Abstract
We review developments in the theory of multiple, parallel membranes in M-theory. After discussing the inherent difficulties with constructing a maximally supersymmetric lagrangian with the appropriate field content and symmetries, we introduce 3-algebras and show how they allow for such a description. Different choices of 3-algebras lead to distinct classes of 2 + 1 dimensional theories with varying degrees of supersymmetry. We then demonstrate that these theories are equivalent to conventional superconformal Chern-Simons gauge theories at level k, but with bifundamental matter. Analysing the physical properties of these theories leads to the identification of a certain subclass of models with configurations of M2-branes on Z(k) orbifolds. These models give rise to a whole new gauge/gravity duality in the form of an AdS(4)/CFT3 correspondence. We also discuss mass deformations, higher derivative corrections, and the possibility of extracting information about M5-brane physics.
| Original language | English |
|---|---|
| Article number | N/A |
| Pages (from-to) | 1-100 |
| Number of pages | 100 |
| Journal | Physics Reports |
| Volume | 527 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jun 2013 |
Keywords
- String theory
- M-theory
- Branes
- BORN-INFELD ACTION
- 3-DIMENSIONAL GAUGE DYNAMICS
- SIMONS HIGGS SYSTEMS
- M2-M5 BRANE SYSTEM
- M-THEORY 5-BRANE
- CHERN-SIMONS
- STRING THEORY
- P-BRANES
- 11-DIMENSIONAL SUPERGRAVITY
- EXTENDED SUPERSYMMETRY