3,220 research outputs found

    Solving M-theory with the Conformal Bootstrap

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    We use the conformal bootstrap to perform a precision study of 3d maximally supersymmetric (N=8\mathcal{N}=8) SCFTs that describe the IR physics on NN coincident M2-branes placed either in flat space or at a \C^4/\Z_2 singularity. First, using the explicit Lagrangians of ABJ(M) \cite{Aharony:2008ug,Aharony:2008gk} and recent supersymmetric localization results, we calculate certain half and quarter-BPS OPE coefficients, both exactly at small NN, and approximately in a large NN expansion that we perform to all orders in 1/N1/N. Comparing these values with the numerical bootstrap bounds leads us to conjecture that some of these theories obey an OPE coefficient minimization principle. We then use this conjecture as well as the extremal functional method to reconstruct the first few low-lying scaling dimensions and OPE coefficients for both protected and unprotected multiplets that appear in the OPE of two stress tensor multiplets for all values of NN. We also calculate the half and quarter-BPS operator OPE coefficients in the SU(2)k×SU(2)−kSU(2)_k \times SU(2)_{-k} BLG theory for all values of the Chern-Simons coupling kk, and show that generically they do not obey the same OPE coefficient minimization principle.Comment: 30 pages, 5 figures, v2 submitted for publicatio

    A New Duality Between N=8\mathcal{N}=8 Superconformal Field Theories in Three Dimensions

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    We propose a new duality between two 3d N=8\mathcal{N}=8 superconformal Chern-Simons-matter theories: the U(3)1×U(3)−1U(3)_1 \times U(3)_{-1} ABJM theory and a theory consisting of the product between the (SU(2)3×SU(2)−3)/Z2\left(SU(2)_3\times SU(2)_{-3}\right)/\mathbb{Z}_2 BLG theory and a free N=8{\cal N} = 8 theory of eight real scalars and eight Majorana fermions. As evidence supporting this duality, we show that the moduli spaces, superconformal indices, S3S^3 partition functions, and certain OPE coefficients of BPS operators in the two theories agree.Comment: 29 pages, 2 figure

    The supervisory implications of financial globalization: three views

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    At the 1989 Lake Bluff conference on globalization, three authorities presented their personal—and conflicting—views on international financial regulation in general, and the 1988 BIS-sponsored Basle agreement, in particular.International finance ; Bank capital

    A Parameterized Simulation of Doppler Lidar

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    Upcoming missions to explore planetary bodies in the solar system will require accurate position and velocity data during descent in order to land safely at a predesignated site. A Doppler lidar instrument could provide measurements of the altitude, attitude, and velocity of the landing vehicle to supplement the data collected by other instruments. A flexible simulation tool would aid the tasks of designing and testing the functionality of such an instrument. LadarSIM is a robust parameterized simulation tool developed for time of flight lidar at Utah State University\u27s Center for Advanced Imaging Ladar. This thesis outlines how LadarSIM was modified to include a simulation of Doppler lidar. A study is performed using LadarSIM to determine the effects of varying certain parameters of a Doppler lidar system. Point clouds of landing scenarios generated by the simulation with different scanning patterns are shown

    Farm Wages = Cash+

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    Wages on the farm differ decidedly from wages in the city. Part of this difference applies to the method of payment. It is expressed in the word perquisite
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