M5-brane
String theory |
---|
Fundamental objects |
Perturbative theory |
Non-perturbative results |
Phenomenology |
Mathematics |
In
Upon
The worldvolume theory on a stack of M5-branes at low energies is the
The PST model provides a Green-Schwarz description of the worldvolume physics of a single M5-brane.[4] On the other hand, direct knowledge of the non-Abelian case, for instance via a Lagrangian description, is not presently available, due to a variety of technical difficulties. Since superconformal symmetry is only available in 6 or lower spacetime dimensions, this maximally supersymmetric theory may be used to derive an infinite number of other theories. Furthermore, via the AdS/CFT correspondence, the M5-brane worldvolume theory can be used to study M-theory on asymptotically Anti-de Sitter (AdS) spacetimes.
Despite the lack of a Lagrangian formulation, brane constructions provide evidence that the M5-brane worldvolume theory can support four- and two-codimensional solitonic excitations, namely self-dual strings and three-branes.
References
- ^ Gueven, Rahmi (1992). "Black p-brane solutions of D = 11 supergravity theory". Physics Letters B. 276 (49).
- ^ Witten, Edward (1997). "Five-brane effective action in M-theory". Journal of Geometry and Physics. 22 (2): 103–133.
- ^ Ferrara, Sergio; Kehagias, Alexandros; Partouche, Hervé; Zaffaroni, Alberto (1998). "Membranes and Fivebranes with Lower Supersymmetry and their AdS Supergravity Duals". Physics Letters B. 431: 42–48.
- ^ Pasti, Paolo; Sorokin, Dmitri; Tonin, Mario (1997). "Covariant Action for a D = 11 Five-Brane with the Chiral Field". Physics Letters B. 398: 41.