Holographic duals of Boundary CFTs

TL;DR

This paper constructs new exact half-BPS solutions in 6D supergravity with complex boundary structures, proposing their duality to boundary and interface conformal field theories, and analyzing their entanglement and brane interpretations.

Contribution

It introduces a new class of exact supergravity solutions with arbitrary topology, extending the holographic duality to complex boundary CFT configurations.

Findings

Solutions include multiple asymptotic AdS regions and arbitrary genus surfaces.

Constructs both strictly single-valued and U-duality twisted scalar solutions.

Proposes holographic duals to boundary and interface CFTs with entanglement entropy calculations.

Abstract

New families of regular half-BPS solutions to 6-dimensional Type 4b supergravity with $m$ tensor multiplets are constructed exactly. Their space-time consists of $AdS_2 \times S^2$ warped over a Riemann surface with an arbitrary number of boundary components, and arbitrary genus. The solutions have an arbitrary number of asymptotic $AdS_3 \times S^3$ regions. In addition to strictly single-valued solutions to the supergravity equations whose scalars live in the coset $SO(5,m)/SO(5)\times SO(m)$, we also construct stringy solutions whose scalar fields are single-valued up to transformations under the $U$-duality group $SO(5,m;\bZ)$, and live in the coset $SO(5,m;\bZ)\backslash SO(5,m)/SO(5)\times SO(m)$. We argue that these Type 4b solutions are holographically dual to general classes of interface and boundary CFTs arising at the juncture of the end-points of 1+1-dimensional bulk CFTs. We evaluate their corresponding holographic entanglement and boundary entropy, and discuss their brane interpretation. We conjecture that the solutions for which $\Sigma$ has handles and multiple boundaries correspond to the near-horizon limit of half-BPS webs of dyonic strings and three-branes.