53 citations · 108 across the 6 of their papers we have counts for
16 papers · 1 filter
Toward Holography on Biregular Trees
Arkapal Mondal, Sarthak Parikh, Pulak Pradhan +1
We study scalar field theory on biregular trees, as a new model for discrete holography. Biregular trees are discrete symmetric spaces associated with the bulk isometry group SU(3)…
One- and two-dimensional higher-point conformal blocks as free-particle wavefunctions in AdS
Jean-François Fortin, Wen-Jie Ma, Sarthak Parikh +2
We establish that all of the one- and two-dimensional global conformal blocks are, up to some choice of prefactor, free-particle wavefunctions in tensor products of AdS or limi…
Feynman Rules for Scalar Conformal Blocks
Jean-François Fortin, Sarah Hoback, Wen-Jie Ma +2
We complete the proof of "Feynman rules" for constructing -point conformal blocks with external and internal scalars in any topology for arbitrary in any spacetime dimension…
Holographic tensor networks from hyperbolic buildings
Elliott Gesteau, Matilde Marcolli, Sarthak Parikh
We introduce a unifying framework for the construction of holographic tensor networks, based on the theory of hyperbolic buildings. The underlying dualities relate a bulk space to…
Dimensional reduction of higher-point conformal blocks
Sarah Hoback, Sarthak Parikh
Recently, with the help of Parisi-Sourlas supersymmetry an intriguing relation was found expressing the four-point scalar conformal block of a (d-2)-dimensional CFT in terms of a f…
Towards Feynman rules for conformal blocks
Sarah Hoback, Sarthak Parikh
We conjecture a simple set of "Feynman rules" for constructing -point global conformal blocks in any channel in spacetime dimensions, for external and exchanged scalar opera…