We construct monopole operators for 3d Yang-Mills-matter theories and Chern-Simons-matter in canonical formalism. In this framework, operators, although as the disorder could be written terms of fundamental fields theory, thus treated same way ordinary operators. study properties constructed theories, transform local with classical conformal dimension $ 0 under action dilation are also covarian...

We generalize the suggestion presented in arXiv:0806.3498 that the 3d N = 8 superconformal SU(N) Chern-Simons-matter theory of Lorentzian Bagger-LambertGustavson type (L-BLG) can be obtained through the scaling limit from N = 6 superconformal U(N) × U(N) Chern-Simons-matter theory of Aharony, Bergman, Jafferis and Maldacena (ABJM) to the case when we study the scaling limit of N = 6 superconfor...

We consider the multiple M2-branes wrapped on a compact Riemann surface and study the arising quantum mechanics by taking the limit where the size of the Riemann surface goes to zero. The IR quantum mechanical models resulting from the BLG-model and the ABJM-model compactified on a torus are N = 16 and N = 12 superconformal gauged quantum mechanics. After integrating out the auxiliary gauge fie...

We construct spinning dual M2 giant gravitons in AdS4 × S7, which generically become 1 16 BPS states, and show that their world-volumes become torii. By taking an orbifold, we obtain spinning dielectric D2-brane configurations in AdS4×CP 3 dual to specific BPS operators in ABJM theory. This reveals a novel mechanism how to give an angular momentum to a dielectric D2-brane. We also find that whe...

We investigate the recently developed theory of multiple membranes. In particular, we consider open membranes, i.e. the theory defined on a membrane world volume with a boundary. We first restrict our attention to the gauge sector of the theory. We obtain a boundary action from the Chern-Simons terms. Secondly, we consider the addition of certain boundary terms to various Chern-Simons theories ...