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4 papers · 2 filters
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…
A -adic version of AdS/CFT
Steven S. Gubser
In this summary of my talk at Strings 2016, I explain how classical dynamics on an infinite tree graph can be dual to a conformal field theory defined over the -adic numbers. An…
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…