The Mellin Formalism for Boundary CFT$_d$
High Energy Physics - Theory
2017-10-30 v3
Abstract
We extend the Mellin representation of conformal field theory (CFT) to allow for conformal boundaries and interfaces. We consider the simplest holographic setup dual to an interface CFT - a brane filling an subspace of - and perform a systematic study of Witten diagrams in this setup. As a byproduct of our analysis, we show that geodesic Witten diagrams in this geometry reproduce interface CFT conformal blocks, generalizing the analogous statement for CFTs with no defects.
Cite
@article{arxiv.1705.05362,
title = {The Mellin Formalism for Boundary CFT$_d$},
author = {Leonardo Rastelli and Xinan Zhou},
journal= {arXiv preprint arXiv:1705.05362},
year = {2017}
}
Comments
38 pages, 7 figures; v2 references added, minor changes; v3 typos corrected, derivation in 4.3 now applies to the most general case. Published version