String Theory and the Dark Glueball Problem

We study cosmological constraints on dark pure Yang-Mills sectors. Dark glueballs are overproduced for large regions of ultraviolet parameter space. The problem may be alleviated in two ways: via a large preferential reheating into the visible sector, motivating certain inflation or modulus decay models, or via decays into axions or moduli, which are strongly constrained by nucleosynthesis and $\Delta N_{\text{eff}}$ bounds. String models frequently have multiple hidden Yang-Mills sectors, which are subject to even stronger constraints due to the existence of multiple dark glueballs.Comment: 10 page

Conscience, Incorporated

Do business corporations have free exercise rights? This question has become critically important in recent challenges to the Affordable Care Act’s so-called “contraception mandate.” A host of businesses selling ordinary goods and services claim that they cannot be compelled to provide employees with insurance that covers contraception. Courts have divided over whether corporations can assert rights of conscience, and existing theoretical accounts fail to provide guidance on this question. This Article offers a new normative framework for evaluating corporate claims of conscience. Drawing on theories of conscience and collective rights, it develops a “social theory” of conscience that explains how individual moral identity is formed within associations and, consequently, how the social structure of those associations can support institutional claims for legal exemptions. The social theory of conscience has direct implications for free exercise doctrine. For an institution to assert a valid claim, it must be a constitutive community, such that individual members regard the collective as intimately tied to their sense of self. Some institutions, like churches and other religious organizations, fit comfortably in this category. But the legal, social, and economic norms that govern modern business practice pervasively undermine the formation of tight personal connections to for-profit corporations and thereby erode the normative basis for institutional legal exemptions. Free exercise doctrine should therefore resist corporate claims to exemptions from the law

Dark Glueballs and their Ultralight Axions

Dark gauge sectors and axions are well-motivated in string theory. We demonstrate that if a confining gauge sector gives rise to dark glueballs that are a fraction of the dark matter, and the associated axion has a decay constant near the string scale, then this axion is ultralight and naturally realizes the fuzzy dark matter scenario with a modest tuning of a temperature ratio. Astrophysical observations constrain the size of the glueball component relative to the axionic component, while electric dipole moments constrain mixing with the QCD axion.Comment: 8 pages, 2 figure

On the mechanics of discontinuous fibre reinforced composite materials (with particular reference to damping)

Summary: p. [ii-iv]

The Trouble with Corporate Conscience

Accomplished corporate law scholars claim that modern businesses need an infusion of morality. Disappointed by conventional regulatory responses to recurring corporate scandal, these scholars argue that corporate conscience provides a more fruitful path to systemic economic reform. In Burwell v. Hobby Lobby, which held that for-profit businesses can claim religious exemptions from general laws, the Supreme Court gave this notion of corporate conscience added momentum. Emboldened by the Court\u27s embrace of business goals extending beyond shareholder profit, proponents of a moralized marketplace now celebrate corporate conscience as an idea whose time has come. This Essay criticizes the leading arguments for corporate conscience. These arguments identify three plausible sources of corporate morality-shareholders, managers, and society as a whole. Although initially appealing, each account ultimately proves impractical, illegitimate, or self-defeating. These shortcomings not only give us reason to reject existing accounts on their own terms, but may also reveal a more accurate and attractive picture of the modern corporate world

Exploring the Vacuum Geometry of N=1 Gauge Theories

Using techniques of algorithmic algebraic geometry, we present a new and efficient method for explicitly computing the vacuum space of N=1 gauge theories. We emphasize the importance of finding special geometric properties of these spaces in connecting phenomenology to guiding principles descending from high-energy physics. We exemplify the method by addressing various subsectors of the MSSM. In particular the geometry of the vacuum space of electroweak theory is described in detail, with and without right-handed neutrinos. We discuss the impact of our method on the search for evidence of underlying physics at a higher energy. Finally we describe how our results can be used to rule out certain top-down constructions of electroweak physics.Comment: 35 pages, 2 figures, LaTe

Vacuum Geometry and the Search for New Physics

We propose a new guiding principle for phenomenology: special geometry in the vacuum space. New algorithmic methods which efficiently compute geometric properties of the vacuum space of N=1 supersymmetric gauge theories are described. We illustrate the technique on subsectors of the MSSM. The fragility of geometric structure that we find in the moduli space motivates phenomenologically realistic deformations of the superpotential, while arguing against others. Special geometry in the vacuum may therefore signal the presence of string physics underlying the low-energy effective theory.Comment: 8 pages, LaTeX; v2: revised title, minor changes in wording, reference adde