S-duality, entropy function and transport in AdS 4 /CMT 3

Abstract In this paper we consider Abelian vector plus scalar holographic gravity models for 2+1 dimensional condensed matter transport, and the effect of S-duality on them. We find the transport coefficients from the electric and heat currents via usual membrane paradigm-type calculations, and the...

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Main Authors: Luis Alejo, Prieslei Goulart, Horatiu Nastase
Format: Article
Language:English
Published: SpringerOpen 2019-09-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP09(2019)003
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author Luis Alejo
Prieslei Goulart
Horatiu Nastase
author_facet Luis Alejo
Prieslei Goulart
Horatiu Nastase
author_sort Luis Alejo
collection DOAJ
description Abstract In this paper we consider Abelian vector plus scalar holographic gravity models for 2+1 dimensional condensed matter transport, and the effect of S-duality on them. We find the transport coefficients from the electric and heat currents via usual membrane paradigm-type calculations, and the effect of S-duality on them. We study the same system also by using the entropy function formalism in the extremal case, and the formalism of holographic Stokes equations, in the case of one-dimensional lattices. We study a few generalizations that appear when considering a supergravity-inspired model, and apply the entropy function method for them.
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spelling doaj.art-ac7b74459b344f4d904edfa02bb518742022-12-21T20:36:25ZengSpringerOpenJournal of High Energy Physics1029-84792019-09-012019913710.1007/JHEP09(2019)003S-duality, entropy function and transport in AdS 4 /CMT 3Luis Alejo0Prieslei Goulart1Horatiu Nastase2Instituto de Física Teórica, UNESP-Universidade Estadual PaulistaInstituto de Física, Universidade de São PauloInstituto de Física Teórica, UNESP-Universidade Estadual PaulistaAbstract In this paper we consider Abelian vector plus scalar holographic gravity models for 2+1 dimensional condensed matter transport, and the effect of S-duality on them. We find the transport coefficients from the electric and heat currents via usual membrane paradigm-type calculations, and the effect of S-duality on them. We study the same system also by using the entropy function formalism in the extremal case, and the formalism of holographic Stokes equations, in the case of one-dimensional lattices. We study a few generalizations that appear when considering a supergravity-inspired model, and apply the entropy function method for them.http://link.springer.com/article/10.1007/JHEP09(2019)003AdS-CFT CorrespondenceHolography and condensed matter physics (AdS/CMT)
spellingShingle Luis Alejo
Prieslei Goulart
Horatiu Nastase
S-duality, entropy function and transport in AdS 4 /CMT 3
Journal of High Energy Physics
AdS-CFT Correspondence
Holography and condensed matter physics (AdS/CMT)
title S-duality, entropy function and transport in AdS 4 /CMT 3
title_full S-duality, entropy function and transport in AdS 4 /CMT 3
title_fullStr S-duality, entropy function and transport in AdS 4 /CMT 3
title_full_unstemmed S-duality, entropy function and transport in AdS 4 /CMT 3
title_short S-duality, entropy function and transport in AdS 4 /CMT 3
title_sort s duality entropy function and transport in ads 4 cmt 3
topic AdS-CFT Correspondence
Holography and condensed matter physics (AdS/CMT)
url http://link.springer.com/article/10.1007/JHEP09(2019)003
work_keys_str_mv AT luisalejo sdualityentropyfunctionandtransportinads4cmt3
AT priesleigoulart sdualityentropyfunctionandtransportinads4cmt3
AT horatiunastase sdualityentropyfunctionandtransportinads4cmt3