Covariant Formulation of M-Theory II
Matsuo Sato
TL;DR
This paper introduces a supersymmetric model for M-theory based on Lorentzian 3-algebra, unifying various matrix models in the large N limit, and highlighting its symmetry and algebraic structure.
Contribution
It presents a new supersymmetric M-theory model utilizing Lorentzian 3-algebra, deriving BFSS and IIB matrix models as special limits.
Findings
Model possesses SO(1,10) super Poincare symmetry.
Derives BFSS matrix theory in large N limit.
Derives IIB matrix model in large N limit.
Abstract
We propose a supersymmetric model that defines M-theory. It possesses SO(1, 10) super Poincare symmetry and is constructed based on the Lorentzian 3-algebra associated with U(N) Lie algebra. This model is a supersymmetric generalization of the model in arXiv:0902.1333. From our model, we derive BFSS matrix theory and IIB matrix model in the naive large N limit by taking appropriate BPS vacua.
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Taxonomy
TopicsMatrix Theory and Algorithms · Numerical methods for differential equations