| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [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
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | Journal of High Energy Physics; n. 5 MAY 12 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
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) | |
| FAPESP's process: | 19/13231-7 - Chile - São Paulo network on holography |
| Grantee: | Horatiu Stefan Nastase |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 16/01343-7 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics |
| Grantee: | Nathan Jacob Berkovits |
| Support Opportunities: | Special Projects |
| FAPESP's process: | 19/21281-4 - Gauge / gravity duality |
| Grantee: | Horatiu Stefan Nastase |
| Support Opportunities: | Research Projects - Thematic Grants |