M2-branes and AdS/CFT

Abstract

These notes provide a brief introduction to the ABJM theory, the level k U(N) x U(N) superconformal Chern-Simons matter theory which has been conjectured to describe N coincident M2-branes. We discuss its dual formulation in terms of M-theory on AdS_4 x S^7/Z_k and review some of the evidence in favor of the conjecture. We end with a brief discussion of the important role played by the monopole operators.

20 pages, 2 figures, 2 tables. Based on lectures delivered by I.R.K. at the Galileo Galilei Institute summer school "New Perspectives in String Theory", v2: minor improvements; references added

References in corpus (15)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Comments on the Bagger-Lambert theory and multiple M2-branes
• Membranes on an Orbifold
• On the moduli space of elliptic Maxwell-Chern-Simons theories
• Moduli spaces of Chern-Simons quiver gauge theories and AdS_4/CFT_3
• Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry
• Three-dimensional N=6 SCFT's and their membrane dynamics
• AdS_4/CFT_3 -- Squashed, Stretched and Warped
• Notes on adding D6 branes wrapping RP3 in AdS4 x CP3
• Enhanced N=8 Supersymmetry of ABJM Theory on R(8) and R(8)/Z(2)
• A Stringy Origin of M2 Brane Chern-Simons Theories
• Introduction to AdS-CFT
• Gauge-String Dualities and Some Applications

Cited by in corpus (38)

• n-ary algebras: a review with applications
• The $\mathcal{N}=8$ Superconformal Bootstrap in Three Dimensions
• Supersymmetry enhancement by monopole operators
• The Holography of F-maximization
• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• Lectures on AdS Black Holes, Holography and Localization
• Lectures on localization and matrix models in supersymmetric Chern-Simons-matter theories
• Multiple Membranes in M-theory
• Boundary Conditions for Interacting Membranes
• A slow review of the AGT correspondence
• Unquenched massive flavors and flows in Chern-Simons matter theories
• N=6 Superspace Constraints, SUSY Enhancement and Monopole Operators
• Thermodynamics of the brane in Chern-Simons matter theories with flavor
• Giant Gravitons on AdS_4 x CP^3 and their Holographic Three-point Functions
• N=8 Superspace Constraints for Three-dimensional Gauge Theories
• Low-energy effective actions in three-dimensional extended SYM theories
• Holographic RG Flow in a New $SO(3)\times SO(3)$ Sector of $\omega$-Deformed $SO(8)$ Gauged $\mathcal{N}=8$ Supergravity
• Double-Trace Flows and the Swampland
• Fermi surface behavior in the ABJM M2-brane theory
• M-Theory and Maximally Supersymmetric Gauge Theories
• Precision Spectroscopy and Higher Spin symmetry in the ABJM model
• M5-brane Defect and QHE in AdS_4 x N(1,1)/N=3 SCFT
• Chern-Simons-Higgs Theory with Visible and Hidden Sectors and its $\mathcal{N}=2$ SUSY Extension
• A Cubic Deformation of ABJM: The Squashed, Stretched, Warped, and Perturbed Gets Invaded
• Fermionic T-duality and U-duality in type II supergravity
• On thermodynamics of N=6 superconformal Chern-Simons theory
• Operator Counting for N=2 Chern-Simons Gauge Theories with Chiral-like Matter Fields
• Fermionic Response in Finite-Density ABJM Theory with Broken Symmetry
• Quantum phase transitions with dynamical flavors
• Finite-Temperature Fractional D2-Branes and the Deconfinement Transition in 2+1 Dimensions
• Cartan-Weyl 3-algebras and the BLG Theory I: Classification of Cartan-Weyl 3-algebras
• Inverse algorithm and M2-brane theories
• Polyakov Loops for the ABJ Theory
• Introductory Lectures on Multiple Membranes
• Brane tilings and supersymmetric gauge theories
• Partial resolution of complex cones over Fano $\mathcal{B}$
• Monopole operators and symmetry enhancement in ABJM theory revisited
• Dualities from large N orbifold equivalence in Chern-Simons-matter theories with flavor