Solitons and giants in matrix models

Details Solitons and giants in matrix models Solitons and giants in matrix models

2006-08-09

arxiv.org/abs/hep-th/0608057v2

JHEP0612:006,2006

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, JHEP cls; v2: final version to appear in JHEP, 2 references added, physical motivation and interpretation clarified

Scientific paper

10.1088/1126-6708/2006/12/006

We present a method for solving BPS equations obtained in the collective-field approach to matrix models. The method enables us to find BPS solutions and quantum excitations around these solutions in the one-matrix model, and in general for the Calogero model. These semiclassical solutions correspond to giant gravitons described by matrix models obtained in the framework of AdS/CFT correspondence. The two-field model, associated with two types of giant gravitons, is investigated. In this duality-based matrix model we find the finite form of the $n$-soliton solution. The singular limit of this solution is examined and a realization of open-closed string duality is proposed.

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