A matrix model for a quantum hall droplet with manifest particle-hole symmetry

We find that a gauged matrix model of rectangular fermionic matrices (a matrix version of the fermion harmonic oscillator) realizes a quantum hall droplet with manifest particle-hole symmetry. The droplet consists of free fermions on the topology of a sphere. It is also possible to deform the Hamiltonian by double trace operators, and we argue that this device can produce two body potentials which might lead the system to realize a fractional quantum hall state on the sphere. We also argue that a single gauged fermionic quantum mechanics of hermitian matrices realizes a droplet with an edge that has $c=1/2$ CFT on it.Comment: 25 pages, uses JHEP format, young.sty (included). v2: Updated references, typos correcte

Seeing More than Orange: Organizational Respect and Positive Identity Transformation in a Prison Context

This paper develops grounded theory on how receiving respect at work enables individuals to engage in positive identity transformation and the resulting personal and work-related outcomes. A company that employs inmates at a state prison to perform professional business-to-business marketing services provided a unique context for data collection. Our data indicate that inmates experienced respect in two distinct ways, generalized and particularized, which initiated an identity decoupling process that allowed them to distinguish between their inmate identity and their desired future selves and to construct transitional identities that facilitated positive change. The social context of the organization provided opportunities for personal and social identities to be claimed, respected, and granted, producing social validation and enabling individuals to feel secure in their transitional identities. We find that security in personal identities produces primarily performance-related outcomes, whereas security in the company identity produces primarily well-being-related outcomes. Further, these two types of security together foster an integration of seemingly incompatible identities—”identity holism”—as employees progress toward becoming their desired selves. Our work suggests that organizations can play a generative role in improving the lives of their members through respect-based processes

“You Never Get it Out of Your Bones”: The Christ-Haunted Security of Jean Louise “Scout” Finch in Harper Lee\u27s \u3ci\u3eTo Kill a Mockingbird\u3c/i\u3e and \u3ci\u3eGo Set a Watchman\u3c/i\u3e

Harper Lee’s novels To Kill a Mockingbird and Go Set a Watchman emphasize the struggle of mid-twentieth century Southern identity as Southerners searched for security, and she does so particularly in her main character, Jean Louise “Scout” Finch. Throughout the novels, Jean Louise fights to find a balance within herself as she learns to decide what to accept or reject from her Southern culture. Using New Historicism and Southern Female Gender Studies, this thesis analyzes the character development of Jean Louise “Scout” in the novels and the traits she consistently accepts—discrimination and respect, honor of family, grace—and the ones she rejects—traditional Southern femininity, an “Us vs. Them” mentality (by recognizing her “colorblindness” and the “Other(s)”), and legalism. Moreover, Jean Louise “Scout” appears to find this balance between accepting and rejecting these traits due to her innate “Christ-haunted” nature (a term created by Flannery O’Connor); this ability is her subconscious and theological understanding that every man can be “whole.” In the end, this thesis not only discusses this specific type of character development within Jean Louise, but it also supports how Watchman—despite its more negative reception—is a key piece to properly reading this character

Aspects of emergent geometry in the AdS/CFT context

We study aspects of emergent geometry for the case of orbifold superconformal field theories in four dimensions, where the orbifolds are abelian within the AdS/CFT proposal. In particular, we show that the realization of emergent geometry starting from the N=4 SYM theory in terms of a gas of particles in the moduli space of vacua of a single D3 brane in flat space gets generalized to a gas of particles on the moduli space of the corresponding orbifold conformal field theory (a gas of D3 branes on the orbifold space). Our main purpose is to show that this can be analyzed using the same techniques as in the N=4 SYM case by using the method of images, including the measure effects associated to the volume of the gauge orbit of the configurations. This measure effect gives an effective repulsion between the particles that makes them condense into a non-trivial vacuum configuration, and it is exactly these configurations that lead to the geometry of X in the AdS x X dual field theoryComment: 24 page

Spinning String and Giant Graviton in Electric/Magnetic Field Deformed AdS3×S3×T4AdS_3 \times S^3 \times T^4

We apply the transformation of mixing azimuthal and internal coordinate or mixing time and internal coordinate to the 11D M-theory with a stack of M2-branes $\bot$ M2-branes, then, through the mechanism of Kaluza-Klein reduction and a series of the T duality we obtain the corresponding background of a stack of D1-branes $\bot$ D5-branes which, in the near-horizon limit, becomes the magnetic or electric Melvin field deformed $AdS_3 \times S^3 \times T^4$. We find the giant graviton solution in the deformed spacetime and see that the configuration whose angular momentum is within a finite region could has a fixed size and become more stable than the point-like graviton, in contrast to the undeformed giant graviton which only exists when its angular momentum is a specific value and could have arbitrary size. We discuss in detail the properties of how the electric/magnetic Melvin field will affect the size of the giant gravitons. We also adopt an ansatz to find the classical string solutions which are rotating in the deformed $S^3$ with an angular momentum in the rotation plane. The spinning string and giant graviton solutions we obtained show that the external magnetic/electric flux will increase the solution energy. Therefore, from the AdS/CFT point of view, the corrections of the anomalous dimensions of operators in the dual field theory will be positive. Finally, we also see that the spinning string and giant graviton in the near-horizon spacetime of Melvin field deformed D5-branes background have the similar properties as those in the deformed $AdS_3 \times S^3 \times T^4$.Comment: Latex 21 pages, slightly detail calculation

Quantizing Open Spin Chains with Variable Length: an example from Giant Gravitons

We study an XXX open spin chain with variable number of sites, where the variability is introduced only at the boundaries. This model arises naturally in the study of Giant Gravitons in the AdS/CFT correspondence. We show how to quantize the spin chain by mapping its states to a bosonic lattice of finite length with sources and sinks of particles at the boundaries. Using coherent states, we show how the Hamiltonian for the bosonic lattice gives the correct description of semiclassical open strings ending on Giant Gravitons.Comment: 4 pages. v2: updated reference

Bubbling 1/2 BPS Geometries and Penrose Limits

We discuss how to take a Penrose limit in bubbling 1/2 BPS geometries at the stage of a single function z(x_1,x_2,y). By starting from the z of the AdS_5 x S^5 we can directly derive that of the pp-wave via the Penrose limit. In that time the function z for the pp-wave with 1/R^2-corrections is obtained. We see that it surely reproduces the pp-wave with 1/R^2 terms. In addition we consider the Penrose limit in the configuration of the concentric rings.Comment: 15 pages, 3 figures, LaTeX, v2:higher order corrections are added, typos corrected and references added, version to appear in PR

1/2 BPS Geometries of M2 Giant Gravitons

We construct the general 1/2 BPS M2 giant graviton solutions asymptotic to the eleven-dimensional maximally supersymmetric plane wave background, based on the recent work of Lin, Lunin and Maldacena. The solutions have null singularity and we argue that it is unavoidable to have null singularity in the proposed framework, although the solutions are still physically relevant. They involve an arbitrary function F(x) which is shown to have a correspondence to the 1/2 BPS states of the BMN matrix model. A detailed map between the 1/2 BPS states of both sides is worked out.Comment: 21 pages and 1 figure. v2: references added, comments adde

Civil Wars and Economic Growth in Sub-Saharan Africa1

This paper uses panel data from a sample of Sub-Saharan African (SSA) countries over the 1960-96 period and both Instrumental Variables (IV) and dynamic panel data (DPD98) estimator to investigate the effect of the incidence and severity of civil war on the growth rate of per capita income. We find that both factors have a robust, negative and statistically significant effect on the growth rate of per capita income. We find that civil war affects the growth rate of income partly through reduced investment in physical capital. However, if one does not control for the correlation between civil war incidence and other growth factors, the estimated effect of civil war on economic growth is not robust. We are unable to find any significant relationship between the level of income and the incidence of civil war in SSA countries after controlling for other variables that are correlated with income level

Instantons, supersymmetric vacua, and emergent geometries

We study instanton solutions and superpotentials for the large number of vacua of the plane-wave matrix model and a 2+1 dimensional Super Yang-Mills theory on $R\times S^2$ with sixteen supercharges. We get the superpotential in the weak coupling limit from the gauge theory description. We study the gravity description of these instantons. Perturbatively with respect to a background, they are Euclidean branes wrapping cycles in the dual gravity background. Moreover, the superpotential can be given by the energy of the electric charge system characterizing each vacuum. These charges are interpreted as the eigenvalues of matrices from a reduction for the 1/8 BPS sector of the gauge theories. We also discuss qualitatively the emergence of the extra spatial dimensions appeared on the gravity side.Comment: 29 pages, 3 figures, latex. v2: references added, comments added. v3: accepted version in PR