Abelian Vortex in Bagger-Lambert-Gustavsson Theory

Abstract

Among newly discovered M2, M5 objects in the Bagger-Lambert-Gustavsson theory, our interest is about half BPS vortices which are covariantly holomorphic curves in transverse coordinates. We restrict ourselves to the case where the global symmetry is broken to so(2) x so(2)x so(4) for the mass deformed Bagger-Lambert theory. A localized object with finite energy exists in this theory where the mass parameter supports regularity. It is time independent but carries angular momentum coming solely from the gauge potential by which the energy is bounded below.

13 pages

References in corpus (47)

• 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
• Comments on Multiple M2-branes
• Janus Configurations, Chern-Simons Couplings, And The Theta-Angle in N=4 Super Yang-Mills Theory
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• 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
• N=4 Superconformal Chern-Simons Theories with Hyper and Twisted Hyper Multiplets
• Membranes on an Orbifold
• Selfdual strings and loop space Nahm equations
• Constraining Maximally Supersymmetric Membrane Actions
• M2 to D2 revisited
• M2-branes, 3-Lie Algebras and Plucker relations
• A Massive Study of M2-brane Proposals
• Supersymmetric Yang-Mills Theory From Lorentzian Three-Algebras
• N = 8 Superconformal Chern--Simons Theories
• Classification of N=6 superconformal theories of ABJM type
• Mass-Deformed Bagger-Lambert Theory and its BPS Objects
• Bagger-Lambert Theory for General Lie Algebras
• Ghost-Free Superconformal Action for Multiple M2-Branes
• D2 to D2
• Membranes on Calibrations
• Taking off the square root of Nambu-Goto action and obtaining Filippov-Lie algebra gauge theory action
• Classification of the BPS states in Bagger-Lambert Theory
• Matrix Theory of Type IIB Plane Wave from Membranes
• Coulomb Branch of the Lorentzian Three Algebra Theory
• Supersymmetric objects in the M-theory on a pp-wave
• A Nonperturbative Test of M2-Brane Theory
• M2-M5 Systems in N=6 Chern-Simons Theory
• BPS equations in Six and Eight Dimensions
• Light-cone M5 and multiple M2-branes
• Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes
• Topological branes, p-algebras and generalized Nahm equations
• Non-Abelian Chern-Simons Vortices
• Lorentzian Lie n-algebras
• M-Theory Superalgebra From Multiple Membranes
• Not One Bit of de Sitter Information
• D2 or M2? A Note on Membrane Scattering
• Lorentzian Lie 3-algebras and their Bagger-Lambert moduli space
• Supersymmetric D-brane Bound States with B-field and Higher Dimensional Instantons on Noncommutative Geometry
• M-brane bound states and the supersymmetry of BPS solutions in the Bagger-Lambert theory
• M2-Brane Superalgebra from Bagger-Lambert Theory
• Topological twisting of conformal supercharges

Cited by in corpus (8)

• Notes on Supersymmetry Enhancement of ABJM Theory
• Vortex Loop Operators, M2-branes and Holography
• Non-Abelian Vortices at Weak and Strong Coupling in Mass Deformed ABJM Theory
• Vortex-type Half-BPS Solitons in ABJM Theory
• Vortices, Q-balls and Domain Walls on Dielectric M2-branes
• N=6 Membrane Worldvolume Superalgebra
• BPS Vortices in Non-relativistic M2-brane Chern-Simons-matter Theory
• BPS Vortices, $Q$-balls, and $Q$-vortices in $\mathcal{N}=6$} Chern-Simons Matter Theory