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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 181, Number 3, Pages 436–448
DOI: https://doi.org/10.4213/tmf8746 (Mi tmf8746) 		 
Geometric aspects of the holographic duality

D. V. Bykovab

a Steklov Mathematical Institute, RAS, Moscow, Russia
b Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Potsdam-Golm, Germany
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DOI: https://doi.org/10.4213/tmf8746
Abstract: We briefly survey results related to applying the AdS/CFT correspondence to $\mathcal{N}=1$ 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.
Keywords: AdS/CFT correspondence, supersymmetry, Sasakian manifold, del Pezzo surface.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00695_a
13-01-12405 офи_м
Ministry of Education and Science of the Russian Federation MK-2510.2014.1
Received: 24.06.2014
English version:
Theoretical and Mathematical Physics, 2014, Volume 181, Issue 3, Pages 1499–1508
DOI: https://doi.org/10.1007/s11232-014-0230-6
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. V. Bykov, “Geometric aspects of the holographic duality”, TMF, 181:3 (2014), 436–448; Theoret. and Math. Phys., 181:3 (2014), 1499–1508
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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