The Spectrum of Boundary States in Symmetric Orbifolds

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.

35 pages

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• Constraining braneworlds with entanglement entropy
• Universal Dynamics of Heavy Operators in Boundary CFT${}_2$
• Bounds on gravitational brane couplings and tomography in AdS3 black hole microstates
• Transport across interfaces in symmetric orbifolds
• Holographic complexity: braneworld gravity versus the Lloyd bound
• Radiation, entanglement and islands from a boundary local quench
• Free Fermion Cyclic/Symmetric Orbifold CFTs and Entanglement Entropy
• Symmetric Product Orbifold Universality and the Mirage of an Emergent Spacetime
• Information metric on the boundary
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• Holographic BCFT Spectra from Brane Mergers
• A Defect in AdS3/CFT2 Duality