Asymptotic Conformal Invariance of SU(2) and Standard Models in Curved Space-time

The asymptotic conformal invariance of some SU(2) model and Standard Model in curved space-time are investigated. We have examined the conditions for asymptotic conformal invariance for these models numerically.Comment: 13 pages, Revtex3.

On the potential functions for a link diagram

For an oriented diagram of a link $L$ in the 3-sphere, Cho and Murakami defined the potential function whose critical point, slightly different from the usual sense, corresponds to a boundary parabolic $\mathrm{PSL}(2,\mathbb{C})$-representation of $\pi_1(S^3 \setminus L)$. They also showed that the volume and Chern-Simons invariant of such a representation can be computed from the potential function with its partial derivatives. In this paper, we extend the potential function to a $\mathrm{PSL}(2,\mathbb{C})$-representation that is not necessarily boundary parabolic. Under a mild assumption, it leads us to a combinatorial formula for computing the volume and Chern-Simons invariant of a $\mathrm{PSL}(2,\mathbb{C})$-representation of a closed 3-manifold.Comment: 22 page

To Cut Pay or Lay Off: Exploring a Vexing HR Challenge

Key Findings: In today’s turbulent business environment the need to reduce payroll costs can arise at any time. Generally, this means resorting to one of two agonizing options: cutting pay or engaging in layoffs. The challenge, of course, is to select the option that meets the firm’s financial needs while minimizing the potential downsides involved. Several studies have examined the negative effects of cutbacks on employees. The results of these studies are of limited value to decision-makers, however, since overwhelmingly they focus either on pay cuts or on layoffs while making no attempt to compare the two. Here we report on a series of three studies that extends previous research in a couple of ways. Initially, by examining pay cuts versus layoffs to test their comparative effects. And then by explicitly considering the ways in which these effects vary depending on the context in which they are executed

Conformally Coupled Induced Gravity with Gradient Torsion

It is found that conformally coupled induced gravity with gradient torsion gives a dilaton gravity in Riemann geometry. In the Einstein frame of the dilaton gravity the conformal symmetry is hidden and a non-vanishing cosmological constant is not plausible due to the constraint of the conformal coupling.Comment: 8pages, LaTeX, no figure, to be appeared in PR

Convolutional Neural Networks for Sentence Classification

We report on a series of experiments with convolutional neural networks (CNN) trained on top of pre-trained word vectors for sentence-level classification tasks. We show that a simple CNN with little hyperparameter tuning and static vectors achieves excellent results on multiple benchmarks. Learning task-specific vectors through fine-tuning offers further gains in performance. We additionally propose a simple modification to the architecture to allow for the use of both task-specific and static vectors. The CNN models discussed herein improve upon the state of the art on 4 out of 7 tasks, which include sentiment analysis and question classification.Comment: To appear in EMNLP 201

Quasi-Local Conservation Equations in General Relativity

A set of exact quasi-local conservation equations is derived from the Einstein's equations using the first-order Kaluza-Klein formalism of general relativity in the (2,2)-splitting of 4-dimensional spacetime. These equations are interpreted as quasi-local energy, momentum, and angular momentum conservation equations. In the asymptotic region of asymptotically flat spacetimes, it is shown that the quasi-local energy and energy-flux integral reduce to the Bondi energy and energy-flux, respectively. In spherically symmetric spacetimes, the quasi-local energy becomes the Misner-Sharp energy. Moreover, on the event horizon of a general dynamical black hole, the quasi-local energy conservation equation coincides with the conservation equation studied by Thorne {\it et al}. We discuss the remaining quasi-local conservation equations briefly.Comment: RevTex, 8 pages, a final version to appear in Phys. Lett.