2009/06/19 by Andreas Gustavsson, Gustavsson, Andreas, Soo-Jong Rey +1 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.0906.3568
openalex publication_date 2009/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The ABJM theory refers to superconformal Chern-Simons-matter theory with product gauge group U(L)xU(R) and level +k, -k, respectively. The theory is a candidate for worldvolume dynamics of M2-branes sitting at C(4)/Z(k)k. By utilizing monopole operators, we prove that ABJM theory gets enhanced N=8 supersymmetry and SO(8) R-symmetry at Chern-Simons levels k=1,2. We first show that the ABJM Lagrangian can be written in a manifestly SO(8) invariant form up to certain extra terms. We then show that upon integrating out Chern-Simons gauge fields these extra terms vanish precisely at levels k=1,2. Utilizing monopole operators at these levels, we identify new N=2 supersymmetry. We demonstrate that they combine with the manifest N=6 supersymmetry to close on-shell on N=8 supersymmetry. We finally show that the ABJM scalar potential is SO(8) invariant.