Boundary Kinematic Space

Abstract

We extend kinematic space to a simple scenario where the state is not fixed by conformal invariance: the vacuum of a conformal field theory with a boundary (bCFT). We identify the kinematic space associated with the boundary operator product expansion (bOPE) as a subspace of the full kinematic space. In addition, we establish representations of the corresponding bOPE blocks in a dual gravitational description. We show how the new kinematic dictionary and the dynamical data in bOPE allows one to reconstruct the bulk geometry. This is evidence that kinematic space may be a useful construction for understanding bulk physics beyond just kinematics.

27 pages, 2 figures

References in corpus (6)

• Exact half-BPS Type IIB interface solutions I: Local solution and supersymmetric Janus
• A Stereoscopic Look into the Bulk
• Entanglement, Holography and Causal Diamonds
• A defect in holographic interpretations of tensor networks
• Exploring the BTZ bulk with boundary conformal blocks
• Entanglement entropy and kinematic space in BCFT and RG flow

Cited by in corpus (15)

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• Kinematic space and the orbit method
• The gravitational dynamics of kinematic space
• Kinematic space for conical defects
• Holographic integral geometry with time dependence
• Comments on spinning OPE blocks in AdS${}_3$/CFT${}_2$
• Holographic relations for OPE blocks in excited states
• Boundary Holographic Witten Diagrams
• Entanglement entropy and kinematic space in BCFT and RG flow
• Holographic BCFT Spectra from Brane Mergers
• Quantum Information Approaches to Quantum Gravity