M-brane bound states and the supersymmetry of BPS solutions in the Bagger-Lambert theory

Abstract

We continue our study of BPS equations and supersymmetric configurations in the Bagger-Lambert theory. The superalgebra allows three different types of central extensions which correspond to compounds of various M-theory objects: M2-branes, M5-branes, gravity waves and Kaluza-Klein monopoles which intersect or have overlaps with the M2-branes whose dynamics is given by the Bagger-Lambert action. As elementary objects they are all 1/2-BPS, and multiple intersections of $n$-branes generically break the supersymmetry into $1/2^n$, as it is well known. But a particular composite of M-branes can preserve from 1/16 up to 3/4 of the original $\mathcal{N}=8$ supersymmetries as previously discovered. In this paper we provide the M-theory interpretation for various BPS equations, and also present explicit solutions to some 1/2-BPS equations.

20 pages;v2 refs added;v3 refs added. typos corrected

References in corpus (18)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Comments on Multiple M2-branes
• Membranes on an Orbifold
• Constraining Maximally Supersymmetric Membrane Actions
• M2 to D2 revisited
• Supersymmetric Yang-Mills Theory From Lorentzian Three-Algebras
• Mass-Deformed Bagger-Lambert Theory and its BPS Objects
• 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
• Coulomb Branch of the Lorentzian Three Algebra Theory
• Light-cone M5 and multiple M2-branes
• Topological branes, p-algebras and generalized Nahm equations
• M-Theory Superalgebra From Multiple Membranes
• Lorentzian Lie n-algebras
• D2 or M2? A Note on Membrane Scattering
• Aspects of M-Theory Brane Interactions and String Theory Symmetries

Cited by in corpus (18)

• Vortex-type Half-BPS Solitons in ABJM Theory
• SDiff Gauge Theory and the M2 Condensate
• Some BPS configurations of the BLG Theory
• Exact Half-BPS Flux Solutions in M-theory with $D(2,1;c^{\prime };0{)}^2$ Symmetry: Local Solutions
• Topological Twisting of Multiple M2-brane Theory
• N=6 Membrane Worldvolume Superalgebra
• M5 brane from mass deformed BLG theory
• Three-algebra for supermembrane and two-algebra for superstring
• On The Supersymmetric Solutions of D=3 Half-maximal Supergravities
• BPS Vortices in Non-relativistic M2-brane Chern-Simons-matter Theory
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• Abelian Vortex in Bagger-Lambert-Gustavsson Theory
• Worldvolume Superalgebra Of BLG Theory With Nambu-Poisson Structure
• Classification of BPS Objects in N = 6 Chern-Simons Matter Theory
• Nambu-Poisson Bracket and M-Theory Branes Coupled to Antisymmetric Fluxes
• Aspects of Supersymmetry in Multiple Membrane Theories
• Quiver Chern-Simons theories and 3-algebra orbifolds
• BPS Vortices, $Q$-balls, and $Q$-vortices in $\mathcal{N}=6$} Chern-Simons Matter Theory