Longitudinal 5-branes as 4-spheres in Matrix theory

  title={Longitudinal 5-branes as 4-spheres in Matrix theory},
  author={Judith Castelino and Sangmin Lee and Washington Taylor},
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… CONTINUE READING