The Zamolodchikov-Faddeev algebra for open strings attached to giant gravitons

TL;DR

This paper extends the Zamolodchikov-Faddeev algebra framework to open strings attached to giant gravitons in AdS5×S5, deriving boundary S-matrices satisfying the boundary Yang-Baxter equation.

Contribution

It introduces a new algebraic formulation for open strings with giant gravitons, generalizing previous models to include boundary effects.

Findings

Derived boundary S-matrices satisfying Yang-Baxter equation

Extended algebraic structures to open string boundary conditions

Provided a consistent mathematical framework for giant graviton interactions

Abstract

We extend the Zamolodchikov-Faddeev algebra for the superstring sigma model on $AdS_{5}\times S^{5}$, which was formulated by Arutyunov, Frolov and Zamaklar, to the case of open strings attached to maximal giant gravitons, which was recently considered by Hofman and Maldacena. We obtain boundary $S$-matrices which satisfy the standard boundary Yang-Baxter equation.