Elliptic genera of ALE and ALF manifolds from gauged linear sigma models

We compute the equivariant elliptic genera of several classes of ALE and ALF manifolds using localization in gauged linear sigma models. In the sigma model computation the equivariant action corresponds to chemical potentials for U(1) currents and the elliptic genera exhibit interesting pole structure as a function of the chemical potentials. We use this to decompose the answers into polar terms that exhibit wall crossing and universal terms. We compare our results to previous results on the large radius limit of the Taub-NUT elliptic genus and also discuss applications of our results to counting of BPS world-sheet spectrum of monopole strings in the 5d N=2 super Yang-Mills theory and self-dual strings in the 6d N=(2,0) theories.Comment: 1+60 page

Crafting A Human Resource Strategy To Foster Organizational Agility: A Case Study

A decade ago, the CEO of Albert Einstein Healthcare Network (AEHN), anticipating a tumultuous and largely unpredictable period in its industry, undertook to convert this organization from one that was basically stable and complacent to one that was agile, “nimble, and change-hardy”. This case study briefly addresses AEHN’s approaches to business strategy and organization design, but focuses primarily on the human resource strategy that emerged over time to foster the successful attainment of organizational agility. Although exploratory, the study suggests a number of lessons for those who are, or will be, studying or trying to create and sustain this promising new organizational paradigm

Inequalities in Illinois Constitutional Equality

In 1970 four new equality provisions were added to the Illinois Constitution, including two explicit equal protection provisions and two explicit antidiscrimination provisions. Shortly thereafter, Elmer Gertz, the Chair of the Bill of Rights Committee for the relevant constitutional convention, declared that we in Illinois have gone beyond all other states and the federal government in eliminating discrimination. Unfortunately, a few years later Gertz lamented that while Illinois had the strongest nondiscrimination provisions of any state constitution, these provisions had only yielded unrealized expectations. Today, the 1970 equality mandates continue to be unrealized. This paper reviews the four provisions and then demonstrates what went wrong, criticizing both the state legislature and high court. In particular, it examines the shortcomings of the Illinois Human Rights Act whose stated goal was to secure and guarantee the new equality rights. While the Act extends statutory equality protections to some who are without explicit constitutional equality guarantees, the Act also fails to protect others who were expressly assured protections in 1970. For example, the Article I, Section 17 assurances of freedom from discrimination on the basis of race, color, creed, national ancestry and sex in the hiring and promotion practices of any employer or in the sale or rental of property remain unrealized as the Act covers, but then exempts, many persons subject to discrimination in employment and property transactions. The paper concludes with suggested reforms that will help to realize the unique promises of Illinois constitutional equality

Trumping the First Amendment?

The primary goal of this Essay is to assess whether the relationship between the ideology of Supreme Court Justices and their support for the First Amendment guarantees of speech, press, assembly, and association has declined, such that left-of-center Justices no longer consistently support those guarantees, and right-of-center Justices no longer consistently support their regulation. Utilizing data drawn from the 1953 through 2004 terms of the Court, we show that, in disputes in which only First Amendment claims are at issue, the more liberal the Justice, the higher the likelihood that he or she will vote in favor of litigants alleging an abridgment of their rights. That relationship, however, fails to emerge in disputes in which other values, such as privacy and equality, are also prominently at stake. In these cases, liberal Justices are no more likely than their conservative counterparts to support the First Amendment; indeed, if anything, a reversal of sorts occurs, with conservatives more likely, and liberals less likely, to vote in favor of the speech, press, assembly, or association claim. Taken collectively, these results indicate that commitment to First Amendment values is no longer a lodestar of liberalism. We consider the implications of these findings in light of long-held assumptions of (quantitative) political science work on the Court

Bringing global gyrokinetic turbulence simulations to the transport timescale using a multiscale approach

The vast separation dividing the characteristic times of energy confinement and turbulence in the core of toroidal plasmas makes first-principles prediction on long timescales extremely challenging. Here we report the demonstration of a multiple-timescale method that enables coupling global gyrokinetic simulations with a transport solver to calculate the evolution of the self-consistent temperature profile. This method, which exhibits resiliency to the intrinsic fluctuations arising in turbulence simulations, holds potential for integrating nonlocal gyrokinetic turbulence simulations into predictive, whole-device models.Comment: 7 pages, 3 figure