Note on Bulk Reconstruction in AdS${}_3$/WCFT${}_2$

Abstract

The bulk reconstructions in AdS/CFT and its cousins are essential to understand the holographic nature of quantum gravity. In this work, we try to study the bulk reconstruction in the AdS${}_3$/WCFT${}_2$ correspondence. After deriving the bulk-boundary propagator, which is different from the usual one in AdS/CFT, we define the bulk proto-scalar field by using the Virasoro-Kac-Moody symmetry in two different ways. One is to impose the bulk primary conditions on the field and construct the field algebraically. The other is to use the bulk-boundary vacuum OPE block, which can be read by applying the diffeomorphism preserving the CSS boundary conditions. Two approaches lead to consistent picture.

arXiv comment20 pages

References in corpus (38)

• Gauge Theory Correlators from Non-Critical String Theory
• The dS/CFT Correspondence
• Black Hole Entropy from Near-Horizon Microstates
• The Kerr/CFT Correspondence
• Holographic representation of local bulk operators
• Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
• Warped AdS_3 Black Holes
• Local bulk operators in AdS/CFT: a boundary view of horizons and locality
• Virasoro Conformal Blocks and Thermality from Classical Background Fields
• AdS Dynamics from Conformal Field Theory
• Entanglement Entropy at Large Central Charge
• Warped Conformal Field Theory
• New Boundary Conditions for AdS3
• Soft Heisenberg hair on black holes in three dimensions
• Chiral Scale and Conformal Invariance in 2D Quantum Field Theory
• Most general AdS_3 boundary conditions
• Warped Conformal Field Theory as Lower Spin Gravity
• Enhanced asymptotic symmetry algebra of AdS3
• Time evolution of entanglement entropy from a pulse
• On short interval expansion of Rényi entropy
• Boundary conditions for General Relativity on AdS${}_3$ and the KdV hierarchy
• Entanglement Entropy in Warped Conformal Field Theories
• Modifications to Holographic Entanglement Entropy in Warped CFT
• Holographic Rényi entropy for CFT with $W$ symmetry
• An sl(2, R) current algebra from AdS_3 gravity
• Exact Virasoro Blocks from Wilson Lines and Background-Independent Operators
• An Exact Operator That Knows Its Location
• Warped Weyl fermion partition functions
• Tweaking one-loop determinants in AdS${}_3$
• Correlation Functions of Warped CFT
• Chiral Liouville Gravity
• Bootstrapping holographic warped CFTs or: how I learned to stop worrying and tolerate negative norms
• Entanglement and chaos in warped conformal field theories
• TASI Lectures on the Emergence of the Bulk in AdS/CFT
• Free boundary conditions and the AdS${}_3$/CFT${}_2$ correspondence
• New boundary conditions for (extended) ${\mathrm{AdS}}_3$ supergravity
• The AdS${}_3$ Propagator and the Fate of Locality
• AdS${}_3$ Reconstruction with General Gravitational Dressings

Cited by in corpus (3)

• Modular Hamiltonians in flat holography and (W)AdS/WCFT
• 2d Galilean Field Theories with Anisotropic Scaling
• Supersymmetric Warped Conformal Field Theory