Integrable domain walls in ABJM theory

TL;DR

This paper investigates one-point functions in ABJM theory with a 1/2 BPS domain wall, demonstrating integrability of the boundary state and deriving a determinant formula for these functions at weak and strong coupling.

Contribution

It introduces an integrable boundary state in the quantum spin chain representation of ABJM theory, providing a new exact formula for one-point functions.

Findings

Boundary state is integrable

Determinant formula for one-point functions derived

Applicable at both weak and strong coupling

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.