Membranes with a boundary

Abstract

We investigate the recently developed theory of multiple membranes. In particular, we consider open membranes, i.e. the theory defined on a membrane world volume with a boundary. We first restrict our attention to the gauge sector of the theory. We obtain a boundary action from the Chern-Simons terms. Secondly, we consider the addition of certain boundary terms to various Chern-Simons theories coupled to matter. These terms ensure the full bulk plus boundary action has the correct amount of supersymmetry. For the ABJM model, this construction motivates the inclusion of a boundary quartic scalar potential. The boundary dynamics obtained from our modified theory produce Basu-Harvey type equations describing membranes ending on a fivebrane. The ultimate goal of this work is to throw light on the theory of fivebranes using the theory of open membranes.

48 pages, Latex, v2 references added

References in corpus (22)

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Cited by in corpus (49)

• Two-dimensional SCFTs from wrapped branes and c-extremization
• 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
• Boundary Conditions for Interacting Membranes
• Conformal field theories in anti-de Sitter space
• Localization of 3d $\mathcal{N}=2$ Supersymmetric Theories on $S^1\times D^2$
• 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
• Multiple Self-Dual Strings on M5-Branes
• Non-anticommutativity in Presence of a Boundary
• Super-Group Field Cosmology
• Gauge and Supersymmetric Invariance of a Boundary Bagger-Lambert-Gustavsson Theory
• Spontaneous Breaking of the BRST Symmetry in the ABJM theory
• Super-Yang-Mills Theory in SIM(1) Superspace
• Localization of supersymmetric field theories on non-compact hyperbolic three-manifolds
• Abelian dualities of $\mathcal{N}=(0,4)$ boundary conditions
• Gauge and Supersymmetry Invariance of N=2 Boundary Chern-Simons Theory
• The supermultiplet of boundary conditions in supergravity
• Boundary Effects in the BLG Theory
• Supersymmetric Boundaries and Junctions in Four Dimensions
• Topological M-Strings and Supergroup WZW Models
• Kählerian Effective Potentials for Chern-Simons-Matter Theories
• Local gravitational solutions dual to M2-branes intersecting and/or ending on M5-branes
• Anti-FFBRST Transformations for the BLG Theory in Presence of a Boundary
• Supersymmetric Chern-Simons Theory in Presence of a Boundary in the Light-Like Direction
• On Supersymmetry, Boundary Actions and Brane Charges
• Boundary Effects in Super-Yang-Mills Theory
• A New String in Ten Dimensions?
• Seiberg-like dualities for orthogonal and symplectic 3d $\mathcal{N}=2$ gauge theories with boundaries
• Worldvolume Superalgebra Of BLG Theory With Nambu-Poisson Structure
• Lorentz Symmetry Breaking in $\mathcal{N}=2$ Superspace
• 5D Maximally Supersymmetric Yang-Mills in 4D Superspace: Applications
• Mock Modular Index of M2-M5 Brane System
• A Lagrangian for self-dual strings
• Spontaneous breaking of nilpotent symmetry in boundary BLG theory
• Singular BPS boundary conditions in $\mathcal{N}=(2,2)$ supersymmetric gauge theories
• Polyakov Loops for the ABJ Theory
• Aspects of Supersymmetry in Multiple Membrane Theories
• 5d-4d Correspondence in Twisted M-theory on a Conifold
• Supersymmetric and non-supersymmetric Seiberg-like dualities for gauged Wess-Zumino-Witten theories, realised on branes
• Localization of four-dimensional super Yang-Mills theories compactified on Riemann surface
• Defects in Chern-Simons theory, gauged WZW models on the brane, and level-rank duality
• $SL(2,\mathbb{Z})$ dualities of boundary conditions in Abelian M2-brane SCFTs
• Near Horizon Geometry of Strings Ending on Intersecting D8/D4-branes
• Generalized Faddeev-Popov Method for a Deformed Supersymmetric Yang-Mills Theory