Chern-Simons diffusion rate in a holographic Yang-Mills theory

Abstract

Using holography, we compute the Chern-Simons diffusion rate of 4d gauge theories constructed by wrapping D4-branes on a circle. In the model with antiperiodic boundary conditions for fermions, we find that it scales like $T^6$ in the high-temperature phase. With periodic fermions, this scaling persists at low temperatures. The scaling is reminiscent of 6d hydrodynamic behavior even at temperatures small compared to compactification scales of the M5-branes from which the D4-branes descend. We offer a holographic explanation of this behavior by adding a new entry to the known map between D4 and M5 hydrodynamics, and suggest a field theory explanation based on "deconstruction" or "fractionization".

13 pages, misstatement in published version about low temperature phase removed, main results unaffected

References in corpus (6)

• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Charge separation induced by P-odd bubbles in QCD matter
• A holographic model of deconfinement and chiral symmetry restoration
• Precision holography for non-conformal branes
• Universal hydrodynamics of non-conformal branes
• Higher dimensional conformal field theories in the Coulomb branch

Cited by in corpus (9)

• The Chern-Simons Diffusion Rate in Improved Holographic QCD
• Axial current generation by P-odd domains in QCD matter
• Thermodynamics and CP-odd transport in Holographic QCD with Finite Magnetic Field
• The Chern-Simons diffusion rate from higher curvature gravity
• Spacetime dynamics of chiral magnetic currents in a hot non-Abelian plasma
• Real-time dynamics of axial charge and chiral magnetic current in a non-Abelian expanding plasma
• On the Universality of the Chern-Simons Diffusion Rate
• Chern-Simons diffusion rate across different phase transitions
• Chiral Separation Effect from Holographic QCD