arXiv/1605.01061

Discrete AdS/CFT correspondence

Apr 27, 2016

Develop discrete analogs of the AdS/CFT correspondence inspired from number theory, and understand their deep connection with the usual continuum formulation.

AdS CFT correspondence AdS Feynman diagrams p-adics graph theory discrete math-phys

Sarthak Parikh

Assistant Professor of Physics

My research interests are in theoretical and mathematical physics, and include gauge/gravity duality (AdS/CFT correspondence), quantum field theory, conformal field theory, p-adic field theories, math-inspired discretizations of spacetime, and quantum information theory.

Publications

Holographic tensor networks from hyperbolic buildings

Elliott Gesteau, Matilde Marcolli, Sarthak Parikh

Project Project DOI arXiv

Nonarchimedean Holographic Entropy from Networks of Perfect Tensors

Matthew Heydeman, Matilde Marcolli, Sarthak Parikh, Ingmar Saberi

Project Project DOI arXiv

Propagator identities, holographic conformal blocks, and higher-point AdS diagrams

Christian Baadsgaard Jepsen, Sarthak Parikh

Project Project Project DOI arXiv

Recursion Relations in p-adic Mellin Space

Christian Baadsgaard Jepsen, Sarthak Parikh

Project Project DOI arXiv

p-adic Mellin Amplitudes

Christian Baadsgaard Jepsen, Sarthak Parikh

Project Project DOI arXiv

Geodesic bulk diagrams on the Bruhat–Tits tree

Steven Gubser, Sarthak Parikh

Project Project Project DOI arXiv

Edge length dynamics on graphs with applications to p-adic AdS/CFT

Steven Gubser, Matthew Heydeman, Christian Baadsgaard Jepsen, Matilde Marcolli, Sarthak Parikh, Ingmar Saberi, Bogdan Stoica, Brian Trundy

Project DOI arXiv

p-adic AdS/CFT

Steven Gubser, Johannes Knaute, Sarthak Parikh, Andreas Samberg, Przemek Witaszczyk

Project DOI arXiv