Solitons and giants in matrix models

TL;DR

This paper introduces a method to solve BPS equations in matrix models, revealing solutions that correspond to giant gravitons and exploring their quantum excitations within the AdS/CFT framework.

Contribution

A novel method for solving BPS equations in matrix models, enabling analysis of giant gravitons and their quantum excitations, including the finite n-soliton solutions and open-closed string duality.

Findings

Found BPS solutions and quantum excitations in matrix models.

Derived the finite form of the n-soliton solution.

Explored the singular limit and proposed open-closed string duality.

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.