[math-ias] Reminder: TODAY HET Seminar at Princeton - Steve Gubser - 1:45 PM

[Lisa Fleischer]

High Energy Theory Seminar

Date/Time: Friday, December 2, 1:45 pm

Location: PCTS Seminar Room, Jadwin Hall 4^th Floor

Speaker: Steve Gubser, Princeton University

Title: “p-adic AdS/CFT"

Abstract: 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.  The 
ultrametricity of the p-adic numbers implies some simplifications of 
both the four-point function and the operator product algebra.  I will 
also review a few results in p-adic field theory, both perturbative and 
non-perturbative.


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