1,401 research outputs found

    The Elliptic curves in gauge theory, string theory, and cohomology

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    Elliptic curves play a natural and important role in elliptic cohomology. In earlier work with I. Kriz, thes elliptic curves were interpreted physically in two ways: as corresponding to the intersection of M2 and M5 in the context of (the reduction of M-theory to) type IIA and as the elliptic fiber leading to F-theory for type IIB. In this paper we elaborate on the physical setting for various generalized cohomology theories, including elliptic cohomology, and we note that the above two seemingly unrelated descriptions can be unified using Sen's picture of the orientifold limit of F-theory compactification on K3, which unifies the Seiberg-Witten curve with the F-theory curve, and through which we naturally explain the constancy of the modulus that emerges from elliptic cohomology. This also clarifies the orbifolding performed in the previous work and justifies the appearance of the w_4 condition in the elliptic refinement of the mod 2 part of the partition function. We comment on the cohomology theory needed for the case when the modular parameter varies in the base of the elliptic fibration.Comment: 23 pages, typos corrected, minor clarification

    Art and...

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    Almost anything goes in this time of contemporary artistic production as long as an artist can ‘back’ their ideas and the position they operate from. This expanding territory of production and engagement is an exciting potential for working artists, providing freedom to self-determine ones modus operandi within an expanding support system to engage the world with. While this is an exciting growth it is also potentially dangerous. The un-named and historically ambiguous position that Art1 operates from has created a rootless position to the production of culture. This rootlessness or, universal position has historically established itself as the gatekeeper and continues to unconsciously perpetuate a hierarchical aesthetic ordering of culture. In this cycle of non-acknowledgment of itself, it continues to estrange forms of creative labor -and therefor communities of people- and maintain segregated cultural spaces rendering it unable to effectively relate to historically othered forms of American art and cultural production. This has created a need to clarify the origins and values of Art as we know it. This is an open attempt to do some clarifying, in writing and in the work of my practice. My practice is inspired by the places I physically inhabit and my relationship with the: people, history, intangible connections and material aspects that create the conditions as they are through the filter of my White-Female-Midwestern-American experience. My practice takes up the everydayness of art and culture and its connective and transformative capacity for mutually building self awareness and relationships with others in a place; while also using Art to disrupt established unconscious values in the institution and in the personal

    Duality symmetry and the form fields of M-theory

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    In previous work we derived the topological terms in the M-theory action in terms of certain characters that we defined. In this paper, we propose the extention of these characters to include the dual fields. The unified treatment of the M-theory four-form field strength and its dual leads to several observations. In particular we elaborate on the possibility of a twisted cohomology theory with a twist given by degrees greater than three.Comment: 12 pages, modified material on the differentia

    Numerical Simulation and Visualization Models of Stress Wave Propagation Graphite/Epoxy Composites

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    Within the last ten years there has been a renewed interest in simulation of stress wave propagation because of the availability of fast supercomputers with large memory capabilities [1,2,3]. Only recently have a few investigators [4,5] applied these simulations to problems where elastic anisotropy was included as a major factor. The massive output of results from these simulations, together with the added complexity of coupled phenomena that uniquely exist for a given anisotropy, defies intuition. To grasp the significance of these simulations requires scientific visualization [6] of these complex physical phenomena. Such visualizations often require a movie format to better understand the physics of particular problems [7]. In this study we simulated the experimental measurement of a shift in the quasi-transverse bulk wave propagation in an off-axis unidirectional graphite/epoxy composite in plane strain [8]. The purpose of the simulation was to aid the nondestructive evaluation engineer in designing an acoustic array to improve the measurement of the shift in the QT wave propagation direction [9]. Previously a finite element model [5] was used to simulate this measurement. In this study we demonstrate the advantages of using a finite difference model to simulate this experiment and, with special visual aids, observe the physics

    M-theory and Characteristic Classes

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    In this note we show that the Chern-Simons and the one-loop terms in the M-theory action can be written in terms of new characters involving the M-theory four-form and the string classes. This sheds a new light on the topological structure behind M-theory and suggests the construction of a theory of `higher' characteristic classes.Comment: 8 pages. Error in gravitational term fixed; minor corrections; reference and acknowledgement adde

    Getting to know Pepper : Effects of people’s awareness of a robot’s capabilities on their trust in the robot

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    © 2018 Association for Computing MachineryThis work investigates how human awareness about a social robot’s capabilities is related to trusting this robot to handle different tasks. We present a user study that relates knowledge on different quality levels to participant’s ratings of trust. Secondary school pupils were asked to rate their trust in the robot after three types of exposures: a video demonstration, a live interaction, and a programming task. The study revealed that the pupils’ trust is positively affected across different domains after each session, indicating that human users trust a robot more the more awareness about the robot they have

    Target specificity of the CRISPR-Cas9 system

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    The CRISPR-Cas9 system, naturally a defense mechanism in prokaryotes, has been repurposed as an RNA-guided DNA targeting platform. It has been widely used for genome editing and transcriptome modulation, and has shown great promise in correcting mutations in human genetic diseases. Off-target effects are a critical issue for all of these applications. Here we review the current status on the target specificity of the CRISPR-Cas9 system.National Institutes of Health (U.S.) (United States Public Health Service Grant RO1-GM34277)National Institutes of Health (U.S.) (United States Public Health Service Grant R01-CA133404)National Cancer Institute (U.S.) (Grant PO1-CA42063)National Cancer Institute (U.S.) (Koch Institute Support (Core) Grant P30-CA14051

    Equivariant Formal Group Laws

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    Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135640/1/plms0355.pd
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