Universal properties of the U(1) current at deconfined quantum critical points: comparison with predictions from gauge/gravity duality

Details Universal properties of the U(1) current at deconfined quantum critical points: comparison with predictions from gauge/gravity duality Universal properties of the U(1) current at deconfined quantum critical points: comparison with predictions from gauge/gravity duality

2009-02-03

arxiv.org/abs/0902.0364v2

Phys.Rev.D79:105007,2009

Physics

Condensed Matter

Strongly Correlated Electrons

4.5 pages, 1 figure; v2: accepted in PRD, text restructured to make presentation/discussion clearer, references added

Scientific paper

10.1103/PhysRevD.79.105007

The deconfined quantum critical point of a two-dimensional SU(N) antiferromagnet is governed by an Abelian Higgs model in $d=2+1$ spacetime dimensions featuring $N$ complex scalar fields. In this context, we derive for $2\leq d\leq 4$ an exact formula for the central charge of the U(1) current in terms of the gauge coupling at quantum criticality and compare it with the corresponding result obtained using gauge-gravity duality. There is a remarkable similarity precisely for $d=2+1$. In this case the amplitude of the current correlation function has the same form as predicted by the gauge-gravity duality. We also compare finite temperature results for the charge susceptibility in the large $N$ limit with the result predicted by the gauge-gravity duality. Our results suggest that condensed matter systems at quantum criticality may provide interesting quantitative tests of the gauge-gravity duality even in absence of supersymmetry.

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