55 citations · 361 across the 19 of their papers we have counts for
20 papers
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…
A multipoint conformal block chain in dimensions
Sarthak Parikh
Conformal blocks play a central role in CFTs as the basic, theory-independent building blocks. However, only limited results are available concerning multipoint blocks associated w…
Propagator identities, holographic conformal blocks, and higher-point AdS diagrams
Christian Baadsgaard Jepsen, Sarthak Parikh
Conformal blocks are the fundamental, theory-independent building blocks in any CFT, so it is important to understand their holographic representation in the context of AdS/CFT. We…
Holographic dual of the five-point conformal block
Sarthak Parikh
We present the holographic object which computes the five-point global conformal block in arbitrary dimensions for external and exchanged scalar operators. This object is interpret…
Recursion Relations in -adic Mellin Space
Christian Baadsgaard Jepsen, Sarthak Parikh
In this work, we formulate a set of rules for writing down -adic Mellin amplitudes at tree-level. The rules lead to closed-form expressions for Mellin amplitudes for arbitrary s…
Nonarchimedean Holographic Entropy from Networks of Perfect Tensors
Matthew Heydeman, Matilde Marcolli, Sarthak Parikh +1
We consider a class of holographic quantum error-correcting codes, built from perfect tensors in network configurations dual to Bruhat-Tits trees and their quotients by Schottky gr…
-adic Mellin Amplitudes
Christian Baadsgaard Jepsen, Sarthak Parikh
In this paper, we propose a -adic analog of Mellin amplitudes for scalar operators, and present the computation of the general contact amplitude as well as arbitrary-point tree-…
Signs of the time: Melonic theories over diverse number systems
Steven S. Gubser, Matthew Heydeman, Christian Jepsen +4
Melonic field theories are defined over the -adic numbers with the help of a sign character. Our construction works over the reals as well as the -adics, and it includes the…
Geodesic bulk diagrams on the Bruhat-Tits tree
Steven S. Gubser, Sarthak Parikh
Geodesic bulk diagrams were recently shown to be the geometric objects which compute global conformal blocks. We show that this duality continues to hold in -adic AdS/CFT, where…
O(N) and O(N) and O(N)
Steven S. Gubser, Christian Jepsen, Sarthak Parikh +1
Three related analyses of theory with symmetry are presented. In the first, we review the model over the -adic numbers and the discrete renormalization group…
Edge length dynamics on graphs with applications to -adic AdS/CFT
Steven S. Gubser, Matthew Heydeman, Christian Jepsen +5
We formulate a Euclidean theory of edge length dynamics based on a notion of Ricci curvature on graphs with variable edge lengths. In order to write an explicit form for the discre…
Segmented strings and the McMillan map
Steven S. Gubser, Sarthak Parikh, Przemek Witaszczyk
We present new exact solutions describing motions of closed segmented strings in in terms of elliptic functions. The existence of analytic expressions is due to the integra…
Perturbations of vortex ring pairs
Steven S. Gubser, Bart Horn, Sarthak Parikh
We study pairs of co-axial vortex rings starting from the action for a classical bosonic string in a three-form background. We complete earlier work on the phase diagram of classic…
Strings and vortex rings
Steven S. Gubser, Revant Nayar, Sarthak Parikh
We treat string propagation and interaction in the presence of a background Neveu-Schwarz three-form field strength, suitable for describing vortex rings in a superfluid or low-vis…
A manifestly MHV Lagrangian for N=4 Yang-Mills
Sudarshan Ananth, Stefano Kovacs, Sarthak Parikh
We derive a manifestly MHV Lagrangian for the N=4 supersymmetric Yang-Mills theory in light-cone superspace. This is achieved by constructing a canonical redefinition which maps th…