Three-Point Functions in N=2 Higher-Spin Holography

The CP^N Kazama-Suzuki models with the non-linear chiral algebra SW_infinity[lambda] have been conjectured to be dual to the fully supersymmetric Prokushkin-Vasiliev theory of higher-spin gauge fields coupled to two massive N=2 multiplets on AdS_3. We perform a non-trivial check of this duality by computing three-point functions containing one higher-spin gauge field for arbitrary spin s and deformation parameter lambda from the bulk theory, and from the boundary using a free ghost system based on the linear sw_infinity[lambda] algebra. We find an exact match between the two computations. In the 't Hooft limit, the three-point functions only depend on the wedge subalgebra shs[lambda] and the results are equivalent for any theory with such a subalgebra. In the process we also find the emergence of N=2 superconformal symmetry near the AdS_3 boundary by computing holographic OPE's, consistently with a recent analysis of asymptotic symmetries of higher-spin supergravity.Comment: 40 pages; This work is based on the first author's MSc thesis, submitted to the Niels Bohr Institute, University of Copenhagen, in November 2012. v2: References added. v3: Minor typos fixe

Universal Topological Data for Gapped Quantum Liquids in Three Dimensions and Fusion Algebra for Non-Abelian String Excitations

Recently we conjectured that a certain set of universal topological quantities characterize topological order in any dimension. Those quantities can be extracted from the universal overlap of the ground state wave functions. For systems with gapped boundaries, these quantities are representations of the mapping class group $MCG(\mathcal M)$ of the space manifold $\mathcal M$ on which the systems lives. We will here consider simple examples in three dimensions and give physical interpretation of these quantities, related to fusion algebra and statistics of particle and string excitations. In particular, we will consider dimensional reduction from 3+1D to 2+1D, and show how the induced 2+1D topological data contains information on the fusion and the braiding of non-Abelian string excitations in 3D. These universal quantities generalize the well-known modular $S$ and $T$ matrices to any dimension

Universal Wave Function Overlap and Universal Topological Data from Generic Gapped Ground States

We propose a way -- universal wave function overlap -- to extract universal topological data from generic ground states of gapped systems in any dimensions. Those extracted topological data should fully characterize the topological orders with gapped or gapless boundary. For non-chiral topological orders in 2+1D, this universal topological data consist of two matrices, $S$ and $T$, which generate a projective representation of $SL(2,\mathbb Z)$ on the degenerate ground state Hilbert space on a torus. For topological orders with gapped boundary in higher dimensions, this data constitutes a projective representation of the mapping class group $MCG(M^d)$ of closed spatial manifold $M^d$. For a set of simple models and perturbations in two dimensions, we show that these quantities are protected to all orders in perturbation theory

Modular Matrices as Topological Order Parameter by Gauge Symmetry Preserved Tensor Renormalization Approach

Topological order has been proposed to go beyond Landau symmetry breaking theory for more than twenty years. But it is still a challenging problem to generally detect it in a generic many-body state. In this paper, we will introduce a systematic numerical method based on tensor network to calculate modular matrices in 2D systems, which can fully identify topological order with gapped edge. Moreover, it is shown numerically that modular matrices, including S and T matrices, are robust characterization to describe phase transitions between topologically ordered states and trivial states, which can work as topological order parameters. This method only requires local information of one ground state in the form of a tensor network, and directly provides the universal data (S and T matrices), without any non-universal contributions. Furthermore it is generalizable to higher dimensions. Unlike calculating topological entanglement entropy by extrapolating, which numerical complexity is exponentially high, this method extracts a much more complete set of topological data (modular matrices) with much lower numerical cost.Comment: 5+3 pages; 4+2 figures; One more appendix is adde

Classic Papers in Critical Care: A Bibliometric Analysis

Purpose- This study aimed to identify and analyze the bibliometric characteristics of the classic papers in the field of critical care. Design/methodology/approach- In this bibliometric overview, Google Scholar, Scopus and Web of Science were used for data collection. Study sample consisted of the classic papers in the field of critical care, introduced in Google scholar. SPSS were used for data analyses. Findings- Critical Care ranked the first journal in having critical care classic papers. All critical care classic papers were multi-authored. The most highly-cited paper was a paper titled Intensive insulin therapy in the medical ICU , with 3796 received citations in Google Scholar. The United States was the top contributing country. There was a significantly positive correlation between the citations of critical care classic papers in Google Scholar, Scopus, and Web of Science (r= .988, p\u3c.001). Practical implications- The bibliometric overview of critical care classic papers can be beneficial to the researchers and specialists in the field as well as to the editorial teams of its related journals. Bibliometricians and library and information specialist can use the findings of the study. Originality/value- This study is the first to analyze the classic papers in critical care field from a bibliometric perspective