Model of M-theory with Eleven Matrices

Understand

We show that an action of a supermembrane in an eleven-dimensional spacetime with a semi-light-cone gauge can be written only with Nambu-Poisson bracket and an invariant symmetric bilinear form under an approximation.

• Thus, the action under the conditions is manifestly covariant under volume preserving diffeomorphism even when the world-volume metric is flat.
• Next, we propose two 3-algebraic models of M-theory which are obtained as a second quantization of an action that is equivalent to the supermembrane action under the approximation.
• The second quantization is defined by replacing Nambu-Poisson bracket with finite-dimensional 3-algebras' brackets.