Covariant Formulation of M-Theory

Abstract

We propose the bosonic part of an action that defines M-theory. It possesses manifest SO(1, 10) symmetry and constructed based on the Lorentzian 3-algebra associated with U(N) Lie algebra. From our action, we derive the bosonic sector of BFSS matrix theory and IIB matrix model in the naive large N limit by taking appropriate vacua. We also discuss an interaction with fermions.

9 pages, references added, minor changes, published version

References in corpus (6)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Janus field theories from multiple M2 branes
• Supermatrix Models
• Perturbative Vacua from IIB Matrix Model

Cited by in corpus (9)

• Quantized Nambu-Poisson Manifolds in a 3-Lie Algebra Reduced Model
• Lie 2-algebra models
• Model of M-theory with Eleven Matrices
• Supersymmetry and DLCQ Limit of Lie 3-algebra Model of M-theory
• Three-Algebra BFSS Matrix Theory
• Extension of IIB Matrix Model by Three-Algebra
• Matrix Quantization of Classical Nambu Brackets and Super $p$-Branes
• Four-algebraic extension of the IIB matrix model
• A class of hermitian generalized Jordan triple systems and Chern-Simons gauge theory