2,335 research outputs found

    Yangian Symmetry for Bi-Scalar Loop Amplitudes

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    We establish an all-loop conformal Yangian symmetry for the full set of planar amplitudes in the recently proposed integrable bi-scalar field theory in four dimensions. This chiral theory is a particular double scaling limit of gamma-twisted weakly coupled N=4 SYM theory. Each amplitude with a certain order of scalar particles is given by a single fishnet Feynman graph of disc topology cut out of a regular square lattice. The Yangian can be realized by the action of a product of Lax operators with a specific sequence of inhomogeneity parameters on the boundary of the disc. Based on this observation, the Yangian generators of level one for generic bi-scalar amplitudes are explicitly constructed. Finally, we comment on the relation to the dual conformal symmetry of these scattering amplitudes.Comment: 40 pages, 20 figure

    Causal Inference in Strategic Performance Measurement Systems and Its Effect on Performance Evaluations: A Laboratory Experiment

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    This study aims to test the effect of explicit representation of causal relationships in strategy map component of balanced scorecards BSC on performance evaluations outcomes. To address this aim, a 2 × 2 factorial design laboratory experiment was conducted, where the inclusion of graphical information supporting causal relationships between objectives in strategy maps, and performance outcome patterns (positive vs. negative) across performance measurement perspectives of BCSs were manipulated. The findings show that the observed performance evaluation scores are driven more significantly by the performance outcomes in the outer perspectives of BSCs (financial and learning & growth) than by inner perspectives (internal business processes and customer). It was also confirmed that the difference in performance evaluation scores between two identically structured BSCs with positive versus negative performance outcomes in the outer perspectives is relatively larger in the presence of the strategy map versus when the ordered strategic objective list is presented

    Multifactor Models and Their Consistency with the APT

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    We examine the consistency of several prominent multifactor models from the empirical asset pricing literature with the arbitrage pricing theory (APT) framework. We follow the APT-related literature and estimate the common factor structure from a rich cross-section (associated with 42 major CAPM anomalies) by employing the asymptotic principal components method. Our benchmark model contains six statistical factors and clearly dominates, in both economic and statistical terms, most of the empirical multifactor models proposed in the literature by a good margin. These results represent a critical challenge to the current workhorse models in terms of explaining large-scale equity risk premiums

    Estimating species trees using multiple-allele DNA sequence data

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    Several techniques, such as concatenation and consensus methods, are available for combining data from multiple loci to produce a single statement of phylogenetic relationships. However, when multiple alleles are sampled from individual species, it becomes more challenging to estimate relationships at the level of species, either because concatenation becomes inappropriate due to conflicts among individual gene trees, or because the species from which multiple alleles have been sampled may not form monophyletic groups in the estimated tree. We propose a Bayesian hierarchical model to reconstruct species trees from multiple-allele, multilocus sequence data, building on a recently proposed method for estimating species trees from single allele multilocus data. A two-step Markov Chain Monte Carlo (MCMC) algorithm is adopted to estimate the posterior distribution of the species tree. The model is applied to estimate the posterior distribution of species trees for two multiple-allele datasets - yeast (Saccharomyces) and birds (Manacus - manakins). The estimates of the species trees using our method are consistent with those inferred from other methods and genetic markers, but in contrast to other species tree methods, it provides credible regions for the species tree. The Bayesian approach described here provides a powerful framework for statistical testing and integration of population genetics and phylogenetics. © 2008 The Author(s)
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