Longitudinal 5-branes as 4-spheres in Matrix theory

Details Longitudinal 5-branes as 4-spheres in Matrix theory Longitudinal 5-branes as 4-spheres in Matrix theory

1997-12-10

arxiv.org/abs/hep-th/9712105v2

Nucl.Phys.B526:334-350,1998

Physics

High Energy Physics

High Energy Physics - Theory

17 pages LaTeX; v2: references added, misleading comment removed from section 3.4, minor typo fixed

Scientific paper

10.1016/S0550-3213(98)00291-0

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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