A monodromy defect in the 3d Ising model.



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PIRSA Number: 
13010106

Abstract

A conformal defect is
a d-dimensional geometrical object that breaks the SO(D+1,1) symmetry, of a D-dimensional conformal field theory, down to those transformations that leave the defect invariant i.e. SO(D-d) X SO(d+1,1).

We studied the 3D critical Ising model in presence of a special kind of these defects, a monodromy line defect.

In particular we computed, using Montecarlo simulations, the anomalous dimensions of the lowest dimensional operators living at the defect, as well as correlation functions of operators in the bulk with operators at the defect.

We found a good agreement between our results and the expectations of conformal field theory.