Thermodynamic behavior of fuzzy membranes in ppwave matrix model [rapid communication]
Abstract
We discuss a twobody interaction of membrane fuzzy spheres in a ppwave matrix model at finite temperature by considering the system that a fuzzy sphere rotates with a constant radius r around the other one sitting at the origin in the SO (6) symmetric space. This system of two fuzzy spheres is supersymmetric at zero temperature and there is no interaction between them. Once the system is coupled to the heat bath, supersymmetries are completely broken and nontrivial interaction appears. We numerically show that the potential between fuzzy spheres is attractive and so the rotating fuzzy sphere tends to fall into the origin. The analytic formula of the free energy is also evaluated in the large N limit. It is well approximated by a polylog function.
 Publication:

Physics Letters B
 Pub Date:
 October 2005
 DOI:
 10.1016/j.physletb.2005.09.007
 arXiv:
 arXiv:hepth/0507029
 Bibcode:
 2005PhLB..627..188S
 Keywords:

 ppwave matrix model;
 Fuzzy sphere;
 Giant graviton;
 Thermodynamics;
 High Energy Physics  Theory
 EPrint:
 13 pages, 4 figures, LaTeX