iedemann-Franz laws and Sl(2, Z) duality in AdS/CMT holographic duals and one-dimensional effective actions for the

Autor(es)

Melnikov, Dmitry ^{[1, 2]} ; Nastase, Horatiu ^[3]

Afiliação do(s) autor(es)

^[1] Univ Fed Rio Grande do Norte, Int Inst Phys, Campus Univ, BR-59078970 Natal, RN - Brazil

^[2] Inst Theoret & Expt Phys, B Cheremushkinskaya 25, Moscow 117218 - Russia

^[3] UNESP Univ Estadual Paulista, Inst Fis Teor, R Dr Bento T Ferraz 271, Bl 2, BR-01140070 Sao Paulo, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of High Energy Physics; n. 5 MAY 12 2021.
• Citações Web of Science: 0

Resumo

In 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<overbar></mml:mover>=kappa <overbar></mml:mover>/<mml:mfenced close={''}){''} open={''}({''}>T sigma</mml:mfenced><mml:mo>=cg42 pi <mml:mo>/3, from the weakly coupled gravity dual. In a self-dual theory this value is also the value of L = kappa/(T sigma) in the weakly coupled field theory description. Using the formalism of a 0+1 dimensional effective action for both generalized SY K-q models and the AdS(4) 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. (AU)

• Processo FAPESP: 19/13231-7 - Rede Chile - São Paulo de holografia
• Beneficiário: Horatiu Stefan Nastase
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 16/01343-7 - ICTP Instituto Sul-Americano para Física Fundamental: um centro regional para física teórica
• Beneficiário: Nathan Jacob Berkovits
• Modalidade de apoio: Auxílio à Pesquisa - Projetos Especiais
• Processo FAPESP: 19/21281-4 - Dualidade gravitação / Teoria de gauge
• Beneficiário: Horatiu Stefan Nastase
• Modalidade de apoio: Auxílio à Pesquisa - Temático