English

A New Framework for Higher Loop Witten Diagrams

High Energy Physics - Theory 2021-12-16 v1

Abstract

The differential representation is a novel formalism for studying boundary correlators in (d+1)(d+1)-dimensional anti-de Sitter space. In this letter, we generalize the differential representation beyond tree level using the notion of operator-valued integrals. We use the differential representation to compute three-point bubble and triangle Witten diagrams with external states of conformal dimension Δ=d\Delta=d. We compare the former to a position space computation.

Keywords

Cite

@article{arxiv.2112.08226,
  title  = {A New Framework for Higher Loop Witten Diagrams},
  author = {Aidan Herderschee},
  journal= {arXiv preprint arXiv:2112.08226},
  year   = {2021}
}

Comments

4 pages + appendices

R2 v1 2026-06-24T08:18:42.257Z