Quaternions and M(atrix) theory in spaces with boundaries

1996/12/18 by Luboš Motl, Lubos Motl, Motl, Lubos · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9612198

plain LaTeX, 15 pages, 1st revision: references, school info and notes added (real matrix case, Mobius membranes and so on...) 2nd revision: notes on originators of ideas

openalex publication_date 1996/12/18 · arxiv created 1997/01/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A proposal for the matrix model formulation of the M-theory on a space with a boundary is given. A general machinery for modding out a symmetry in M(atrix) theory is used for a Z₂ symmetry changing the sign of the X₁ coordinate. The construction causes the elements of matrices to be equivalent to real numbers or quaternions and the symmetry U(2N) of the original model is reduced to O(2N) or USp(2N)=U(N,H). We also show that membranes end on the boundary of the spacetime correctly in this construction.

Citations

• Proposals on nonperturbative superstring interactions

Cited by

• Heterotic String Sigma Models: Discrete Light Cone Quantization and Its Current-Current Deformation
• Matrix regularization of an open supermembrane: Towards M-theory five-branes via open supermembranes

Related

• The M(atrix) model of M-theory
• Some Classical Solutions of Membrane Matrix Model Equations
• Comments, Questions and Proposal of a Topological M(atrix) Theory
• From Wrapped Supermembrane to M(atrix) Theory From Wrapped Supermembrane to M(atrix) Theory
• Supermembranes and M(atrix) Theory