Fermionic impurities in Chern-Simons-matter theories
Abstract
We study the addition of quantum fermionic impurities to the N=6 supersymmetric Chern-Simons-matter theories in 2+1 spacetime dimensions. The impurities are introduced by means of Wilson loops in the antisymmetric representation of the gauge group. In a holographic setup, the system is represented by considering D6-branes probing the AdS_4 x CP^3 background of type IIA supergravity. We study the thermodynamic properties of the system and show how a Kondo lattice model with holographic dimers can be constructed. By computing the Kaluza-Klein fluctuation modes of the probe brane we determine the complete spectrum of dimensions of the impurity operators. A very rich structure is found, depending both on the Kaluza-Klein quantum numbers and on the filling fraction of the impurities.
Cite
@article{arxiv.1112.4669,
title = {Fermionic impurities in Chern-Simons-matter theories},
author = {Paolo Benincasa and Alfonso V. Ramallo},
journal= {arXiv preprint arXiv:1112.4669},
year = {2015}
}
Comments
31 pages plus appendices; v2: references added