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Quaternions and M(atrix) theory in spaces with boundaries

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arxiv hep-th/9612198 v3 pith:EEWO7LE3 submitted 1996-12-18 hep-th

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classification hep-th
keywords symmetryatrixboundaryconstructionmodelquaternionstheoryboundaries
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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 Z_2 symmetry changing the sign of the X_1 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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Heterotic String Sigma Models: Discrete Light Cone Quantization and Its Current-Current Deformation

    hep-th 2025-05 conditional novelty 7.0 of 10

    The authors build a heterotic nonrelativistic string sigma model, show it defines heterotic string theory in DLCQ via T-duality, and recover the relativistic heterotic string through a current-current deformation.

  2. A Matrix Theory Construction of the IIA/IIB Wall

    hep-th 2026-03 conditional novelty 6.0 of 10

    A lightlike IIA/IIB domain wall is constructed at zero string coupling by gauging (−1)^{F_L} in matrix string theory, turning BPS IIA D0-branes into non-BPS IIB D0-branes.

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