Classification of BPS Objects in N = 6 Chern-Simons Matter Theory

Abstract

We investigate BPS conditions preserving n/12 (n = 1,...,6) supersymmetries in the Aharony-Bergman-Jafferis-Maldacena (ABJM) model. The BPS equations are classified in terms of the number of preserved supercharges and remaining subgroups of the SU(4)_R symmetry. We study structures of a map between projection conditions for the supercharges in eleven dimensions and those in the ABJM model. The BPS configurations in the ABJM model can be interpreted as known BPS objects in eleven-dimensional Mtheory,such as intersecting M2, M5-branes, M-waves, KK-monopoles and M9-branes. We also show that these BPS conditions reduce to those in N = 8 super Yang-Mills theory via the standard D2-reduction procedure in a consistent way with the M-theory interpretation of the BPS conditions.

47 pages, 0 figures

References in corpus (29)

• 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
• Born-Infeld particles and Dirichlet p-branes
• Brane Dynamics From the Born-Infeld Action
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• M2 to D2
• Selfdual strings and loop space Nahm equations
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• A Massive Study of M2-brane Proposals
• On M5-branes in N=6 Membrane Action
• Supersymmetry of M-Branes at Angles
• Boundary Conditions for Interacting Membranes
• Looking for a Matrix model of ABJM
• Membranes on Calibrations
• On M-9-branes
• Scaling limit of N=6 superconformal Chern-Simons theories and Lorentzian Bagger-Lambert theories
• Classification of the BPS states in Bagger-Lambert Theory
• M-brane intersections from worldvolume superalgebras
• M2-M5 Systems in N=6 Chern-Simons Theory
• 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
• M-brane bound states and the supersymmetry of BPS solutions in the Bagger-Lambert theory
• M5-brane Solution in ABJM Theory and Three-algebra
• BPS Vortices in Non-relativistic M2-brane Chern-Simons-matter Theory
• Time-dependent and Non-BPS Solutions in N=6 Superconformal Chern-Simons Theory

Cited by in corpus (8)

• Supersymmetric Janus Solutions in Four Dimensions
• Exact Half-BPS Flux Solutions in M-theory with $D(2,1;c^{\prime };0{)}^2$ Symmetry: Local Solutions
• M2-KK6 System in ABJM Theory : Fuzzy $S^3$ and Wrapped KK6
• BPS solutions in ABJM theory and Maximal Super Yang-Mills on RxS^2
• Aspects of Supersymmetry in Multiple Membrane Theories
• Deformation of half-BPS solution in ABJM model and instability of supermembrane
• KK6 from M2 in ABJM
• BPS Vortices, $Q$-balls, and $Q$-vortices in $\mathcal{N}=6$} Chern-Simons Matter Theory