M5-brane Solution in ABJM Theory and Three-algebra
arXiv:0909.3101 · doi:10.1088/1126-6708/2009/12/059
Abstract
We construct a new classical solution in the ABJM theory corresponding to M5-branes with a non-zero self-dual three form flux. This is an M-theory lift of the D4-brane solution expressed as a non-commutative plane in the three dimensional super Yang-Mills theory. We discuss that our solution is closely related with the three-algebra. We show that the corresponding configuration of the M5-brane satisfies the equations of motion in the single M5-brane action. We find the agreement between the tension of the M5-brane solution in the ABJM action and the one computed from the single M5-brane action.
31 pages; v2: references added, Appendices added for fixing normalizations; v4: version to appear in JHEP
References in corpus (22)
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Gauge Symmetry and Supersymmetry of Multiple M2-Branes
- Algebraic structures on parallel M2-branes
- Modeling Multiple M2's
- M2 to D2
- On the moduli space of elliptic Maxwell-Chern-Simons theories
- A Massive Study of M2-brane Proposals
- On M5-branes in N=6 Membrane Action
- The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories
- Membranes on Calibrations
- A New N=4 Membrane Action via Orbifold
- BLG-motivated Lagrangian formulation for the chiral two-form gauge field in D=6 and M5-branes
- M2-M5 Systems in N=6 Chern-Simons Theory
- Vortex-type Half-BPS Solitons in ABJM Theory
- Non-Abelian Vortices at Weak and Strong Coupling in Mass Deformed ABJM Theory
- M-Theory Superalgebra From Multiple Membranes
- Vortices, Q-balls and Domain Walls on Dielectric M2-branes
- N=6 Membrane Worldvolume Superalgebra
- BPS Vortices in Non-relativistic M2-brane Chern-Simons-matter Theory
- Time-dependent and Non-BPS Solutions in N=6 Superconformal Chern-Simons Theory
- Worldvolume Superalgebra Of BLG Theory With Nambu-Poisson Structure
- Toward a Proof of Montonen-Olive Duality via Multiple M2-branes
Cited by in corpus (13)
- Boundary Conditions for Interacting Membranes
- Non-Abelian Vortices in Supersymmetric Gauge Field Theory via Direct Methods
- Large N behavior of mass deformed ABJM theory
- On Effective Action of Multiple M5-branes and ABJM Action
- Nambu Bracket for M Theory
- A Monopole Instanton-Like Effect in the ABJM Model
- Non-Linearly Extended Self-Dual Relations From The Nambu-Bracket Description Of M5-Brane In A Constant C-Field Background
- On Non-linear Action for Gauged M2-brane
- Classification of BPS Objects in N = 6 Chern-Simons Matter Theory
- M5-branes in ABJM theory and Nahm equation
- Integrability of BPS equations in ABJM theory
- Five-dimensional SYM from undeformed ABJM
- Generalized BIons in M-theory