Topological M-Strings and Supergroup WZW Models

Abstract

We study the boundary conditions in the topologically twisted Chern-Simons matter theories with the Lie 3-algebraic structure. We find that the supersymmetric boundary conditions and the gauge invariant boundary conditions can be unified as the complexified gauge invariant boundary conditions which lead to the supergroup WZW models. We propose that the low-energy effective field theories on the two-dimensional intersection of multiple M2-branes on a holomorphic curve inside K3 with two non-parallel M5-branes on the K3 are supergroup WZW models from the topologically twisted BLG-model and the ABJM-model.

36 pages, 2 figures; v4: published version in Physical Review D

References in corpus (17)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Fractional M2-branes
• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
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• On M5-branes in N=6 Membrane Action
• On the Lie-algebraic origin of metric 3-algebras
• Notes on Supersymmetry Enhancement of ABJM Theory
• Boundary Conditions for Interacting Membranes
• The Superconformal Gaugings in Three Dimensions
• Topological Twisting of Multiple M2-brane Theory
• Membrane Quantum Mechanics
• Analytic Torsion, 3d Mirror Symmetry And Supergroup Chern-Simons Theories
• A Lagrangian for self-dual strings
• Nahm's, Basu-Harvey-Terashima's equations and Lie superalgebras

Cited by in corpus (13)

• (2,2) and (0,4) Supersymmetric Boundary Conditions in 3d N = 4 Theories and Type IIB Branes
• $\mathcal{N}=2$ supersymmetric field theories on 3-manifolds with A-type boundaries
• Abelian dualities of $\mathcal{N}=(0,4)$ boundary conditions
• Dualities and flavored indices of M2-brane SCFTs
• Seiberg-like dualities for orthogonal and symplectic 3d $\mathcal{N}=2$ gauge theories with boundaries
• Matrix supergroup Chern-Simons models for vortex-antivortex systems
• Mock Modular Index of M2-M5 Brane System
• Singular BPS boundary conditions in $\mathcal{N}=(2,2)$ supersymmetric gauge theories
• Line defect half-indices of $SU(N)$ Chern-Simons theories
• 5d-4d Correspondence in Twisted M-theory on a Conifold
• 3-Leibniz bialgebra in $N=6$ Chern-Simons gauge theories, multiple M2 to D2 branes and vice versa
• Domain walls and M2-branes partition functions: M-theory and ABJM Theory
• $SL(2,\mathbb{Z})$ dualities of boundary conditions in Abelian M2-brane SCFTs