|
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
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.
Received: 24.06.2014
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
Linking options:
https://www.mathnet.ru/eng/tmf8746https://doi.org/10.4213/tmf8746 https://www.mathnet.ru/eng/tmf/v181/i3/p436
|
Statistics & downloads: |
Abstract page: | 475 | Full-text PDF : | 245 | References: | 46 | First page: | 20 |
|