Solitons and excitations in the duality-based matrix model

Abstract

We analyse a specific, duality-based generalization of the hermitean matrix model. The existence of two collective fields enables us to describe specific excitations of the hermitean matrix model. By using these two fields, we construct topologically non-trivial solutions (BPS solitons) of the model. We find the low-energy spectrum of quantum fluctuations around the uniform solution. Furthermore, we construct the wave functional of the ground state and obtain the corresponding Green function.

13 pages,v2: new solutions constructed, title changed accordingly

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Cited by in corpus (5)

• Solitons and giants in matrix models
• Collective Field Formulation of the Multispecies Calogero Model and its Duality Symmetries
• Comment on "Solitons and excitations in the duality-based matrix model"
• Fluctuations around Periodic BPS-Density Waves in the Calogero Model
• Solutions of coupled BPS equations for two-family Calogero and matrix models