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Particle-vortex duality and theta terms in AdS/CMT applications

  • Luis Alejo
  • Horatiu NastaseEmail author
Open Access
Regular Article - Theoretical Physics
First Online:

Abstract

In this paper we study particle-vortex duality and the effect of theta terms from the point of view of AdS/CMT constructions. We can construct the duality in 2+1 dimensional field theories with or without a Chern-Simons term, and derive an effect on conductivities, when the action is viewed as a response action. We can find its effect on 3+1 dimensional theories, with or without a theta term, coupled to gravity in asymptotically AdS space, and derive the resulting effect on conductivities defined in the spirit of AdS/CFT. AdS/CFT then relates the 2+1 dimensional and the 3+1 dimensional cases naturally. Quantum gravity corrections, as well as more general effective actions for the abelian vector, can be treated similarly. We can use the fluid/gravity correspondence, and the membrane paradigm, to define shear and bulk viscosities η and ζ for a gravity plus abelian vector plus scalar system near a black hole, and define the effect of the S-duality on it.

Keywords

AdS-CFT Correspondence Holography and condensed matter physics (AdS/CMT) 
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Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.Instituto de Física TeóricaUNESP-Universidade Estadual PaulistaSao PauloBrazil

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