On dielectric membranes

2018

J. High Energ. Phys.

Section: M2-branes On the Space-dependent Background Fluxmentioning

confidence: 99%

Janus ABJM models with mass deformation

2018

J. High Energ. Phys.

“…Despite an overwhelming progress in the understanding of the world-volume action of multiple M2-branes, a little have been done to couple them to the bulk form fields [9,10]. Therefore, it is intriguing to construct the mutual interaction between the three-or six-form fields and the world-volume fields in the context of BLG and ABJM theories.…”

Section: Introductionmentioning

confidence: 99%

Coupling between M2-branes and form fields

Nakajima

et al. 2009

J. High Energy Phys.

In the context of low-energy effective theory of multiple M2-branes, we construct the interaction terms between the world-volume fields of M2-branes and the antisymmetric tensor fields of three-and six-forms. By utilizing the compactification procedure, we show coincidence between the dimensionally reduced coupling and the R-R coupling to D-branes in type II string theory. We also discuss that a cubic term proportional to six-form field reproduces the quartic mass-deformation term in the world-volume theory of multiple M2-branes.

“…Analogous to the WZ-type coupling of D-branes in string theory, in M-theory, the M2-and M5-branes couple to the 3-form and dual 6-form fields in 11-dimensional supergravity. According to the recent development of the world-volume theories for multiple M2-branes, the coupling of M2-branes to the bulk form fields were discussed in the context of both the BLG theory [8,9,10] and the ABJM theory [11,12]. For arbitrary N stacked M2-branes the analyses have been made in the restricted context: Ref.…”

mentioning

confidence: 99%

Interaction between M2-branes and bulk form fields

Nakajima

et al. 2010

J. High Energ. Phys.

We construct the interaction terms between the world-volume fields of multiple M2branes and the 3-and 6-form fields in the context of ABJM theory with U(N )×U(N ) gauge symmetry. A consistency check is made in the simplest case of a single M2-brane i.e., our construction matches the known effective action of M2-brane coupled to antisymmetric 3-form field. We show that when dimensionally reduced, our couplings coincide with the effective action of D2-branes coupled to R-R 3-and 5-form fields in type IIA string theory.We also comment on the relation between a coupling with a specific 6-form field configuration and the supersymmetry preserving mass deformation in ABJM theory.Recently, the Lagrangian descriptions of multiple M2-branes were found in the low energy limit, which are the Bagger-Lambert-Gustavsson(BLG) theory [1, 2] and the Aharony-Bergman-Jafferis-Maldacena(ABJM) theory [3]. The BLG theory, which is equivalent to the ABJM theory with SU(2)×SU(2) gauge group [4], has N = 8 supersymmetry and it is an effective theory of two M2-branes. The ABJM theory with U(N)×U(N) gauge group has N = 6 supersymmetry and it describes the dynamics of N parallel M2-branes sitting at the singularity of a space with Z k orbifold, where k appears as the Chern-Simons level in the theory.Low energy dynamics of D-branes is also depicted by supersymmetric gauge theories, i.e., it is the Dirac-Born-Infeld(DBI) action or the super Yang-Mills theory to the leading order in α ′expansion. In addition, D-branes can couple to the bulk supergravity fields. The bosonic bulk fields include R-R form fields, which couple to the D-branes through Wess-Zumino(WZ)-type action [5,6,7]. In the case of single Dp-brane, the WZ-type coupling is only to the R-R form fields of rank p + 1 or less. For multiple Dp-branes the action can include the couplings to all kinds of R-R form fields [7].