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dc.contributor.authorMelnikov, Dmitry
dc.contributor.authorNastase, Horatiu [UNESP]
dc.identifier.citationJournal of High Energy Physics, v. 2021, n. 5, 2021.
dc.description.abstractIn this paper we study the Wiedemann-Franz laws for transport in 2+1 dimensions, and the action of Sl(2, ℤ) on this transport, for theories with an AdS/CMT dual. We find that Sl(2, ℤ) restricts the RG-like flow of conductivities and that the Wiedemann-Franz law is L¯=κ¯/(Tσ)=cg42π/3, from the weakly coupled gravity dual. In a self-dual theory this value is also the value of L = κ/(Tσ) in the weakly coupled field theory description. Using the formalism of a 0+1 dimensional effective action for both generalized SY Kq models and the AdS4 gravity dual, we calculate the transport coefficients and show how they can be matched at large q. We construct a generalization of this effective action that is invariant under Sl(2, ℤ) and can describe vortex conduction and integer quantum Hall effect.en
dc.relation.ispartofJournal of High Energy Physics
dc.subjectAdS-CFT Correspondence
dc.subjectDuality in Gauge Field Theories
dc.subjectHolography and condensed matter physics (AdS/CMT)
dc.titleWiedemann-Franz laws and Sl(2, ℤ) duality in AdS/CMT holographic duals and one-dimensional effective actions for themen
dc.contributor.institutionUniversidade Federal do Rio Grande do Norte
dc.contributor.institutionInstitute for Theoretical and Experimental Physics
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.description.affiliationInternational Institute of Physics Universidade Federal do Rio Grande do Norte, Campus Universitário, Lagoa Nova
dc.description.affiliationInstitute for Theoretical and Experimental Physics, B. Cheremushkinskaya 25
dc.description.affiliationInstituto de Física Teórica UNESP-Universidade Estadual Paulista, R. Dr. Bento T. Ferraz 271, Bl. II
dc.description.affiliationUnespInstituto de Física Teórica UNESP-Universidade Estadual Paulista, R. Dr. Bento T. Ferraz 271, Bl. II
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