Longitudinal 5-branes as 4-spheres in Matrix theory

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...

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Bibliographic Details
Published in:arXiv.org 1998-02
Main Authors: Castelino, Judith, Lee, Sangmin, Taylor, Washington
Format: Article
Language:English
Subjects:
Branes
Gravitons
Infinite series
M theory
Matrix theory
Physical properties
Supergravity
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.9712105