Conductivity in the gravity dual to massive ABJM and the membrane paradigm

Cristhiam Lopez-Arcos, Horatiu Nastase, Francisco Rojas, Jeff Murugan

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4 Scopus citations


In this paper we analyze the effect of the massive deformation of the ABJM model on the calculation of conductivity of the dual theory. We show that some of the difficulties presented by the dual geometry, in particular the construction of black holes therein, can be at least partially circumvented by adopting a membrane paradigm-like computation of the conductivity, which requires us to know just the effect of the deformation on the horizon of a black hole in AdS4. The deformation at the horizon itself is found by first deforming the flat space near the horizon, and then using the corresponding solution near the horizon as initial conditions for the Einstein's equations. We find the same result, showing an increase in conductivity, using two types of membrane paradigm computations.

Original languageEnglish
Article number36
JournalJournal of High Energy Physics
Issue number1
StatePublished - Jan 2014
Externally publishedYes


  • Black Holes
  • Holography and condensed matter physics (AdS/CMT)


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