Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP10(2017)140
Keywords
Conformal Field Theory; AdS-CFT Correspondence; Conformal and W Symmetry
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Funding
- Russian Science Foundation [14-42-00047]
- Foundation for the advancement of theoretical physics BASIS
- Russian Science Foundation [17-42-00002] Funding Source: Russian Science Foundation
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We study CFT2 conformal blocks on a torus and their holographic realization. The classical conformal blocks arising in the regime where conformal dimensions grow linearly with the large central charge are shown to be holographically dual to the geodesic networks stretched in the thermal AdS bulk space. We discuss the n-point conformal blocks and their duals, the 2-point case is elaborated in full detail. We develop various techniques to calculate both quantum and classical conformal block functions. In particular, we show that exponentiated global torus blocks reproduce classical torus blocks in the specific perturbative regimes of the conformal parameter space.
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