Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling

Abstract

Using the duality conjecture between N=6 supersymmetric U(N)_k \times U(N)_{-k} Chern-Simons theory and M-theory on AdS_4 \times S^7/Z_{k}, we calculate the corrections to the shear viscosity of the field theory at temperature T. At strong 't Hooft coupling and at small k level, we have considered one-loop correction to the M-theory effective action. At large k level, we have considered the alpha' correction to the type IIA effective action. In both cases the correction to the ratio of shear viscosity to the entropy density is positive.

arXiv comment20 pages, latex file. v3: The final version, to appear in NPB

References in corpus (87)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Black Hole Entropy is Noether Charge
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Comments on Multiple M2-branes
• Holography and hydrodynamics: diffusion on stretched horizons
• Viscosity Bound Violation in Higher Derivative Gravity
• Universality of the shear viscosity in supergravity
• Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
• Viscosity Bound and Causality Violation
• Schwinger-Keldysh Propagators from AdS/CFT Correspondence
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• Entropy of Lovelock Black Holes
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• Coupling Constant Dependence in the Thermodynamics of N=4 Supersymmetric Yang-Mills Theory
• Entropy of Near-Extremal Black p-branes
• Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang-Mills theory
• Three-Algebras and N=6 Chern-Simons Gauge Theories
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Comments on the Bagger-Lambert theory and multiple M2-branes
• The M2-M5 Brane System and a Generalized Nahm's Equation
• Superstrings on AdS_4 x CP^3 as a Coset Sigma-model
• The SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory
• On Type IIA Penrose Limit and N=6 Chern-Simons Theories
• Membranes on an Orbifold
• Constraining Maximally Supersymmetric Membrane Actions
• M2 to D2 revisited
• On the moduli space of elliptic Maxwell-Chern-Simons theories
• Quantum corrections to eta/s
• R^4 terms in 11 dimensions and conformal anomaly of (2,0) theory
• Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry
• The Hydrodynamics of M-Theory
• Resolving disagreement for eta/s in a CFT plasma at finite coupling
• N=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations
• On M5-branes in N=6 Membrane Action
• Semiclassical Quantization of Spinning Strings in AdS_4 x CP^3
• Spinning strings at one-loop in AdS_4 x P^3
• Supersymmetric Yang-Mills Theory From Lorentzian Three-Algebras
• The AdS4/CFT3 algebraic curve
• Multiple M2-branes and Generalized 3-Lie algebras
• Mass-Deformed Bagger-Lambert Theory and its BPS Objects
• Vacua of M-theory and string theory
• Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
• Transport properties of N=4 supersymmetric Yang-Mills theory at finite coupling
• One-loop corrections to Bagger-Lambert theory
• Finite size Giant Magnons in the string dual of N=6 superconformal Chern-Simons theory
• An N=1 Superfield Action for M2 branes
• One-loop four-graviton amplitude in eleven-dimensional supergravity
• Multiple M2-branes and the Embedding Tensor
• Consistent Warped-Space Kaluza-Klein Reductions, Half-Maximal Gauged Supergravities and CP^n Constructions
• Comment on the Scaling Function in AdS4 x CP3
• Multiple Membranes from Gauged Supergravity
• Aspects of Multiple Membranes
• A New N=4 Membrane Action via Orbifold
• Janus field theories from multiple M2 branes
• Pure Spinor Formalism for Osp(N|4) backgrounds
• Taking off the square root of Nambu-Goto action and obtaining Filippov-Lie algebra gauge theory action
• Neumann-Rosochatius integrable system for strings on AdS_4 x CP^3
• Ternary Virasoro - Witt Algebra
• Scaling limit of N=6 superconformal Chern-Simons theories and Lorentzian Bagger-Lambert theories
• Classification of the BPS states in Bagger-Lambert Theory
• Coulomb Branch of the Lorentzian Three Algebra Theory
• Kac-Moody Extensions of 3-Algebras and M2-branes
• Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections
• On the structure of k-Lie algebras
• Multiple D2-Brane Action from M2-Branes
• Holographic Supergravity Dual to Three Dimensional N=2 Gauge Theory
• Topological branes, p-algebras and generalized Nahm equations
• Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes
• M-Theory Superalgebra From Multiple Membranes
• $w_{\infty }$ 3-algebra
• Towards Holographic Gravity Dual of N=1Superconformal Chern-Simons Gauge Theory
• From Simplified BLG Action to the First-Quantized M-Theory
• Multiple M2-Branes and Plane Waves
• A note on Quantum Aspects of Multiple Membranes
• Generalized Conformal Symmetry and Recovery of SO(8) in Multiple M2 and D2 Branes
• Supergravity dual of Chern-Simons Yang-Mills theory with N=6,8 superconformal IR fixed point
• D2 to M2 Procedure for D2-Brane DBI Effective Action
• M2-branes on a resolved $C_4/Z_4$
• On Nambu-Lie 3-algebra representations
• Virasoro 3-algebra from scalar densities
• Bagger-Lambert theory on an orbifold and its relation to Chern-Simons-matter theories
• Linear Sigma Models for the R^8/Z_k Orbifold
• A note on interpreting N M2 branes

Cited by in corpus (20)

• Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
• Beyond eta/s = 1/4pi
• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
• Exploring Pure Spinor String Theory on AdS_4 x CP^3
• Topological branes, p-algebras and generalized Nahm equations
• Two-loop test of the N=6 Chern-Simons theory S-matrix
• A note on the reduction of the AdS4 x CP3 string sigma model
• Generalized Conformal Symmetry and Recovery of SO(8) in Multiple M2 and D2 Branes
• Non-relativistic D3-brane in the presence of higher derivative corrections
• D2 to M2 Procedure for D2-Brane DBI Effective Action
• On semiclassical calculation of three-point functions in AdS_4 x CP^3
• Viscosity bound for anisotropic superfluids in higher derivative gravity
• M2-branes on a resolved $C_4/Z_4$
• Wilson Loops in 3d QFT from D-branes in AdS(4) x CP**3
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• Near Flat Space limit of strings on AdS_4 x CP^3
• $\eta /s$ at finite coupling
• One-loop corrections to $\eta /s$ in AdS${}_4$/CFT${}_3$
• More on entropy function formalism for non-extremal branes
• 3d CFT and Multi M2-brane Theory on RxS^2