543,549 research outputs found

    On (multi-)center branes and exact string vacua

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    Multicenter supergravity solutions corresponding to Higgs phases of supersymmetric Yang-Mills theories are considered. For NS5 branes we identify three cases where there is a description in terms of exact conformal field theories. Other supergravity solutions, such as D3-branes with angular momentum, are understood as special limits of multicenter ones. Within our context we also consider 4-dim gravitational multi-instantons.Comment: 9 pages, latex; To be published in the proceedings of the Quantum Aspects of Gauge Theories, Supersymmetry and Unification, Corfu, Greece, 20-26 September 199

    How does aromaticity rule the thermodynamic stability of hydroporphyrins?

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    Several measures of aromaticity including energetic, magnetic, and electron density criteria are employed to show how aromatic stabilization can explain the stability sequence of hydroporphyrins, ranging from porphin to octahydroporphin, and their preferred hydrogenation paths. The methods employed involve topological resonance energies and their circuit energy effects, bond resonance energies, multicenter delocalization indices, ring current maps, magnetic susceptibilities, and nuclear-independent chemical shifts. To compare the information obtained by the different methods, the results have been put in the same scale by using recently proposed approaches. It is found that all of them provide essentially the same information and lead to similar conclusions. Also, hydrogenation energies along different hydrogenation paths connecting porphin with octahydroporphin have been calculated with density functional theory. It is shown by using the methods mentioned above that the relative stability of different hydroporphyrin isomers and the observed inaccessibility of octahydroporphin both synthetically and in nature can be perfectly rationalized in terms of aromaticity

    Branes for Higgs phases and exact conformal field theories

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    We consider multicenter supergravity solutions corresponding to Higgs phases of supersymmetric Yang-Mills theories with Z_N symmetric vacua. In certain energy regimes, we find a description in terms of a generalized wormhole solution that corresponds to the SL(2,R)/U(1) \times SU(2)/U(1) exact conformal field theory. We show that U-dualities map these backgrounds to purely gravitational ones and comment on the relation to the black holes arising from intersecting D1 and D5 branes. We also discuss supersymmetric properties of the various solutions and the relation to 2-dim solitons, on flat space, of the reduced axion-dilaton-gravity equations. Finally, we address the problem of understanding other supergravity solutions from the multicenter ones. As prototype examples we use rotating D3 branes and NS5 and D5 branes associated to non-Abelian duals of 4-dim hyper-Kahler metrics with SO(3) isometry.Comment: 14 pages, latex; v2: a few typos corrected and a reference added. Version to appear in JHE

    The Spherical Tensor Gradient Operator

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    The spherical tensor gradient operator Ym(){\mathcal{Y}}_{\ell}^{m} (\nabla), which is obtained by replacing the Cartesian components of r\bm{r} by the Cartesian components of \nabla in the regular solid harmonic Ym(r){\mathcal{Y}}_{\ell}^{m} (\bm{r}), is an irreducible spherical tensor of rank \ell. Accordingly, its application to a scalar function produces an irreducible spherical tensor of rank \ell. Thus, it is in principle sufficient to consider only multicenter integrals of scalar functions: Higher angular momentum states can be generated by differentiation with respect to the nuclear coordinates. Many of the properties of Ym(){\mathcal{Y}}_{\ell}^{m} (\nabla) can be understood easily with the help of an old theorem on differentiation by Hobson [Proc. London Math. Soc. {\bf 24}, 54 - 67 (1892)]. It follows from Hobson's theorem that some scalar functions of considerable relevance as for example the Coulomb potential, Gaussian functions, or reduced Bessel functions produce particularly compact results if Ym(){\mathcal{Y}}_{\ell}^{m} (\nabla) is applied to them. Fourier transformation is very helpful to understand the properties of Ym(){\mathcal{Y}}_{\ell}^{m} (\nabla) since it produces Ym(ip){\mathcal{Y}}_{\ell}^{m} (-\mathrm{i} \bm{p}). It is also possible to apply Ym(){\mathcal{Y}}_{\ell}^{m} (\nabla) to generalized functions, yielding for instance the spherical delta function δm(r)\delta_{\ell}^{m} (\bm{r}). The differential operator Ym(){\mathcal{Y}}_{\ell}^{m} (\nabla) can also be used for the derivation of pointwise convergent addition theorems. The feasibility of this approach is demonstrated by deriving the addition theorem of rνYm(r)r^{\nu} {\mathcal{Y}_{\ell}^{m}} (\bm{r}) with νR\nu \in \mathbb{R}.Comment: 55 pages, LaTeX2e, 0 figure

    Exploring Meaningful Patient Engagement in ADAPTABLE (Aspirin Dosing: A Patient-centric Trial Assessing Benefits and Long-term Effectiveness).

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    BackgroundGenuine patient engagement can improve research relevance, impact and is required for studies using the National Patient-Centered Clinical Research Network including major multicenter research projects. It is unclear, however, how best to integrate patients into governance of such projects.MethodsADAPTABLE (Aspirin Dosing: A Patient-centric Trial Assessing Benefits and Long-term Effectiveness) is the first major multicenter research project to be conducted in National Patient-Centered Clinical Research Network. Here, we provide a description of how we implemented patient engagement in ADAPTABLE thus far, including a description of committee structures and composition, first-hand patient testimonials, specific contributions, and lessons learned during the planning and early implementation of ADAPTABLE.ResultsWe recruited 1 patient leader from 6 of the 7 enrolling networks to serve on a Patient Review Board for ADAPTABLE, supported the Board with an experienced patient engagement team including an "investigator-advocate" not otherwise involved in the trial, and facilitated bidirectional communication between the Board and ADAPTABLE Coordinating Center. The Board has reviewed and provided substantial input on the informed consent procedure, recruitment materials, patient portal design, and study policy including compensation of participants. Although it was "too late" for some suggested modifications, most modifications suggested by the patient leaders have been implemented, and they are enthusiastic about the study and their role. The patient leaders also attend Steering and Executive Committee calls; these experiences have been somewhat less productive.ConclusionsWith adequate support, a cadre of committed patient leaders can provide substantial value to design and implementation of a major multicenter clinical trial

    The XIIIth Banff Conference on Allograft Pathology: The Banff 2015 Heart Meeting Report: Improving Antibody-Mediated Rejection Diagnostics: Strengths, Unmet Needs, and Future Directions.

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    The 13th Banff Conference on Allograft Pathology was held in Vancouver, British Columbia, Canada from October 5 to 10, 2015. The cardiac session was devoted to current diagnostic issues in heart transplantation with a focus on antibody-mediated rejection (AMR) and small vessel arteriopathy. Specific topics included the strengths and limitations of the current rejection grading system, the central role of microvascular injury in AMR and approaches to semiquantitative assessment of histopathologic and immunophenotypic indicators, the role of AMR in the development of cardiac allograft vasculopathy, the important role of serologic antibody detection in the management of transplant recipients, and the potential application of new molecular approaches to the elucidation of the pathophysiology of AMR and potential for improving the current diagnostic system. Herein we summarize the key points from the presentations, the comprehensive, open and wide-ranging multidisciplinary discussion that was generated, and considerations for future endeavors

    Extremal Multicenter Black Holes: Nilpotent Orbits and Tits Satake Universality Classes

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    Four dimensional supergravity theories whose scalar manifold is a symmetric coset manifold U[D=4]/Hc are arranged into a finite list of Tits Satake universality classes. Stationary solutions of these theories, spherically symmetric or not, are identified with those of an euclidian three-dimensional sigma-model, whose target manifold is a Lorentzian coset U[D=3]/H* and the extremal ones are associated with H* nilpotent orbits in the K* representation emerging from the orthogonal decomposition of the algebra U[D=3] with respect to H*. It is shown that the classification of such orbits can always be reduced to the Tits-Satake projection and it is a class property of the Tits Satake universality classes. The construction procedure of Bossard et al of extremal multicenter solutions by means of a triangular hierarchy of integrable equations is completed and converted into a closed algorithm by means of a general formula that provides the transition from the symmetric to the solvable gauge. The question of the relation between H* orbits and charge orbits W of the corresponding black holes is addressed and also reduced to the corresponding question within the Tits Satake projection. It is conjectured that on the vanishing locus of the Taub-NUT current the relation between H*-orbit and W-orbit is rigid and one-to-one. All black holes emerging from multicenter solutions associated with a given H* orbit have the same W-type. For the S^3 model we provide a complete survey of its multicenter solutions associated with all of the previously classified nilpotent orbits of sl(2) x sl(2) within g[2,2]. We find a new intrinsic classification of the W-orbits of this model that might provide a paradigm for the analogous classification in all the other Tits Satake universality classes.Comment: 83 pages, LaTeX; v2: few misprints corrected and references adde
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