Finite Heisenbeg Groups and Seiberg Dualities in Quiver Gauge Theories

A large class of quiver gauge theories admits the action of finite Heisenberg groups of the form Heis(Z_q x Z_q). This Heisenberg group is generated by a manifest Z_q shift symmetry acting on the quiver along with a second Z_q rephasing (clock) generator acting on the links of the quiver. Under Seiberg duality, however, the action of the shift generator is no longer manifest, as the dualized node has a different structure from before. Nevertheless, we demonstrate that the Z_q shift generator acts naturally on the space of all Seiberg dual phases of a given quiver. We then prove that the space of Seiberg dual theories inherits the action of the original finite Heisenberg group, where now the shift generator Z_q is a map among fields belonging to different Seiberg phases. As examples, we explicitly consider the action of the Heisenberg group on Seiberg phases for C^3/Z_3, Y^{4,2} and Y^{6,3} quiver.Comment: 22 pages, five figure

Supersymmetry and the AdS Higgs Phenomenon

We examine the AdS Higgs phenomenon for spin-1 fields, and demonstrate that graviphotons pick up a dynamically generated mass in AdS_4, once matter boundary conditions are relaxed. We perform an explicit one-loop calculation of the graviphoton mass, and compare this result with the mass generated for the graviton in AdS. In this manner, we obtain a condition for unbroken supersymmetry. With this condition, we examine both N=2 and N=4 gauged supergravities coupled to matter multiplets, and find that for both cases the ratio between dynamically generated graviton and graviphoton masses is consistent with unbroken supersymmetry.Comment: 12 pages, JHEP forma

Central Extensions of Finite Heisenberg Groups in Cascading Quiver Gauge Theories

Many conformal quiver gauge theories admit nonconformal generalizations. These generalizations change the rank of some of the gauge groups in a consistent way, inducing a running in the gauge couplings. We find a group of discrete transformation that acts on a large class of these theories. These transformations form a central extension of the Heisenberg group, generalizing the Heisenberg group of the conformal case, when all gauge groups have the same rank. In the AdS/CFT correspondence the nonconformal quiver gauge theory is dual to supergravity backgrounds with both five-form and three-form flux. A direct implication is that operators counting wrapped branes satisfy a central extension of a finite Heisenberg group and therefore do not commute.Comment: 25 pages, 12 figure

Nurse-Driven Protocol to Reduce Urinary Catheter Infections: A Quality Improvement Project

Costs of healthcare are astronomical, not only in the financial sense, but in many aspects of life for both patients and healthcare providers. Costs include those accompanying healthcare associated infections (HAI), where as a result of environmental factors, a patient acquires an infection during their admission. Since 2008, Medicare and Medicaid no longer reimburse hospitals for infections deemed ‘reasonably preventable.’ The biggest offender of this type of HAI is overwhelmingly, catheter associated urinary tract infections (CAUTI) (Kennedy, Greene & Saint, 2013). With approximately 31% of the inpatient population requiring an indwelling catheter at some point throughout their stay, risk of infection increases daily (Adams, Bucior, Day & Rimmer, 2012). Outcomes of this infection can be linked to bloodstream infections (BSI), and increased morbidity and mortality (Kennedy, Greene & Saint, 2013). This quality improvement project aims to implement a nurse-driven protocol for indwelling catheter removal, based on evidence that the duration of the time a catheter is in place is directly proportional to the risk for infection. By revising current protocol, an intensive care unit (ICU) at an acute care hospital will pilot this nurse-driven protocol, prompt frequent reassessment of the indication for removal, and if no longer in need, remove the catheter. The National Healthcare Safety Network lists reduction of CAUTI by 25% as one of their goals by 2020 (CDC, 2017)