BLG-motivated Lagrangian formulation for the chiral two-form gauge field in D=6 and M5-branes
arXiv:0907.4596 · doi:10.1103/PhysRevD.80.086008
Abstract
We reveal non-manifest gauge and SO(1,5) Lorentz symmetries in the Lagrangian description of a six-dimensional free chiral field derived from the Bagger-Lambert-Gustavsson model in arXiv:0804.3629 and make this formulation covariant with the use of a triplet of auxiliary scalar fields. We consider the coupling of this self-dual construction to gravity and its supersymmetrization. In the case of the non-linear model of arXiv:0805.2898 we solve the equations of motion of the gauge field, prove that its non-linear field strength is self-dual and find a gauge-covariant form of the non-linear action. Issues of the relation of this model to the known formulations of the M5-brane worldvolume theory are discussed.
1+30 pages, v2: added subsection on comparison of different chiral-field actions, clarifications and references
References in corpus (11)
- Gauge Symmetry and Supersymmetry of Multiple M2-Branes
- Algebraic structures on parallel M2-branes
- Modeling Multiple M2's
- Holographic Action for the Self-Dual Field
- M-theory branes and their interactions
- Towards the Quantum Geometry of the M5-brane in a Constant C-Field from Multiple Membranes
- Light-cone M5 and multiple M2-branes
- Topological branes, p-algebras and generalized Nahm equations
- SDiff Gauge Theory and the M2 Condensate
- Type II Actions from 11-Dimensional Chern-Simons Theories
- String solitons in the M5-brane worldvolume with a Nambu-Poisson structure and Seiberg-Witten map
Cited by in corpus (11)
- n-ary algebras: a review with applications
- Light-Front Higher-Spin Theories in Flat Space
- On p-form gauge theories and their conformal limits
- A Non-Abelian Self-Dual Gauge Theory in 5+1 Dimensions
- A Concise Review on M5-brane in Large C-Field Background
- An associative star-three-product and applications to M two/M five-brane theory
- String solitons in the M5-brane worldvolume with a Nambu-Poisson structure and Seiberg-Witten map
- Aspects of Effective Theory for Multiple M5-Branes Compactified On Circle
- Aspects of Supersymmetry in Multiple Membrane Theories
- Nonlinear chiral forms in the Sen formulation
- Mass generation for Self-dual Gauge Fields via Topologically Coupling