Speaker
Prof.
David Berenstein
(UCSB)
Description
We construct various exact analytical solutions of the $SO(3)$ BMN matrix model that correspond to rotating fuzzy
spheres and rotating fuzzy tori. After an appropriate ansatz, we reduce the problem to solving a set of polynomial equations
in $2N$ real variables. These equations have a discrete set of solutions for each value of the angular momentum. We study the phase structure of the solutions for various values of $N$, as well as the large $N$ limit. In this limit the problem reduces to finding periodic solutions of a set of coupled non-linear differential equations with a fixed period. We also study the topology change transition from the sphere to the torus.
| Oral or Poster Presentation | Oral |
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Author
Prof.
David Berenstein
(UCSB)
Co-authors
Mr
Eric Dzienkowski
(UCSB)
Mr
robin Lashof-Regas
(UCSB)