In this talk, based on work with S. Gubser, Z. Ji, B. Trundy, and A. Yarom, I present a scalar theory described by an action given in terms of a bi-local integral of a power law factor, with an exponent parameter s, multiplied by the squared arc length between points on the target manifold. Depending on the choice of s and of dimension, the theory can reduce to the usual sigma model, higher derivative versions thereof, or to a non-local theory with potential applications to the dynamics of M2-branes. I will also discuss the renormalization of the theory at one-loop level.
High Energy Theory - The non-local non-linear sigma model - Christian Jepsen - Princeton
Fri, Sep 20, 2019, 1:45 pm
PCTS - Jadwin Hall
Open to public