Quantum critical transport, duality, and M-theory

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dc.creatorHerzog, Christopher P.
dc.creatorKovtun, Pavel
dc.creatorSachdev, Subir
dc.creatorSon, Dam Thanh
dc.date2007-01-05
dc.date2007-04-05
dc.date.accessioned2026-07-07T10:22:21Z
dc.date.available2026-07-07T10:22:21Z
dc.descriptionWe consider charge transport properties of 2+1 dimensional conformal field theories at non-zero temperature. For theories with only Abelian U(1) charges, we describe the action of particle-vortex duality on the hydrodynamic-to-collisionless crossover function: this leads to powerful functional constraints for self-dual theories. For the n=8 supersymmetric, SU(N) Yang-Mills theory at the conformal fixed point, exact hydrodynamic-to-collisionless crossover functions of the SO(8) R-currents can be obtained in the large N limit by applying the AdS/CFT correspondence to M-theory. In the gravity theory, fluctuating currents are mapped to fluctuating gauge fields in the background of a black hole in 3+1 dimensional anti-de Sitter space. The electromagnetic self-duality of the 3+1 dimensional theory implies that the correlators of the R-currents obey a functional constraint similar to that found from particle-vortex duality in 2+1 dimensional Abelian theories. Thus the 2+1 dimensional, superconformal Yang Mills theory obeys a "holographic self duality" in the large N limit, and perhaps more generally.
dc.description35 pages, 4 figures; (v2) New appendix on CFT2, corrected normalization of gauge field action, added refs
dc.identifierhttps://arxiv.org/abs/hep-th/0701036
dc.identifierhttp://arxiv.org/abs/hep-th/0701036
dc.identifierPhys.Rev.D75:085020,2007
dc.identifierdoi:10.1103/PhysRevD.75.085020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/175487
dc.subjectHigh Energy Physics - Theory
dc.subjectStrongly Correlated Electrons
dc.titleQuantum critical transport, duality, and M-theory
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