The Spectrum of Boundary States in Symmetric Orbifolds

TL;DR

This paper constructs all boundary states respecting the extended chiral algebra in symmetric orbifolds, analyzes their holographic properties, and discusses implications for AdS/BCFT correspondence.

Contribution

It provides an explicit construction of boundary states in symmetric orbifolds and explores their holographic relevance at large N.

Findings

Boundary states are labeled by seed boundary states and symmetric group representations.

Boundary entropy and one-point functions are computed at large N.

Some boundary states correspond to End-of-the-World branes in the bulk.

Abstract

We give an explicit construction of the complete set of Cardy boundary states that respect the extended chiral algebra for symmetric product orbifolds. The states are labelled by a choice of seed theory boundary states as well as a choice of representations of the symmetric group. At large $N$, we analyze the BCFT data which is relevant for holography, namely the boundary entropy and the one-point functions of single-trace operators. In some cases, typical boundary states are compatible with a bulk description in terms of an End-of-the-World brane along with backreacted matter fields. We discuss the significance of these results for the AdS/BCFT correspondence.