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 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