Modifications to holographic entanglement entropy in warped CFT
A bstractIn [1] it was observed that asymptotic boundary conditions play an important role in the study of holographic entanglement beyond AdS/CFT. In particular, the Ryu Takayanagi proposal must be modified for warped AdS3 (WAdS3) with Dirichlet boundary conditions. In this paper, we consider AdS3 and WAdS3 with Dirichlet Neumann boundary conditions. The conjectured holographic duals are warped conformal field theories (WCFTs) featuring a Virasoro Kac Moody algebra. We provide a holographic calculation of the entanglement entropy and Renyi entropy using AdS3/WCFT and WAdS3/WCFT dualities. Our bulk results are consistent with the WCFT results derived by Castro Hofman Iqbal using the Rindler method. Comparing with [1] we explicitly show that the holographic entanglement entropy is indeed affected by boundary conditions. Both results differ from the Ryu Takayanagi proposal, indicating new relations between spacetime geometry and quantum entanglement for holographic dualities beyond AdS/CFT.