Continuously Crossing u=z in the H3+ Boundary CFT
Abstract
For AdS boundary conditions, we give a solution of the H3+ two point function involving degenerate field with SL(2)-label b^{-2}/2, which is defined on the full (u,z) unit square. It consists of two patches, one for z<u and one for u<z. Along the u=z "singularity", the solutions from both patches are shown to have finite limits and are merged continuously as suggested by the work of Hosomichi and Ribault. From this two point function, we can derive b^{-2}/2-shift equations for AdS_2 D-branes. We show that discrete as well as continuous AdS_2 branes are consistent with our novel shift equations without any new restrictions.
Keywords
Cite
@article{arxiv.0707.1463,
title = {Continuously Crossing u=z in the H3+ Boundary CFT},
author = {Hendrik Adorf and Michael Flohr},
journal= {arXiv preprint arXiv:0707.1463},
year = {2009}
}
Comments
version to appear in JHEP - 12 pages now; sign error with impact on some parts of the interpretation fixed; material added to become more self-contained; role of bulk-boundary OPE in section 4 more carefully discussed; 3 references added