From Simplified BLG Action to the First-Quantized M-Theory

Abstract

Concise summary of the recent progress in the search for the world-volume action for multiple M2 branes. After a recent discovery of simplified version of BLG action, which is based on the ordinary Lie-algebra structure, does not have coupling constants and extra dynamical fields, attention should be switched to the study of M2 brane dynamics. A viable brane analogue of Polyakov formalism and Belavin-Knizhnik theorem for strings can probably be provided by Palatini formalism for 3d (super)gravity.

6 pages

References in corpus (8)

• Algebraic structures on parallel M2-branes
• Comments on the Bagger-Lambert theory and multiple M2-branes
• Constraining Maximally Supersymmetric Membrane Actions
• M2 to D2 revisited
• Mass-Deformed Bagger-Lambert Theory and its BPS Objects
• Multiple M2-branes and the Embedding Tensor
• Explaining the Pure Spinor Formalism for the Superstring
• On the structure of k-Lie algebras

Cited by in corpus (23)

• The SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory
• On Type IIA Penrose Limit and N=6 Chern-Simons Theories
• Generation of Matrix Models by W-operators
• An N=1 Superfield Action for M2 branes
• Multiple Membranes from Gauged Supergravity
• A New N=4 Membrane Action via Orbifold
• Unitary Integrals and Related Matrix Models
• Classification of the BPS states in Bagger-Lambert Theory
• Coulomb Branch of the Lorentzian Three Algebra Theory
• Kac-Moody Extensions of 3-Algebras and M2-branes
• Light-cone M5 and multiple M2-branes
• Holographic Supergravity Dual to Three Dimensional N=2 Gauge Theory
• Topological branes, p-algebras and generalized Nahm equations
• $w_{\infty }$ 3-algebra
• Towards Holographic Gravity Dual of N=1Superconformal Chern-Simons Gauge Theory
• A note on Quantum Aspects of Multiple Membranes
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• D2 to M2 Procedure for D2-Brane DBI Effective Action
• Bagger-Lambert theory on an orbifold and its relation to Chern-Simons-matter theories
• On thermodynamics of N=6 superconformal Chern-Simons theories at strong coupling
• A note on interpreting N M2 branes
• Nambu-Poisson Bracket and M-Theory Branes Coupled to Antisymmetric Fluxes
• (p+1)-Algebra for Super p-Brane: the Nambu Bracket Reformulation