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Wiedemann-Franz laws and Sl(2, ℤ) duality in AdS/CMT holographic duals and one-dimensional effective actions for them.
- Source :
- Journal of High Energy Physics; May2021, Vol. 2021 Issue 5, p1-49, 49p
- Publication Year :
- 2021
-
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 ¯ = κ ¯ / Tσ = cg 4 2 π / 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 K<subscript>q</subscript> models and the AdS<subscript>4</subscript> 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- CONDENSED matter physics
HALL effect
QUANTUM Hall effect
GAUGE field theory
Subjects
Details
- Language :
- English
- ISSN :
- 11266708
- Volume :
- 2021
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- 150984178
- Full Text :
- https://doi.org/10.1007/JHEP05(2021)092