Quantum critical transport, duality, and M theory
Abstract
We consider charge transport properties of 2+1 dimensional conformal field theories at nonzero temperature. For theories with only Abelian U(1) charges, we describe the action of particlevortex duality on the hydrodynamictocollisionless crossover function: this leads to powerful functional constraints for selfdual theories. For N=8 supersymmetric, SU(N) YangMills theory at the conformal fixed point, exact hydrodynamictocollisionless crossover functions of the SO(8) Rcurrents can be obtained in the large N limit by applying the antide Sitter/conformal field theory (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 antide Sitter space. The electromagnetic selfduality of the 3+1 dimensional theory implies that the correlators of the Rcurrents obey a functional constraint similar to that found from particlevortex duality in 2+1 dimensional Abelian theories. Thus the 2+1 dimensional, superconformal Yang Mills theory obeys a 'holographic selfduality' in the large N limit, and perhaps more generally.
 Authors:
 Department of Physics, University of Washington, Seattle, Washington 981951560 (United States)
 Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 931064030 (United States)
 Department of Physics, Harvard University, Cambridge Massachusetts 02138 (United States)
 Institute for Nuclear Theory, University of Washington, Seattle, Washington 981951550 (United States)
 Publication Date:
 OSTI Identifier:
 21020432
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.75.085020; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BLACK HOLES; CHARGE TRANSPORT; CONFORMAL INVARIANCE; DE SITTER GROUP; DUALITY; GRAVITATION; HOLOGRAPHY; MTHEORY; QUANTUM FIELD THEORY; SO GROUPS; SU GROUPS; SUPERSYMMETRY; U1 GROUPS; VORTICES; YANGMILLS THEORY
Citation Formats
Herzog, Christopher P., Kovtun, Pavel, Sachdev, Subir, and Son, Dam Thanh. Quantum critical transport, duality, and M theory. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.085020.
Herzog, Christopher P., Kovtun, Pavel, Sachdev, Subir, & Son, Dam Thanh. Quantum critical transport, duality, and M theory. United States. doi:10.1103/PHYSREVD.75.085020.
Herzog, Christopher P., Kovtun, Pavel, Sachdev, Subir, and Son, Dam Thanh. Sun .
"Quantum critical transport, duality, and M theory". United States.
doi:10.1103/PHYSREVD.75.085020.
@article{osti_21020432,
title = {Quantum critical transport, duality, and M theory},
author = {Herzog, Christopher P. and Kovtun, Pavel and Sachdev, Subir and Son, Dam Thanh},
abstractNote = {We consider charge transport properties of 2+1 dimensional conformal field theories at nonzero temperature. For theories with only Abelian U(1) charges, we describe the action of particlevortex duality on the hydrodynamictocollisionless crossover function: this leads to powerful functional constraints for selfdual theories. For N=8 supersymmetric, SU(N) YangMills theory at the conformal fixed point, exact hydrodynamictocollisionless crossover functions of the SO(8) Rcurrents can be obtained in the large N limit by applying the antide Sitter/conformal field theory (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 antide Sitter space. The electromagnetic selfduality of the 3+1 dimensional theory implies that the correlators of the Rcurrents obey a functional constraint similar to that found from particlevortex duality in 2+1 dimensional Abelian theories. Thus the 2+1 dimensional, superconformal Yang Mills theory obeys a 'holographic selfduality' in the large N limit, and perhaps more generally.},
doi = {10.1103/PHYSREVD.75.085020},
journal = {Physical Review. D, Particles Fields},
number = 8,
volume = 75,
place = {United States},
year = {Sun Apr 15 00:00:00 EDT 2007},
month = {Sun Apr 15 00:00:00 EDT 2007}
}

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