Bootstrapping theories with $O(m)\times O(n)$ global symmetry in three dimensions

Abstract: I will discuss recent work performed with Johan Henriksson and Andreas Stergiou studying O(m)xO(n) conformal field theories in three dimensions. Motivated by phase transitions in three-dimensional systems, as well as open theoretical questions, we will focus on the $O(2)\times O(n)$ case. We study different values of $n$, for $n$ sufficiently large we find excellent agreement with large $n$ predictions for scaling dimensions of operators. For $n=3$ we find closed isolated regions (islands) in parameter space that do not correspond to the ordinary fixed points of the $d=4-e$ expansion, we attribute these regions of parameter space to fixed points conjectured to arise due to resummations of perturbative beta functions.

statistical mechanicsHEP - theorymathematical physics

Audience: researchers in the topic

CCTP HEP Seminars

Series comments: Description: Seminars in high energy physics

Weekly HEP Seminars in the broad spectrum of High Energy Physics at University of Crete.

Recordings of past seminars can be found at conference.physics.uoc.gr/b/hep-kzk-2ad