Simple holographic duals to boundary CFTs

TL;DR

This paper introduces new half-BPS solutions in six-dimensional supergravity, interpreted as brane configurations, which serve as simple holographic duals to boundary conformal field theories, expanding the landscape of AdS/CFT correspondence.

Contribution

The authors relax regularity conditions to discover two new solutions, extbackslash kap extbackslash and extbackslash funnel, interpreted as brane solutions with specific world volumes, providing simple holographic duals to boundary CFTs.

Findings

extbackslash kap extbackslash solutions as duals to 2D BCFTs

Analytic construction of solutions with a single AdS3 x S3 region

Calculation of holographic boundary entropy supporting BCFT duality

Abstract

By relaxing the regularity conditions imposed in arXiv:1107.1722 on half-BPS solutions to six-dimensional Type~4b supergravity, we enlarge the space of solutions to include two new half-BPS configurations, which we refer to as the \kap\ and the \funnel. We give evidence that the \kap\ and \funnel\ can be interpreted as fully back-reacted brane solutions with respectively $AdS_2$ and $AdS_2\times S^2$ world volumes. \kap\ and \funnel\ solutions with a single asymptotic $AdS_3 \times S^3$ region are constructed analytically. We argue that \kap\ solutions provide simple examples of holographic duals to boundary CFTs in two dimensions and present calculations of their holographic boundary entropy to support the BCFT dual picture.