Giant Gravitons Intersecting at Angles from Integrable Spin Chains

TL;DR

This paper explores the integrable spin chain models describing open strings between intersecting giant gravitons at angles, revealing how their spectra and supersymmetry properties differ from flat space D-brane intersections.

Contribution

It introduces a novel analysis of non-diagonal open boundary conditions in spin chains from holography, connecting integrable models to intersecting giant gravitons with arbitrary angles.

Findings

Reproduces the expected spectrum near intersections.

Shows that intersecting giant gravitons do not always preserve supersymmetry.

Identifies conditions for the existence of a simple ferromagnetic ground state.

Abstract

We study integrable non-diagonal open boundary conditions for spin chains arising from holographic gauge theories. Their dual description is in terms of open strings stretching between giant gravitons intersecting at arbitrary angles inside spheres or projective spaces. By studying properties of their ground and low-lying states we reproduce the expected spectrum near the intersections. Unlike the case of intersecting D-branes in flat space, intersecting giant gravitons related by $SU(N)$ rotations do not always preserve an additional supersymmetry. We quantify this lack of enhancement by whether or not there exists a simple ferromagnetic ground state for the open spin chain.