TL;DR
This paper presents a simplified effective field theory framework for holographic liquids, highlighting Goldstone modes as key transport degrees of freedom and connecting boundary and horizon descriptions.
Contribution
It introduces a new effective field theory approach that links holographic IR sectors with boundary Goldstone modes, clarifying transport phenomena in holographic liquids.
Findings
Goldstone modes govern charge and energy-momentum transport.
The framework connects boundary currents with horizon dynamics.
Re-analysis of zero-temperature sound mode in D3-D7 system.
Abstract
We argue that there exist simple effective field theories describing the long-distance dynamics of holographic liquids. The degrees of freedom responsible for the transport of charge and energy-momentum are Goldstone modes. These modes are coupled to a strongly coupled infrared sector through emergent gauge and gravitational fields. The IR degrees of freedom are described holographically by the near-horizon part of the metric, while the Goldstone bosons are described by a field-theoretical Lagrangian. In the cases where the holographic dual involves a black hole, this picture allows for a direct connection between the holographic prescription where currents live on the boundary, and the membrane paradigm where currents live on the horizon. The zero-temperature sound mode in the D3-D7 system is also re-analyzed and re-interpreted within this formalism.
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