
TL;DR
This paper introduces a covariant bosonic action for M-theory with manifest SO(1,10) symmetry, deriving related matrix models and discussing fermionic interactions, advancing the theoretical framework of M-theory.
Contribution
It presents a new covariant bosonic action for M-theory based on Lorentzian 3-algebra, connecting to matrix models and including fermionic interactions.
Findings
Derived bosonic sector of BFSS matrix theory
Derived bosonic sector of IIB matrix model
Discussed fermionic interactions
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.
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