Supersymmetric Mixed Boundary Conditions in AdS$_2$ and DCFT$_1$ Marginal Deformations

TL;DR

This paper explores supersymmetric mixed boundary conditions in AdS$_2$ to describe a family of Wilson loops in ABJM theory, identifying a specific boundary condition as the dual to this interpolating family through holographic analysis.

Contribution

It introduces a new class of boundary conditions in AdS$_2$ that correspond to an exactly marginal deformation of Wilson loops in ABJM theory, providing a holographic dual description.

Findings

Identifies a boundary condition dual to the interpolating Wilson loops.

Shows this boundary condition corresponds to an exact marginal deformation.

Supports the duality through holographic correlators and vacuum energy analysis.

Abstract

We consider different supersymmetric mixed boundary conditions for scalar and fermionic fields in $AdS_2$, searching for the dual description of a family of interpolating Wilson Loops in ABJM theory. The family, which interpolates between the bosonic 1/6 BPS loop and the 1/2 BPS loop, can be thought of as an exact marginal deformation in a defect CFT$_1$. Confronting this property against holographic correlators and vacuum energy corrections singles out a particular boundary condition which we propose as dual to the interpolating family of Wilson loops.