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.

31 pages plus appendices; v2: references added

References in corpus (9)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Algebraic structures on parallel M2-branes
• Holographic Wilson Loops
• Wilson Loops of Anti-symmetric Representation and D5-branes
• On gravitational description of Wilson lines
• The Spectrum of Excitations of Holographic Wilson Loops
• Dynamics of Flux Tubes in Large N Gauge Theories
• Adventures in Holographic Dimer Models
• Brane embeddings in sphere submanifolds

Cited by in corpus (15)

• Vortices and Impurities
• One-loop Effective Action of the Holographic Antisymmetric Wilson Loop
• A Holographic Model of the Kondo Effect
• A complexity/fidelity susceptibility g-theorem for AdS${}_3$/BCFT${}_2$
• Entanglement Entropy in a Holographic Kondo Model
• Holographic impurities and Kondo effect
• Holographic Kondo Model in Various Dimensions
• Vortex Lattices and Crystalline Geometries
• Supersymmetric Defect Models and Mirror Symmetry
• Impurity-like solutions in vortex systems coupled to a neutral field
• Spectra of Certain Holographic ABJM Wilson Loops in Higher Rank Representations
• Impurity-doped stable domain walls in spherically symmetric spacetimes
• Fermionic impurities in the unquenched ABJM
• Abelian Chern-Simons vortices in the presence of magnetic impurities
• Holographic mean field theory and Kondo lattice