Integrable Boundary States from Maximal Giant Gravitons in ABJM Theory

TL;DR

This paper explores the integrability of boundary states in ABJM theory, showing that only specific giant gravitons yield integrable matrix product states, with implications for understanding boundary conditions in supersymmetric gauge theories.

Contribution

It identifies conditions under which boundary states from giant gravitons in ABJM theory are integrable, highlighting the special role of maximal giant gravitons.

Findings

Matrix product states are integrable only for two special giant gravitons.

Maximal giant gravitons produce integrable boundary states.

Extension to more general boundary states analyzed.

Abstract

We investigate the integrability of the boundary state arising from the subdeterminant operators in the alternating SU(4) spin chain in ABJM theory. Our findings show that the resulting matrix product states are only integrable for two special giant gravitons, including the maximal giant graviton. Furthermore, we extend our analysis to more general boundary states.