New relation for Witten diagrams

Creators: Albayrak, Soner; Chowdhury, Chandramouli; Kharel, Savan

Abstract

In this paper, we present a simple and iterative algorithm that computes Witten diagrams. We focus on the gauge correlators in AdS in four dimensions in momentum space. These new combinatorial relations will allow one to generate tree level amplitudes algebraically, without having to do any explicit bulk integrations; hence, leading to a simple method of calculating higher point gauge amplitudes.

Additional Information

© 2019 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: July 31, 2019; Revised: September 23, 2019; Accepted: October 11, 2019; Published: October 30, 2019. We would like to thank Paolo Benincasa, David Meltzer, and Sarthak Parikh for discussions. We also would like to thank Nima Arkani-Hamed and Paolo Benincasa for sharing the draft of their unpublished paper which tackles related problems. CC thanks R. Loganayagam and Suvrat Raju for discussions and guidance. All the figures were created in Tikz. SK was supported by DRFC Discretionary Funds from Williams College. SA is supported by NSF grant PHY-1350180 and Simons Foundation grant 488651.

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