Integrable domain walls in ABJM theory

Abstract

One-point functions of local operators are studied, at weak and strong coupling, for the ABJM theory in the presence of a 1/2 BPS domain wall. In the underlying quantum spin chain the domain wall is represented by a boundary state which we show is integrable yielding a compact determinant formula for one-point functions of generic operators.

String integrability of the ABJM defect

“…Very recently, strong evidence suggesting the integrability of the ABJM domain wall was found [22]. In particular, the authors of [22] were able to show that the boundary state of the ABJM domain wall satisfies the integrable quench criteria ( 2) and ( 3), to lowest order in perturbation theory and bond dimension.…”

“…Very recently, strong evidence suggesting the integrability of the ABJM domain wall was found [22]. In particular, the authors of [22] were able to show that the boundary state of the ABJM domain wall satisfies the integrable quench criteria ( 2) and ( 3), to lowest order in perturbation theory and bond dimension. The scalar sector of their closed-form determinant formula agrees with an overlap formula for the alternating su(4) spin chain that was derived in [23] and proposed to be relevant for ABJM theory.…”