DBI equations and holographic DC conductivity
Alfonso Ballon-Bayona, Cristine N. Ferreira, Victor J. Vasquez, Otoya
TL;DR
This paper introduces a simplified method for deriving DBI equations in static backgrounds and applies it to compute holographic DC conductivity, recovering known results for metals and strange metals.
Contribution
A new, frame-independent approach to derive DBI equations and calculate DC conductivity in holographic models with arbitrary static backgrounds.
Findings
Derived a frame-independent expression for DC conductivity tensor.
Reproduced known results for holographic metals and strange metals.
Provided a simplified method applicable to various static backgrounds.
Abstract
We provide a simple method for writing the Dirac-Born-Infeld (DBI) equations of a Dp-brane in an arbitrary static background whose metric depends only on the holographic radial coordinate z. Using this method we revisit the Karch-O'Bannon's procedure to calculate the DC conductivity in the presence of constant electric and magnetic fields for backgrounds where the boundary is four or three dimensional and satisfies homogeneity and isotropy. We find a frame-independent expression for the DC conductivity tensor. For particular backgrounds we recover previous results on holographic metals and strange metals.
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