Author(s): Alejo, Luis [UNESP] ; Nastase, Horatiu [UNESP]
Date: 2019
Persistent ID: http://hdl.handle.net/11449/189532
Origin: Oasisbr
Subject(s): AdS-CFT Correspondence; Holography and condensed matter physics (AdS/CMT); AdS-CFT Correspondence; AdS-CFT Correspondence; Holography and condensed matter physics (AdS/CMT); Holography and condensed matter physics (AdS/CMT)
Made available in DSpace on 2019-10-06T16:43:42Z (GMT). No. of bitstreams: 0 Previous issue date: 2019-08-01
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.
Instituto de Física Teórica UNESP-Universidade Estadual Paulista, R. Dr. Bento T. Ferraz 271, Bl. II
Instituto de Física Teórica UNESP-Universidade Estadual Paulista, R. Dr. Bento T. Ferraz 271, Bl. II
