly or jointly is therefore a key concern for these organizations. Vital among these factors are business development services that affect how organizations produce and sell their goods and services. There is however a dearth of studies focusing on effects of aspects of business development services on organizational performance in Kenya. This study aimed at establishing how market access, procurement services and infrastructure facilities affect performance of small and medium manufacturing enterprises in Kenya. The study adopted a cross sectional survey design and examined primary data collected from 150 enterprises in Nairobi. Inferential statistics were used to interrogate relationships between independent variables and performance while descriptive statistics were used to determine distribution, central tendency and dispersion and hence establish conformity to linear regression requirements. Contrary to expectation, the results for market access did not show any relationship but procurement services and infrastructure facilities each had a positive and significant influence on performance of the enterprises. Furthermore, it was established that the joint effect of the three variables on performance of studied firms is greater than their individual effect. This study therefore concludes that, since procurement services and infrastructure facilities showed a positive influence on performance of small and medium manufacturing enterprises in Kenya, these enterprises should adopt strategies that enhance procurement and improve infrastructure facilities to experience better performance