TH String Theory Seminar

p-adic AdS/CFT

by Steven Gubser (Princeton)

Europe/Zurich
4-3-006 - TH Conference Room (CERN)

4-3-006 - TH Conference Room

CERN

100
Show room on map
Description

I will give a first-principles introduction to p-adic numbers and p-adic AdS/CFT.  p-adic numbers are an alternative to the real numbers, and they have a hierarchical structure which lends itself naturally to a holographic construction.  The bulk dual to a p-adic boundary is the so-called Bruhat-Tits tree, an infinite regular graph.  A bulk-boundary correspondence can be set up starting from a classical action in the bulk, and correlation functions exhibit properties surprisingly similar to the ones derived in standard AdS/CFT.  A version of gravitational dynamics can be defined on the tree in terms of a graph-theoretic Ricci tensor.  The result is a non-linear theory of massless edge length fluctuations dual to an operator with some features in common with the stress tensor.

Your browser is out of date!

Update your browser to view this website correctly. Update my browser now

×