55 citations · 355 across the 20 of their papers we have counts for
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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…
Mixed field theory
Steven S. Gubser, Christian Jepsen, Ziming Ji +1
We consider scalar field theory defined over a direct product of the real and -adic numbers. An adjustable dynamical scaling exponent enters into the microscopic lagrangian,…
Spin in -adic AdS/CFT
Steven S. Gubser, Christian Jepsen, Brian Trundy
We study the holographic dual of the simplest notion of spin in a -adic field theory, namely Green's functions which involve non-trivial sign characters over the -adic number…
-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-…
Higher melonic theories
Steven S. Gubser, Christian Jepsen, Ziming Ji +1
We classify a large set of melonic theories with arbitrary -fold interactions, demonstrating that the interaction vertices exhibit a range of symmetries, always of the form $\ma…
Continuum limits of sparse coupling patterns
Steven S. Gubser, Christian Jepsen, Ziming Ji +1
We exhibit simple lattice systems, motivated by recently proposed cold atom experiments, whose continuum limits interpolate between real and -adic smoothness as a spectral expon…