期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 5, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP05(2021)092
关键词
AdS-CFT Correspondence; Holography and condensed matter physics (AdS; CMT); Duality in Gauge Field Theories
资金
- CNPq [433935/2018-9, 301491/2019-4]
- FAPESP [2019/21281-4, 2019/13231-7, 2016/01343-7]
- ICTP-SAIFR through FAPESP [2016/01343-7]
This paper investigates the Wiedemann-Franz laws for transport in 2+1 dimensions and the action of Sl(2, Z) on this transport. It is found that Sl(2, Z) restricts the flow of conductivities and a generalization of effective action can describe vortex conduction and integer quantum Hall effect. The calculated transport coefficients can be matched at large q.
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) over bar=(kappa) over bar/ (T sigma)=cg(4)(2)pi/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.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据