Matrix dynamics of fuzzy spheres

Details Matrix dynamics of fuzzy spheres Matrix dynamics of fuzzy spheres

2001-10-18

arxiv.org/abs/hep-th/0110172v2

JHEP 0201 (2002) 039

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 3 figures, uses JHEP.cls; (v2) references added

Scientific paper

10.1088/1126-6708/2002/01/039

We study the dynamics of fuzzy two-spheres in a matrix model which represents string theory in the presence of RR flux. We analyze the stability of known static solutions of such a theory which contain commuting matrices and SU(2) representations. We find that irreducible as well as reducible representations are stable. Since the latter are of higher energy, this stability poses a puzzle. We resolve this puzzle by noting that reducible representations have marginal directions corresponding to non-spherical deformations. We obtain new static solutions by turning on these marginal deformations. These solutions now have instability or tachyonic directions. We discuss condensation of these tachyons which correspond to classical trajectories interpolating from multiple, small fuzzy spheres to a single, large sphere. We briefly discuss spatially independent configurations of a D3/D5 system described by the same matrix model which now possesses a supergravity dual.

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