Solutions of coupled BPS equations for two-family Calogero and matrix models

Abstract

We consider a large N, two-family Calogero and matrix model in the Hamiltonian, collective-field approach. The Bogomol'nyi limit appears and the solutions to the coupled Bogomol'nyi-Prasad-Sommerfeld equations are given by the static soliton configurations. We find all solutions close to constant and construct exact one-parameter solutions in the strong-weak dual case. Full classification of these solutions is presented.

latex, 15 pages, no figures

References in corpus (3)

• Integrable hydrodynamics of Calogero-Sutherland model: Bidirectional Benjamin-Ono equation
• Solitons and giants in matrix models
• Collective Field Formulation of the Multispecies Calogero Model and its Duality Symmetries

Cited by in corpus (1)

• Fluctuations around Periodic BPS-Density Waves in the Calogero Model