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Geometric aspects of the holographic duality

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Abstract

We briefly survey results related to applying the AdS/CFT correspondence to N=1 supersymmetric models. These models, on one hand, are closest to realistic models of elementary particle physics and, on the other hand, are amenable to quantitative analysis using the AdS/CFT correspondence. Furthermore, they are related to such remarkable geometric objects as Sasakian manifolds and Ricci-flat cones, on which we particularly focus.

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Authors and Affiliations

  1. Steklov Mathematical Institute, RAS, Moscow, Russia

    D. V. Bykov

  2. Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Potsdam-Golm, Germany

    D. V. Bykov

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  1. D. V. Bykov
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Correspondence to D. V. Bykov.

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Dedicated to Andrei Alekseevich Slavnov in honor of his birthday

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 181, No. 3, pp. 436–448, December, 2014.

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Bykov, D.V. Geometric aspects of the holographic duality. Theor Math Phys 181, 1499–1508 (2014). https://doi.org/10.1007/s11232-014-0230-6

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  • DOI: https://doi.org/10.1007/s11232-014-0230-6

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