Poking Holes in AdS/CFT: Bulk Fields from Boundary States
Abstract
We propose an intrinsic CFT definition of local bulk operators in AdS3/CFT2 in terms of twisted Ishibashi boundary states. The bulk field Phi(X) creates a cross cap, a circular hole with opposite edge points identified, in the CFT space-time. The size of the hole is parameterized by the holographic radial coordinate y. Our definition is state-independent, non-perturbative, and does not presume or utilize a semi-classical bulk geometry. We argue that, at large central charge, the matrix element between highly excited states satisfies the bulk wave equation in the AdS black hole background.
Keywords
Cite
@article{arxiv.1505.05069,
title = {Poking Holes in AdS/CFT: Bulk Fields from Boundary States},
author = {Herman Verlinde},
journal= {arXiv preprint arXiv:1505.05069},
year = {2015}
}
Comments
5 pages, 3 figures. Version 2: definition of the bulk operators is modified via the inclusion of an alternating sign: it creates a cross-cap instead of a hole with reflecting boundary. Other main conclusions are unaltered