String junctions suspended between giants

TL;DR

This paper constructs and analyzes string junction solutions suspended between giant gravitons in AdS5×S5, extending to more general geometries, and explores their supersymmetry and minimization properties.

Contribution

It introduces new string junction solutions between giant gravitons in AdS5×S5 and generalizes to LLM geometries, linking them to supersymmetry algebra extensions.

Findings

Junctions are BPS and charged under a central supersymmetry extension.

Mass and shape are independent of the junction's angular momentum Q.

Solutions solve a minimization problem similar to Coulomb branch of N=4 SYM.

Abstract

We construct $(p,q)$ string junction solutions suspended between both sphere and AdS giant gravitons in $AdS_5\times S^5$. Our results extend easily to more general half BPS geometries of LLM type. These carry angular momentum in the directions of the worldvolume of the giant gravitons. We argue that these are charged under a central extension of the supersymmetry algebra similar to the one that has appeared in the works of Beisert for the ${\cal N}=4 $ spin chain. We also argue that they are BPS with respect to this central extension. We show that apart from some kinematical details, the junctions end up solving the same minimization problem that appears in the Coulomb branch of ${\cal N}=4 $ SYM. Their mass and shape is independent of the angular momentum $Q$ that the junction carries.