Higher Spin de Sitter Holography from Functional Determinants

We discuss further aspects of the higher spin dS/CFT correspondence. Using a recent result of Dunne and Kirsten, it is shown how to numerically compute the partition function of the free Sp(N) model for a large class of SO(3) preserving deformations of the flat/round metric on R^3/S^3 and the source of the spin-zero single-trace operator dual to the bulk scalar. We interpret this partition function as a Hartle-Hawking wavefunctional. It has a local maximum about the pure de Sitter vacuum. Restricting to SO(3) preserving deformations, other local maxima (which exceed the one near the de Sitter vacuum) can peak at inhomogeneous and anisotropic values of the late time metric and scalar profile. Numerical experiments suggest the remarkable observation that, upon fixing a certain average of the bulk scalar profile at I^+, the wavefunction becomes normalizable in all the other (infinite) directions of the deformation. We elucidate the meaning of double trace deformations in the context of dS/CFT as a change of basis and as a convolution. Finally, we discuss possible extensions of higher spin de Sitter holography by coupling the free theory to a Chern-Simons term.Comment: 30 pages plus appendices; v2 references adde

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The synthesis and analysis of KAu(CN)4.3/2 H2O and its proposed separation from KAu(CN)2.2H2O

The increasing use of radioactive tracers in chemistry has lead to many investigations of the rate of exchange between two different oxidation states of a single element in solution. These studies lead to a more basic understanding of the structure of certain ions and their chemical reactions. Other methods of identification open for investigation include polarography and the use of conductance measurements, since the equivalence conductances differ significantly

Thinking for oneself

A stenographic report of an address delivered at the twenty-fourth commencement convocation of the Rice Institute by George E. Vincent, Ph.D., LL.D., President of the Rockefeller Foundation, retired

Oh! Promise Me : That You\u27ll Come Back To Alabam

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Influential Article Review - Disseminating Innovation and Technology Knowledge On Social Networks

This paper examines innovation. We present insights from a highly influential paper. Here are the highlights from this paper Peer effects in innovation adoption decisions have been extensively studied. However, the underlying mechanisms of peer effects are generally not explicitly accounted for. Gaps in this knowledge could lead to misestimation of peer effects and inefficient interventions. This study examined the role of two mechanisms—sharing experiences (namely, experience effect) and externalities—in the adoption of an agricultural innovation. By referring to the diffusion process of a new crop in Chinese villages, we developed a simulation model that incorporated experience effect and externality effect on a multiplex network. The model allowed us to estimate the influence of each specific effect and to investigate the interplay of the positive and negative directions of the effects. The main results of simulation experiments were the following: (1) a negative externality effect in the system caused the diffusion of innovation to vary around a middle-level rate, which resulted in a fluctuating diffusion curve rather than a commonly found S-shaped one; (2) in the case of full diffusion, experience effect significantly shaped the diffusion process at the early stage, while externality effect mattered more at the late stage; and (3) network properties (i.e. connectivity, transitivity, and network distance) imposed indirect influence on diffusion through specific peer effects. Overall, our study illustrated the need to understand specific causal mechanisms when studying peer effects. Simulation methods such as agent-based modelling provide an effective approach to facilitate such understanding. For our overseas readers, we then present the insights from this paper in Spanish, French, Portuguese, and German