On the Exchange Interactions in Holographic p-adic CFT
High Energy Physics - Theory
2017-11-22 v2
Abstract
There is a renewed interest in conformal field theories (CFT) on ultrametric spaces (p-adic field and its algebraic extensions) in view of their natural adaptability in the holographic setting. We compute the contributions from the exchange interactions to the four-point correlator of the CFT using Witten diagrams with three-scalar interaction vertex. Together with the contributions from the bulk four-point interaction, the contact term, these provide a complete answer. We remark on the singularity structure in Mellin space, and argue that all these models are analogues of adS_2/CFT_1.
Cite
@article{arxiv.1705.05678,
title = {On the Exchange Interactions in Holographic p-adic CFT},
author = {Parikshit Dutta and Debashis Ghoshal and Arindam Lala},
journal= {arXiv preprint arXiv:1705.05678},
year = {2017}
}
Comments
1+12 pages, 7 figures (an error in the interpretation of the spectrum, and typos, corrected; text modified accordingly, and acknowledgement added)