1/N effects in non-relativistic gauge-gravity duality

被引:68
作者
Adams, Allan [1 ]
Maloney, Alexander [2 ]
Sinha, Aninda [3 ]
Vazquez, Samuel E. [3 ]
机构
[1] MIT, Ctr Theoret Phys, Cambridge, MA 02139 USA
[2] McGill Phys Dept, Montreal, PQ H3A 2T8, Canada
[3] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2009年 / 03期
关键词
Gauge-gravity correspondence; AdS-CFT Correspondence;
D O I
10.1088/1126-6708/2009/03/097
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We argue that higher-curvature terms in the gravitational Lagrangian lead, via non-relativistic gauge-gravity duality, to finite renormalization of the dynamical exponent of the dual conformal field theory. Our argument includes a proof of the non-renormalization of the Schrodinger and Lifshitz metrics beyond rescalings of their parameters, directly generalizing the AdS case. We use this effect to construct string-theory duals of non-relativistic critical systems with non-integer dynamical exponents, then use these duals to predict the viscosity/entropy ratios of these systems. The predicted values weakly violate the KSS bound.
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页数:24
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共 34 条
[1]  
ADAMS AEM, IN PRESS
[2]   Hot spacetimes for cold atoms [J].
Adams, Allan ;
Balasubramanian, Koushik ;
McGreevy, John .
JOURNAL OF HIGH ENERGY PHYSICS, 2008, (11)
[3]   Causality, analyticity and an IR obstruction to UV completion [J].
Adams, Allan ;
Arkani-Hamed, Nima ;
Dubovsky, Sergei ;
Nicolis, Alberto ;
Rattazzi, Riccardo .
JOURNAL OF HIGH ENERGY PHYSICS, 2006, (10)
[4]   Topological order and conformal quantum critical points [J].
Ardonne, E ;
Fendley, P ;
Fradkin, E .
ANNALS OF PHYSICS, 2004, 310 (02) :493-551
[5]   Gravity duals for nonrelativistic conformal field theories [J].
Balasubramanian, Koushik ;
McGreevy, John .
PHYSICAL REVIEW LETTERS, 2008, 101 (06)
[6]  
Blau M, 1999, J HIGH ENERGY PHYS
[7]   Viscosity bound and causality violation [J].
Brigante, Mauro ;
Liu, Hong ;
Myers, Robert C. ;
Shenker, Stephen ;
Yaida, Sho .
PHYSICAL REVIEW LETTERS, 2008, 100 (19)
[8]   Universal holographic hydrodynamics at finite coupling [J].
Buchel, Alex ;
Myers, Robert C. ;
Paulos, Miguel F. ;
Sinha, Aninda .
PHYSICS LETTERS B, 2008, 669 (05) :364-370
[9]  
FREY A, LANDSCAPE S IN PRESS
[10]   Breaking an Abelian gauge symmetry near a black hole horizon [J].
Gubser, Steven S. .
PHYSICAL REVIEW D, 2008, 78 (06)