Solitons and giants in matrix models

Abstract

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.

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

References in corpus (2)

• Notes on Collective Field Theory of Matrix and Spin Calogero Models
• BPS Operators in N=4 SYM: Calogero Models and 2D Fermions

Cited by in corpus (4)

• Homolumo Gap and Matrix Model
• Fluctuations around Periodic BPS-Density Waves in the Calogero Model
• Solutions of coupled BPS equations for two-family Calogero and matrix models
• Solitons in the duality-based matrix model