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

TL;DR

This paper classifies BPS states in the ABJM model, linking them to known M-theory objects and showing their reduction to super Yang-Mills configurations, enhancing understanding of supersymmetric solutions.

Contribution

It provides a comprehensive classification of BPS conditions in the ABJM model and connects them to M-theory objects and super Yang-Mills theory.

Findings

BPS configurations correspond to intersecting M-branes and other M-theory objects.

BPS conditions reduce consistently to N=8 super Yang-Mills theory.

Map between eleven-dimensional and ABJM supercharge projections established.

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.