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Longitudinal 5-branes as 4-spheres in Matrix theory

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arxiv hep-th/9712105 v2 pith:M7ZOT54M submitted 1997-12-10 hep-th

Judith Castelino , Sangmin Lee , Washington Taylor This is my paper · ORCID
classification hep-th
keywords constructionbranespropertiesgeometryleadinglongitudinalmatricesmatrix
verification ladder T0 review T1 audit T2 compute T3 formal
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We present a construction in Matrix theory of longitudinal 5-branes whose geometry in transverse space corresponds to a 4-sphere. We describe these branes through an explicit construction in terms of N*N matrices for a particular infinite series of values of N. The matrices used in the construction have a number of properties which can be interpreted in terms of the 4-sphere geometry, in analogy with similar properties of the SU(2) generators used in the construction of a spherical membrane. The physical properties of these systems correspond with those expected from M-theory; in particular, these objects have an energy and a leading long-distance interaction with gravitons which agrees with 11D supergravity at leading order in N.

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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. A Novel Matrix Model for the M5-brane?

    hep-th 2026-07 conditional novelty 8.0 of 10

    A maximally supersymmetric formal extension of BFSS by a 5-bracket exists once the 2-bracket structure constants are promoted to a dynamical self-dual field subject to Filippov and BPS quadratic constraints.

  2. Quantum spacetime and quantum fluctuations in the IKKT model at weak coupling

    hep-th 2026-05 unverdicted novelty 4.0 of 10

    In the IKKT matrix model, quantum fluctuations are negligible compared to noncommutativity scales at weak coupling for Moyal-Weyl and covariant quantum spacetime backgrounds, justifying semi-classical emergent geometry.

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