Giant Gravitons Intersecting at Angles from Integrable Spin Chains

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.

String junctions suspended between giants

“…It would be worthwhile to understand the precise decomposition of zero modes, since this can be compared with the low energy effective theory on the worldsheet of the giant gravitons. This information encodes the corresponding boundary conditions that one would expect for the open spin chain arising from N = 4 Yang-Mills [30,40,41]. In principle, one should be able to reproduce the position of the junctions and the lines of instability from a spin chain computation along the lines of [42] (see also [43][44][45] and to higher loop orders [9]).…”

Multi-matrix correlators and localization

“…It would be interesting to construct multi-matrix analogues of the generating functions found in [21] for determinant operators. This would help in constructing the precise operators dual to intersecting giants [52], and particularly in understanding their integrable boundary states [53].…”

Generating functions for giant graviton bound states

“…A creative solution to this problem was put in place in [32,33] for strings attached to single sphere giant gravitons, and then extended to more general brane bound states in [34,35]. By now, a compelling physical picture is evident [36][37][38][39][40][41].…”