Higher-dimensional geometries from matrix brane constructions

@article{Ho2002HigherdimensionalGF,
  title={Higher-dimensional geometries from matrix brane constructions},
  author={P. M. Ho and Sanjaye Ramgoolam},
  journal={Nuclear Physics},
  year={2002},
  volume={627},
  pages={266-288}
}
Higher dimensional geometries related to fuzzy odd-dimensional spheres
TLDR
The detailed form of the generators and relations for the matrix algebras related to the fuzzy three-spheres suggests matrix actions which admit the fuzzy spheres as solutions which are compared with the BFSS, IKKT and BMN matrix models.
Non-commutative geometry of 4-dimensional quantum Hall droplet
Nonabelian gauge field and dual description of fuzzy sphere
In matrix models, higher dimensional D-branes are obtained by imposing a noncommutative relation to coordinates of lower dimensional D-branes. On the other hand, a dual description of this
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High-Dimensional Quantum Hall Effect in String Theory
We construct a string theory realization of the 4+1d quantum Hall effect recently described by Zhang and Hu. The string theory picture contains coincident D4-branes forming an S4 and having D0-branes
Non-Abelian BIonic Brane Intersections
withm > 2, it turns out that the matrix algebras contain more representations than is neededto describe functions on the sphere. In fact, in the classical limit (limit of large matrices),the matrix
Noncommutative geometry, quantum effects and DBI-scaling in the collapse of D0-D2 bound states
We study fluctuations of time-dependent fuzzy two-sphere solutions of the non-abelian DBI action of D0-branes, describing a bound state of a spherical D2-brane with N D0-branes. The quadratic action
On Time-Dependent Collapsing Branes and Fuzzy Odd-Dimensional Spheres
TLDR
It is shown that the fuzzy-S3 and S5 provide time-dependent solutions to the matrix model of D0-branes and its DBI generalisation, and finds analytic solutions describing the time- dependent radius, in terms of Jacobi elliptic functions.
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