Holographic Fermionic Fixed Points in d=3

Abstract

We present a top-down string theory holographic model of strongly interacting relativistic 2+1-dimensional fermions, paying careful attention to the discrete symmetries of parity and time reversal invariance. Our construction is based on probe $D7$-branes in $Ad{S}_5\times S^5$, stabilized by internal fluxes. We find three solutions, a parity and time reversal invariant conformal field theory which can be viewed as a particular deformation of Coulomb interacting graphene, a parity and time reversal violating but gapless field theory and a system with a parity and time reversal violating charge gap. We show that the Chern-Simons-like electric response function, which is generated perturbatively at one-loop order by parity violating fermions and which is protected by a no-renormalization theorem at orders beyond one loop, indeed appears with the correctly quantized coefficient in the charge gapped theory. In the gapless parity violating solution, the Chern-Simons response function obtains quantum corrections which we compute in the holographic theory.

25 pages, six figures

References in corpus (9)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Non-Abelian Anyons and Topological Quantum Computation
• Topological Insulators with Inversion Symmetry
• Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
• Simulation and detection of Dirac fermions with cold atoms in an optical lattice
• Gravity Dual of a Quantum Hall Plateau Transition
• Transport Properties of Holographic Defects
• Renormalization group approach to 2D Coulomb interacting Dirac fermions with random gauge potential
• Conformal Phase Transitions at Weak and Strong Coupling

Cited by in corpus (21)

• A model of a Fermi liquid using gauge-gravity duality
• Magnetic effects in a holographic Fermi-like liquid
• Fluctuations and instabilities of a holographic metal
• Chiral primary one-point functions in the D3-D7 defect conformal field theory
• Holographic anyonic superfluidity
• Giant D5 Brane Holographic Hall State
• Holographic pinning
• Holographic sliding stripes
• Fluctuations in finite density holographic quantum liquids
• D7-anti-D7 bilayer: holographic dynamical symmetry breaking
• D3-D5 Holography with Flux
• Flavor-symmetry Breaking with Charged Probes
• Towards holographic flat bands
• Plasmons in Holographic Graphene
• D3-D7 Holographic dual of a perturbed 3D CFT
• Striped anyonic fluids
• Engineering holographic flat fermionic bands
• Magnetic field driven instability in planar NJL model in real-time formalism
• Holographic Wilson Loops, Dielectric Interfaces, and Topological Insulators
• Flowing holographic anyonic superfluid
• Novel semi-circle law and Hall sliding in a strongly interacting electron liquid