Boundary Conditions for Interacting Membranes

Abstract

We investigate supersymmetric boundary conditions in both the Bagger-Lambert and the ABJM theories of interacting membranes. We find boundary conditions associated to the fivebrane, the ninebrane and the M-theory wave. For the ABJM theory we are able to understand the enhancement of supersymmetry to produce the (4,4) supersymmetry of the self-dual string. We also include supersymmetric boundary conditions on the gauge fields that cancel the classical gauge anomaly of the Chern-Simons terms.

36 pages, latex, v2 minor typos corrected

References in corpus (52)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Heterotic and Type I String Dynamics from Eleven Dimensions
• Eleven-Dimensional Supergravity on a Manifold with Boundary
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Comments on Multiple M2-branes
• Fractional M2-branes
• Open P-Branes
• D-branes from M-branes
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
• N=5,6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds
• Three-Algebras and N=6 Chern-Simons Gauge Theories
• Comments on the Bagger-Lambert theory and multiple M2-branes
• The M2-M5 Brane System and a Generalized Nahm's Equation
• D-branes, Monopoles and Nahm Equations
• Membranes on an Orbifold
• Constraining Maximally Supersymmetric Membrane Actions
• The Self-Dual String Soliton
• M2-branes, 3-Lie Algebras and Plucker relations
• Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry
• Anomaly Matching and a Hopf-Wess-Zumino Term in 6d, N=(2,0) Field Theories
• On M5-branes in N=6 Membrane Action
• A Noncommutative M-Theory Five-brane
• M2-branes on M-folds
• Intersecting Branes
• Bagger-Lambert Theory for General Lie Algebras
• Notes on Supersymmetry Enhancement of ABJM Theory
• Membranes with a boundary
• Enhanced N=8 Supersymmetry of ABJM Theory on R(8) and R(8)/Z(2)
• M-theory branes and their interactions
• The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories
• Ghost-Free Superconformal Action for Multiple M2-Branes
• N=8 superconformal gauge theories and M2 branes
• Calibrations and Intersecting Branes
• Aspects of Multiple Membranes
• M2-branes and AdS/CFT
• M-Fivebrane from the Open Supermembrane
• M2-M5 Systems in N=6 Chern-Simons Theory
• M2-Branes and Background Fields
• Multiple Self-Dual Strings on M5-Branes
• Equations of the (2,0) Theory and Knitted Fivebranes
• Prolongations of Lie algebras and applications
• The Self-Dual String and Anomalies in the M5-brane
• Open Superbranes
• M5-brane Solution in ABJM Theory and Three-algebra
• BPS Solitons in M5-Brane Worldvolume Theory with Constant Three-Form Field
• N=6 Membrane Worldvolume Superalgebra
• Boundaries of 11-Dimensional Membranes
• M2-Brane Superalgebra from Bagger-Lambert Theory
• The M2-brane Soliton on the M5-brane with Constant 3-Form

Cited by in corpus (47)

• M-Strings
• On orbifolds of M-Strings
• Nonabelian (2,0) Tensor Multiplets and 3-algebras
• Supersymmetric Janus Solutions in Four Dimensions
• Near-horizon solutions for D3-branes ending on 5-branes
• Exact Results in Supersymmetric Field Theories on Manifolds with Boundaries
• Conformal field theories in anti-de Sitter space
• M-theory Solutions Invariant under $D(2,1;\gamma )\oplus D(2,1;\gamma )$
• Surface Defect, Anomalies and $b$-Extremization
• Supersymmetric Chern-Simons Theory in Presence of a Boundary
• Supersymmetric Boundary Conditions in Three Dimensional N = 2 Theories
• The Conformal Anomaly of M5-Branes
• ABJM theory in Batalin-Vilkovisky formulation
• Wilson Surface Central Charge from Holographic Entanglement Entropy
• Gauge and Supersymmetric Invariance of a Boundary Bagger-Lambert-Gustavsson Theory
• Exact Half-BPS Flux Solutions in M-theory with $D(2,1;c^{\prime };0{)}^2$ Symmetry: Local Solutions
• Some BPS configurations of the BLG Theory
• (2,2) and (0,4) Supersymmetric Boundary Conditions in 3d N = 4 Theories and Type IIB Branes
• Spontaneous Breaking of the BRST Symmetry in the ABJM theory
• Self-dual Strings and 2D SYM
• Real ADE-equivariant (co)homotopy and Super M-branes
• $\mathcal{N}=2$ supersymmetric field theories on 3-manifolds with A-type boundaries
• Abelian dualities of $\mathcal{N}=(0,4)$ boundary conditions
• Gauge and Supersymmetry Invariance of N=2 Boundary Chern-Simons Theory
• Supersymmetric Boundaries and Junctions in Four Dimensions
• Dualities and flavored indices of M2-brane SCFTs
• Topological M-Strings and Supergroup WZW Models
• Local gravitational solutions dual to M2-branes intersecting and/or ending on M5-branes
• Supersymmetric Chern-Simons Theory in Presence of a Boundary in the Light-Like Direction
• On Supersymmetry, Boundary Actions and Brane Charges
• A New String in Ten Dimensions?
• Seiberg-like dualities for orthogonal and symplectic 3d $\mathcal{N}=2$ gauge theories with boundaries
• Classification of BPS Objects in N = 6 Chern-Simons Matter Theory
• BRST-invariant boundary conditions and strong ellipticity
• Mock Modular Index of M2-M5 Brane System
• A Lagrangian for self-dual strings
• Singular BPS boundary conditions in $\mathcal{N}=(2,2)$ supersymmetric gauge theories
• Cartan-Weyl 3-algebras and the BLG Theory II: Strong-Semisimplicity and Generalized Cartan-Weyl 3-algebras
• Introductory Lectures on Multiple Membranes
• From Basu-Harvey to Nahm equation via 3-Lie bialgebra
• Polyakov Loops for the ABJ Theory
• Heterotic M2-branes
• 5d-4d Correspondence in Twisted M-theory on a Conifold
• Localization of four-dimensional super Yang-Mills theories compactified on Riemann surface
• 3-Leibniz bialgebra in $N=6$ Chern-Simons gauge theories, multiple M2 to D2 branes and vice versa
• $SL(2,\mathbb{Z})$ dualities of boundary conditions in Abelian M2-brane SCFTs
• Branes and Geometry in String and M-Theory