Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-11-26
Phys.Rev.D79:066003,2009
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, v2: references added
Scientific paper
10.1103/PhysRevD.79.066003
For conformal field theories which admit a dual gravitational description in anti-de Sitter space, electrical transport properties, such as conductivity and charge diffusion, are determined by the dynamics of a U(1) gauge field in the bulk and thus obey universality relations at the classical level due to the uniqueness of the Maxwell action. We analyze corrections to these transport parameters due to higher-dimension operators in the bulk action, beyond the leading Maxwell term, of which the most significant involves a coupling to the bulk Weyl tensor. We show that the ensuing corrections to conductivity and the diffusion constant break the universal relation with the U(1) central charge observed at leading order, but are nonetheless subject to interesting bounds associated with causality in the boundary CFT.
Ritz Adam
Ward John
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