731 research outputs found

    Supersymmetric D3/D5 for massive defects on curved space

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    We construct the holographic dual for N=4\mathcal N=4 SYM on S4\rm S^4 and AdS4\rm AdS_4 coupled to massive N=2\mathcal N=2 supersymmetric quenched flavor fields on a codimension-1 defect, which is S3\rm S^3 and AdS3\rm AdS_3, respectively. The holographic description is in terms of a D3/probe D5 brane system. We set up and reduce the BPS equations for D5-brane embeddings with arbitrary supersymmetric deformations and partly solve them at the non-linear level. The remaining equations are solved explicitly in a small-mass expansion. We compute the contribution of the defect fields to the partition function on S4^4 and compare to a field theory computation using supersymmetric localization, for which we set up the matrix model. Both computations agree, lending strong support to holographic probe brane constructions using D3/D5 configurations in general.Comment: 34 pages, 1 figur

    Supersymmetric D3/D7 for holographic flavors on curved space

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    We derive a new class of supersymmetric D3/D7 brane configurations, which allow to holographically describe N=4 SYM coupled to massive N=2 flavor degrees of freedom on spaces of constant curvature. We systematically solve the Îş\kappa-symmetry condition for D7-brane embeddings into AdS4_4-sliced AdS5Ă—_5\timesS5^5, and find supersymmetric embeddings in a simple closed form. Up to a critical mass, these embeddings come in surprisingly diverse families, and we present a first study of their (holographic) phenomenology. We carry out the holographic renormalization, compute the one-point functions and attempt a field-theoretic interpretation of the different families. To complete the catalog of supersymmetric D3/D7 configurations, we construct analogous embeddings for flavored N=4 SYM on S4^4 and dS4_4.Comment: 37 pages, 9 figure

    The Band At Little Rock Central High School Before, During, And After Integration In 1957-1958

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    The purpose of this dissertation was to investigate the history of the Little Rock Central High School band before, during, and after integration in 1957-1958. A review of related literature in the areas of civil rights, Brown v. Board of Education, integration of schools, integration of Little Rock Central High School, and integration of school music programs provided the rationale for this study. Based on the related literature, research questions for this study included: What was the history of the Central Band before, during, and after integration in 1957-1958? Who was the first African American in the Central band? When were African American students alloto participate in the extracurricular activities at Central? What factors contributed to the decline of the Central band? What factors contributed to the success of the Central band? The researcher conducted ten telephone, email, and in-person interviews and used eight published interviews in this study. Investigating the history of Central High School and the Central High School band program, as well as conducting interviews revealed the historical implications integration had on the Little Rock Central High School band program. The research presented an understanding of the events that surrounded integration and how integration affected the Little Rock Central High School band
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