Sarthak Parikh
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AdS CFT correspondence
Geodesic bulk diagrams on the Bruhat–Tits tree
Edge length dynamics on graphs with applications to p-adic AdS/CFT
p-adic AdS/CFT
AdS Feynman diagrammatics
Develop efficient tools and compute higher-point and higher-loop Feynman diagrams in anti-de Sitter space.
Conformal blocks
Find explicit expressions for and study properties of conformal blocks, which are the building blocks of local correlation functions in CFTs.
Discrete AdS/CFT correspondence
Develop discrete analogs of the AdS/CFT correspondence inspired from number theory, and understand their deep connection with the usual continuum formulation.
Quantum error-correction and holography
Explore the deep connections between quantum error-correcting codes and gravity in the framework of the AdS/CFT correspondence.
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