Abstract
We study the addition of quantum fermionic impurities to the \( \mathcal{N} \) = 6 super-symmetric 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 × \( \mathbb{C}\mathbb{P} \) 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.
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ArXiv ePrint: 1112.4669
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Benincasa, P., Ramallo, A.V. Fermionic impurities in Chern-Simons-matter theories. J. High Energ. Phys. 2012, 76 (2012). https://doi.org/10.1007/JHEP02(2012)076
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DOI: https://doi.org/10.1007/JHEP02(2012)076