Light-cone M5 and multiple M2-branes

Abstract

We present the light-cone gauge fixed Lagrangian for the M5-brane; it has a residual `exotic' gauge invariance with the group of 5-volume preserving diffeomorphisms, SDiff(5), as gauge group. For an M5-brane of topology R2 x M3, for closed 3-manifold M3, we find an infinite tension limit that yields an SO(8)-invariant (1+2)-dimensional field theory with `exotic' SDiff(3) gauge invariance. We show that this field theory is the Carrollian limit of the Nambu bracket realization of the `BLG' model for multiple M2-branes.

21 pages, revised to clarify some points, to include a discussion of SDiff gauge invariance, and to add two references

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• Modeling Multiple M2's
• Comments on Multiple M2-branes
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Cited by in corpus (33)

• n-ary algebras: a review with applications
• On p-form gauge theories and their conformal limits
• Generation of Matrix Models by W-operators
• Multiple Membranes in M-theory
• ABJM models in N=3 harmonic superspace
• The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories
• Taking off the square root of Nambu-Goto action and obtaining Filippov-Lie algebra gauge theory action
• BLG-motivated Lagrangian formulation for the chiral two-form gauge field in D=6 and M5-branes
• Lorentzian Lie (3-)algebra and toroidal compactification of M/string theory
• SDiff Gauge Theory and the M2 Condensate
• The M5-brane action revisited
• M-brane bound states and the supersymmetry of BPS solutions in the Bagger-Lambert theory
• A No-Go Theorem for M5-brane Theory
• M-Theory and Maximally Supersymmetric Gauge Theories
• M5 brane from mass deformed BLG theory
• Three-algebra for supermembrane and two-algebra for superstring
• Lessons from M2's and Hopes for M5's
• Non-Lorentzian RG flows and Supersymmetry
• Nambu-Lie 3-Algebras on Fuzzy 3-Manifolds
• Non-Lorentzian Field Theories with Maximal Supersymmetry and Moduli Space Dynamics
• Non-Linearly Extended Self-Dual Relations From The Nambu-Bracket Description Of M5-Brane In A Constant C-Field Background
• String solitons in the M5-brane worldvolume with a Nambu-Poisson structure and Seiberg-Witten map
• Supersymmetric reduced models with a symmetry based on Filippov algebra
• Abelian Vortex in Bagger-Lambert-Gustavsson Theory
• M2-Branes And The (2,0) Superalgebra
• Supersymmetric Soliton $\sigma$-models from Non-Lorentzian Field Theories
• Spontaneous breaking of nilpotent symmetry in boundary BLG theory
• Higher spins from Nambu-Chern-Simons theory
• A N=8 action for multiple M2-branes with an arbitrary number of colors
• Cartan-Weyl 3-algebras and the BLG Theory II: Strong-Semisimplicity and Generalized Cartan-Weyl 3-algebras
• 3d CFT and Multi M2-brane Theory on RxS^2
• Fuzzy Kaluza-Klein induced M2's from a single M5
• Janus Field Theories from Non-Linear BF Theories for Multiple M2-Branes