# DPF2015

4-8 August 2015
America/Detroit timezone

## Spinning the fuzzy sphere

7 Aug 2015, 17:40
20m
East Partition (Alumni Cener)

### East Partition

#### Alumni Cener

Field and String Theory

### 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

### Primary author

Prof. David Berenstein (UCSB)

### Co-authors

Mr Eric Dzienkowski (UCSB) Mr robin Lashof-Regas (UCSB)

### Presentation Materials

 Berenstein_DPF2015.pdf Spinning the Fuzzy Sphere -- original paper link