Thermodynamic Behavior of Fuzzy Membranes in PP-Wave Matrix Model
arXiv:hep-th/0507029 · doi:10.1016/j.physletb.2005.09.007
Abstract
We discuss a two-body interaction of membrane fuzzy spheres in a pp-wave matrix model at finite temperature by considering 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 non-trivial 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.
13 pages, 4 figures, LaTeX
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Cited by in corpus (8)
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- Thermal D-brane boundary states from type IIB Green-Schwarz superstring in pp-wave background
- Smearing Effect in Plane-Wave Matrix Model
- Point-Like Graviton Scattering in Plane-Wave Matrix Model
- Probing Smearing Effect by Point-Like Graviton in Plane-Wave Matrix Model