Multiple Self-Dual Strings on M5-Branes

Abstract

We show how to define Chern-Simons matter theories with boundary. Rather than imposing boundary conditions, we introduce new boundary degrees of freedom from the beginning and show how they can be used to cancel the gauge non-invariance of the Chern-Simons action. We apply this method to the ABJM theory with boundary. By imposing also boundary conformal invariance, we determine the required boundary action. This result allows us to derive the action for the multiple self-dual strings living on M5-branes.

v2: LaTeX, 24 pages, no figure. Construction of the boundary supersymmetric WZW action and a few other comments added. Typos corrected. Version to appear in JHEP

References in corpus (7)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Algebraic structures on parallel M2-branes
• On M5-branes in N=6 Membrane Action
• Membranes with a boundary
• Towards the Quantum Geometry of the M5-brane in a Constant C-Field from Multiple Membranes
• Aspects of Multiple Membranes
• M2-M5 Systems in N=6 Chern-Simons Theory

Cited by in corpus (30)

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• Towards an M5-Brane Model I: A 6d Superconformal Field Theory
• Non-anticommutativity in Presence of a Boundary
• Gauge and Supersymmetric Invariance of a Boundary Bagger-Lambert-Gustavsson Theory
• Large-N limits of 2d CFTs, Quivers and AdS_3 duals
• Self-dual Strings and 2D SYM
• Non-abelian Self-Dual String and M2-M5 Branes Intersection in Supergravity
• Unifying Approaches to Chiral Bosons
• Non-Abelian Self-Dual String Solutions
• Topological M-Strings and Supergroup WZW Models
• Local gravitational solutions dual to M2-branes intersecting and/or ending on M5-branes
• Effective observables for electromagnetic duality from novel amplitude decomposition
• The Non-Abelian Self-Dual String and the (2,0)-Theory
• Seiberg-like dualities for orthogonal and symplectic 3d $\mathcal{N}=2$ gauge theories with boundaries
• Boundary String Current & Weyl Anomaly in Six-dimensional Conformal Field Theory
• Weyl Anomaly and Vacuum Magnetization Current of M5-brane in Background Flux
• Non-Abelian Self-Dual Strings in Six Dimensions from Four Dimensional 1/2-BPS Monopoles
• N=2 Super-Yang-Mills Theory from a Chern-Simons Action
• Cartan-Weyl 3-algebras and the BLG Theory I: Classification of Cartan-Weyl 3-algebras
• Mock Modular Index of M2-M5 Brane System
• A Lagrangian for self-dual strings
• Cartan-Weyl 3-algebras and the BLG Theory II: Strong-Semisimplicity and Generalized Cartan-Weyl 3-algebras
• Open M2-branes with Flux and Modified Basu-Harvey Equation
• Heterotic M2-branes
• 5d-4d Correspondence in Twisted M-theory on a Conifold
• $SL(2,\mathbb{Z})$ dualities of boundary conditions in Abelian M2-brane SCFTs