Utilizing nonperturbative methods to study CFTs and the AdS/CFT correspondence
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In this thesis we explore CFTs and related nonperturbative phenomena through several various techniques. First we construct a novel way to latticize AdS via the triangle group. We characterize aspects of this tessellation in 2d as well extend the construction to 3d, where we find a bulk critical point for scalar 𝜙⁴ theory. We then study 2d minimal model CFTs in a bulk AdS₂ through powerful boundary CFT and JT/Schwarzian techniques. Finally, we use an algebraic formulation of a conformal interface separating two minimal models -- a RG brane -- to compute correlators in the presence of the brane to better understand the relation between different minimal model CFT theories.
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Attribution 4.0 International